Form, Lift, Drag and Propulsion

University of Iowa
15 Apr 201123:29

Summary

TLDRThis script delves into the intricacies of fluid dynamics, focusing on flow separation from boundaries and its impact on various applications. It explains how adverse pressure gradients and shear zones in boundary layers lead to separation, affecting flow patterns, drag, and potentially causing structural issues. The video discusses methods to mitigate separation, such as streamlining and controlling boundary layers, and explores the concept of circulation and its role in cross-thrust and lift, particularly in the context of airfoils and propellers. It concludes with insights into the design of propulsive machinery, emphasizing the importance of blade shape and flow dynamics in efficiency.

Takeaways

  • đŸš« Separation of flow from a boundary is not just a geometric effect; it requires an adverse pressure gradient and a zone of flow as produced by shear in the boundary layer.
  • 🔄 The central streamlines do not separate as pressure rises toward the point of stagnation, but separation occurs when the fluid in contact with a surface is at rest and cannot be further decelerated.
  • 📍 Separation points on bodies of appreciable curvature move forward from the zone of maximum pressure rise to where deceleration first occurs.
  • 💹 Separation leads to changes in flow patterns, increased boundary drag, energy expenditure, and can cause flow oscillation, pressure fluctuations, noise, and structural damage.
  • đŸȘ‚ Parachutes and baffles operate on the principle of separation, but in general, separation should be avoided by controlling the boundary layer or the pressure gradient.
  • 🔄 The retardation by shear can be offset by moving boundaries, preventing separation, similar to discharging fluid tangentially into the boundary layer region.
  • 📉 The drag coefficient indicates the effect of separation and is the ratio of the longitudinal force exerted by the flow to the stagnation pressure.
  • 🛠 Streamlining can reduce drag significantly, especially under optimum conditions, by minimizing the separation surface and adverse pressure gradient.
  • ⚫ A sphere represents intermediate streamlining, with a pressure distribution indicating separation still occurs, as shown by smoke injection into the wake.
  • 🔄 The mathematical concept of circulation is useful in analyzing the cross-thrust exerted on bodies in relative motion, defined as the line integral of the tangential component of velocity around a closed curve.
  • đŸ›« Lifting veins are designed to take advantage of flow-induced cross-thrust, with a lift coefficient proportional to the relative circulation and the angle of attack.

Q & A

  • What is the primary cause of flow separation in fluid dynamics as described in the script?

    -Flow separation primarily occurs due to an adverse pressure gradient, which is common in regions of deceleration, and also requires a zone of already existing flow, such as that produced by shear in the boundary layer.

  • Why do central streamlines not separate as the pressure rises toward the point of stagnation?

    -Central streamlines do not separate because the flow between them is not affected by shear, and the fluid in contact with a splitter plate is already at rest and cannot be further decelerated.

  • What are the three important occurrences that result from flow separation?

    -The three important occurrences are changes in the anticipated flow pattern, the production of boundary drag which expends energy through the generation of eddies that rapidly transform into turbulence, and the potential for flow oscillation leading to pressure fluctuation, noise generation, and possibly structural damage.

  • How can separation be avoided in the operation of parachutes and baffles?

    -Separation can be avoided by controlling the boundary layer or the pressure gradient, or both. For example, if the boundary moves with the flow, the retardation by shear is offset, preventing separation.

  • What is the purpose of guide vanes in fluid dynamics as mentioned in the script?

    -Guide vanes are used to change the pressure field as a whole. They can conform to the original boundary and increase the relative radius of curvature locally, or they can be used to redesign the structure to improve flow efficiency.

  • What is the drag coefficient and how is it related to separation in fluid dynamics?

    -The drag coefficient is a dimensionless number that indicates the effect of separation. It represents the longitudinal force exerted by the flow per unit projected area in its ratio to the stagnation pressure. It helps in understanding the resistance of a body moving through a fluid.

  • How does the shape of a body affect its drag in fluid dynamics?

    -The shape of a body affects its drag by influencing the flow pattern around it. A streamlined shape reduces drag significantly by minimizing the pressure reduction at the rear and the adverse pressure gradient.

  • What is the significance of circulation in analyzing the cross-thrust exerted on certain bodies in relative motion?

    -Circulation, defined as the line integral of the tangential component of velocity around a closed curve, is a measure of the fluid's tendency to circulate around the curve. It is crucial in analyzing cross-thrust because it affects the velocity and pressure distribution around bodies, leading to side forces.

  • How does the angle of attack of a lifting vein affect its lift coefficient?

    -The lift coefficient of a lifting vein is proportional to the relative circulation, which in turn is proportional to the sine of the angle of attack. As the angle of attack increases, the lift increases until a point called stall is reached, after which the lift decreases.

  • What is the effect of aspect ratio on the lift-to-drag ratio of a lifting vein?

    -The lift-to-drag ratio of a lifting vein decreases as the aspect ratio (length over chord) decreases. This is due to a tip effect, where flow occurs around the end of the vein, diminishing the pressure difference and thus reducing efficiency.

  • How does the design of a propeller blade vary with its radial position?

    -Each radial section of a propeller blade moves with a different velocity, so the blade must vary continuously in shape from tip to hub. This variation ensures that each element of the blade has a different angle of attack to maintain efficient design.

Outlines

00:00

🚀 Fluid Dynamics and Flow Separation

This paragraph delves into the complexities of fluid dynamics, particularly focusing on the phenomenon of flow separation from boundaries. It explains how separation occurs not only due to an adverse pressure gradient but also requires a zone of flow affected by shear in the boundary layer. The script discusses the effects of separation, such as altered flow patterns, increased boundary drag, and potential flow oscillations, which can lead to structural damage. It also highlights methods to control or prevent separation, such as manipulating the boundary layer or pressure gradient, and introduces the concept of guide veins to improve flow efficiency. The importance of understanding separation is emphasized through its relevance in various applications like parachutes and baffles, and the paragraph concludes with an explanation of the drag coefficient and its significance in assessing the impact of separation on pressure distribution and flow resistance.

05:02

đŸ›°ïž Streamlining and the Impact of Shape on Fluid Resistance

The second paragraph examines the influence of an object's shape on the fluid resistance it encounters, illustrating how streamlined forms can significantly reduce drag. It discusses the concept of streamlining and how it can minimize the adverse pressure gradient and separation effects, leading to a reduction in boundary layer drag. The paragraph provides examples of how adding a rounded front or a well-faired tail piece can mitigate separation and reduce drag. It also touches on the relationship between a body's projected area, shape, and the resulting resistance, using the sphere as a reference point for comparison. The discussion extends to the effects of two-dimensional flow and the drag coefficient, explaining how it can be influenced by the body's shape and the presence of other bodies in the flow field. The paragraph concludes with an exploration of the mathematical concept of circulation and its role in analyzing cross-thrust on bodies in relative motion.

10:02

🌀 Vorticity and the Dynamics of Lifting Veins

This paragraph explores the concept of vorticity and its effects on the dynamics of lifting veins. It explains how circulation, a measure of the fluid's tendency to circulate around a curve, can influence the flow pattern and pressure distribution around bodies like cylinders. The paragraph describes the cross-thrust phenomenon, which can cause deflection in spinning objects, and introduces the Karman vortex street, a series of vortices shed alternately from the sides of an oscillating cylinder. It also discusses the instability of certain structural sections, such as the Tacoma Narrows Bridge, and how circulation can be harnessed in lifting veins to generate lift. The paragraph concludes with an analysis of the lift coefficient in relation to the angle of attack and the effects of stall on the flow pattern around an airfoil.

15:05

✈ Aerodynamics of Propellers and Hydrofoils

The fourth paragraph focuses on the aerodynamics of propellers and hydrofoils, explaining how the principles of lifting veins are applied to these technologies. It discusses the importance of blade shape and angle of attack in determining the lift and drag forces that contribute to the axial thrust and torque of a propeller. The paragraph also touches on the effects of tip vortices and the downwash they create, which can impact the efficiency of lifting surfaces. It further explains how hydrofoils can be used to lift boats out of the water, reducing wave resistance and increasing speed and stability. The discussion extends to the historical use of lifting principles in windmill technology and the modern application of these principles in various types of propellers and turbines.

20:10

đŸŒȘ Advanced Propulsion Systems and Fluid Dynamics

The final paragraph discusses advanced propulsion systems, such as jet engines and torque converters, and their underlying fluid dynamics principles. It explains how stationary guide vanes and moving blades work together to create thrust in a manner similar to lifting veins. The paragraph also addresses the challenges of designing for the compressibility of gases and the importance of matching flow rates, approach directions, and runner speeds to avoid stall and maintain efficiency. It concludes with a look ahead to the next film in the series, which will delve into the effects of compressibility on fluid dynamics.

Mindmap

Keywords

💡Separation of Flow

Separation of flow refers to the phenomenon where a fluid detaches from a solid surface, such as a boundary or plate, due to an adverse pressure gradient. In the context of the video, it is a critical concept explaining how flow patterns change around objects, leading to various effects like drag and turbulence. The script mentions that separation requires not only an adverse pressure gradient but also a zone of already decelerated flow, as seen in the boundary layer.

💡Boundary Layer

A boundary layer is a thin layer of fluid in the immediate vicinity of a bounding surface where the effects of viscosity are dominant. The video script discusses how the boundary layer plays a crucial role in flow separation, affecting the pressure distribution and leading to phenomena like drag. It is also mentioned that manipulating the boundary layer can help control separation, which is vital for the operation of devices like parachutes and baffles.

💡Adverse Pressure Gradient

An adverse pressure gradient is a pressure gradient that acts in the opposite direction to the flow, causing the fluid to decelerate. The script explains that separation of flow generally requires an adverse pressure gradient, which is a common occurrence in regions of flow deceleration. It is a key factor in the development of flow patterns around bodies and the resulting aerodynamic effects.

💡Drag Coefficient

The drag coefficient is a dimensionless quantity that is used to quantify the resistance of an object moving through a fluid. In the script, it is mentioned as an important parameter that indicates the effect of separation on the flow. The drag coefficient is defined as the ratio of the longitudinal force exerted by the flow per unit projected area to the stagnation pressure, and it is used to compare the drag of different shapes, like the yellow disc and a well-faired tail piece.

💡Streamlining

Streamlining is the process of designing the shape of an object to reduce air resistance, thereby minimizing drag. The video script highlights that under optimal conditions, streamlining can reduce drag by as much as 95%. It is an essential concept in the design of efficient vehicles and structures, as it directly impacts their performance and energy consumption.

💡Circulation

Circulation in fluid dynamics is the line integral of the tangential component of velocity around a closed curve, indicating the fluid's tendency to circulate around the curve. The script introduces the concept of circulation to analyze the cross-thrust exerted on bodies in relative motion, such as the deflection of a spinning baseball. It is a fundamental concept in understanding lift and the behavior of fluid around objects.

💡Lift

Lift is the force that opposes the weight of an object and supports it in the air or fluid. The script discusses lift in the context of lifting veins, which are designed to take advantage of flow-induced cross-thrust. Lift is a critical concept in aerodynamics, especially in the design of wings and other airfoils, and is directly related to the circulation around the object.

💡Tip Vortex

A tip vortex is a swirling flow of fluid that forms at the tip of a lifting surface, such as an airfoil or a propeller blade. The script describes the formation of tip vortices and their impact on the flow behind the lifting surface, contributing to phenomena like downwash. Understanding tip vortices is important for predicting the performance and stability of lifting surfaces.

💡Aspect Ratio

The aspect ratio in the context of airfoils and wings is the ratio of the length to the average chord of the airfoil. The script mentions that the aspect ratio affects the lift-to-drag ratio of an airfoil, with higher aspect ratios generally providing better performance. It is a key parameter in the design of wings and other lifting surfaces.

💡Cavitation

Cavitation is the formation of vapor cavities in a liquid due to a rapid decrease in pressure. In the script, cavitation is discussed in relation to ship propellers, where it can cause a reduction in efficiency and potential damage. It is an important consideration in the design of propellers and other marine equipment to ensure smooth operation.

💡Compressibility

Compressibility is a property of a fluid that describes its ability to change volume in response to pressure changes. The script notes that compressibility is an important factor in the design of high-speed propulsion systems, such as jet engines, where it can significantly affect performance. Understanding compressibility is crucial for optimizing the efficiency and operation of such systems.

Highlights

The concept of flow separation from a boundary and its effects on fluid dynamics.

Explanation of how separation reduces the curvature of the limiting streamline until a physically possible pressure field is realized.

The necessity of an adverse pressure gradient and a zone of already decelerated flow for separation to occur.

The behavior of central streamlines in relation to pressure changes and the role of shear in boundary layer separation.

The impact of separation on flow patterns, boundary drag, and the generation of turbulence.

How separation can cause flow oscillation, leading to pressure fluctuations, noise, and potential structural damage.

The importance of controlling boundary layer or pressure gradient to avoid separation in applications like parachutes and baffles.

Techniques to prevent separation, such as moving boundaries and fluid discharge into the boundary layer.

The use of guide veins to alter the pressure field and improve flow efficiency.

Introduction of the drag coefficient as a measure of separation effect and its significance in flow analysis.

The role of streamline form in reducing drag and the concept of streamlining in various applications.

The mathematical concept of circulation and its application in analyzing cross-thrust on bodies in relative motion.

Demonstration of how circulation can be produced by boundary layer shear around a rotating body.

The impact of oscillation of flow pattern on cross-thrust and the resulting oscillatory motion of structures.

The design principles of lifting veins to maximize flow-induced cross-thrust and their application in aircraft wings and hydrofoils.

The relationship between the lift coefficient, circulation theory, and the angle of attack of a lifting vein.

The effects of aspect ratio on the lift-to-drag ratio and the role of tip vortices in reducing efficiency.

The application of lifting vein principles in windmill and propeller design for efficient energy conversion.

The complexity of slipstream and tip vortex effects in ship propellers and their impact on thrust and torque.

The function of stationary guide veins in altering circulation without doing work, as seen in torque converters.

The general principle of using stationary and moving blades in jet engines for propulsive machinery.

Transcripts

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[Music]

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in our previous films separation of flow

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from a boundary was treated as a purely

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geometric effect a plate or orifice

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diaphragm for example is usually too

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thin for the flow to follow without an

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impossibly low pressure at the

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edge separation simply reduces the

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curvature of the limiting stream line

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till a physically possible pressure

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field is

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realized in general however separation

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requires not only an adverse pressure

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gradient as in any region of

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deceleration but also a zone of already

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flow as is produced by Shear in

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the boundary

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layer

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here the central stream lines do not

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separate as the pressure Rises toward

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the point of stagnation because the flow

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between them is not otherwise

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but the fluid in contact with a

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splitter plate is already at rest and

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cannot be further decelerated so the

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separation must take place if the flow

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is to

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continue as the boundary layer develops

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around any body of appreciable curvature

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the point of Separation rapidly moves

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forward from the zone of maximum

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pressure rise at the rear to the Zone

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where deceleration first

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occurs as a matter of fact no change in

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boundary alignment is really

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necessary just so long as there is a

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sheer zone of low velocity and an

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adverse pressure gradient such as

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prevails beneath the front of this Ulus

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surge moving slowly against the

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flow

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separation leads to three important

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occurrences first the changes of the

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anticipated flow pattern for instance

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this channel expansion obviously does

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not cause the flow itself to expand as

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rapidly as

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desired secondly it produces boundary

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drags thereby expending energy through

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the generation of edes which rapidly

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transform to

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turbulence finally it can lead to oscill

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of the flow with a corresponding

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pressure fluctuation boundary vibration

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noise generation and perhaps even

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structural

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damage though separation is very

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essential in the operation of parachutes

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and baffles it should in general be

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avoided by the control of the boundary

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layer or the pressure gradient or of

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both together if the boundary moves with

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the flow for example the retardation by

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Shear is offset and separation obviously

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is

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prevented much the same elimination of

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separation is realized if as is now

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beginning to occur fluid is discharged

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tangentially into the boundary layer

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region through boundary

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slots even better results will next be

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seen to obtain as the boundary layer

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fluid is sucked into the slots as

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rapidly as it is

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a change in the pressure field

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as a whole is provided by the

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introduction of guide

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veins these can be made to conform to

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the original boundary and thus increase

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the relative radius of curvature locally

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or else the whole structure can be

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redesigned accordingly as in the case of

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this miter bend the flow is obviously

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much worse without the veins but much

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more efficient once veins have been

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installed a type of Oiler number that

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indicates the effect of separation is

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known as the drag

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coefficient the longitudinal force

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exerted by the flow per unit projected

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area in its ratio to the stagnation

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pressure for extreme Degrees of

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Separation as must occur at the edges of

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this

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dis measur of the pressure distribution

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at the numbered Pomers on the front and

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rear faces will show the cause of the

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drag as air now begins to flow from left

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to right the front of the dis becomes

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subject to positive pressure and the

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rear to appreciable

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suction the integral of the pressure

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distribution will yield the same Force

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as that measured on such an air tunnel

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Dynam

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mometer the high drag of the yellow disc

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can be reduced appreciably by adding a

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rounded front which minimizes the

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curvature of the separation surface and

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thus somewhat alleviates the pressure

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reduction at the

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rear separation is almost completely

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eliminated by adding a well fared tail

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piece to reduce the adverse pressure

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gradient since there can be no

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resistance to steady irrotational flow

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around the body with without separation

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practically the only resistance now is

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that of Shear within the boundary

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layer under Optimum conditions the

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process called streamlining can reduce

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the drag some

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95% since the resisting Force varies

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with the projected area of a body as

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well as with its shape at the same

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velocity this streamline form would then

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produce no more resistance than a dis of

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less than a quarter its diameter

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a sphere is intermediate between poor

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streamlining and good

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streamlining as can be seen from the

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distribution of pressure measured at the

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numbered

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Pomers when flow takes place from left

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to right the low pressure at the rear

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compared with the high pressure at the

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front indicates that separation still

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occurs as is shown by injecting smoke

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into the Wake the line of separation is

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even ahead of the

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midsection making the boundary layer

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turbulent prematurely by a trip wire

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tends to reduce the separation tendency

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as is evident from the shift of the

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separation point to the rear of the

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midsection compared with a body

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producing two-dimensional flow like this

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long plate a more nearly axis symmetric

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body Like A square has a much higher

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wake pressure and hence a much lower

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drag per unit

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area the drag coefficient of a square

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plate therefore is increased by cutting

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it into more nearly two dimensional

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strips and slightly separating

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them a body that is in the wake of

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another being in a zone of reduced

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velocity experiences a great reduction

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in drag as any cyle who has coasted

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along behind a truck is well

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aware these Elementary principles also

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apply to more complicated structures

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such as

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buildings roofs should not be designed

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for only positive loading since in high

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winds they are more likely to be lifted

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by suction due to separation than they

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are to be blown

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in chimneys obviously should not

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terminate within zones of separation or

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the smoke will fill the region behind

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them this has se to be the case almost

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regardless of the direction from which

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the wind

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comes probably the most UNAM line body

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is a

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parachute but obviously even this can be

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designed for maneuverability

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moreover even the human body in free

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fall can control its turning moment

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about three different

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axes as this sky diver clearly

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shows the mathematical concept of

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circulation introduced in connection

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with vorticity in our second film is

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also useful in analyzing the cross

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thrust that is exerted upon certain

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bodies in relative

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motion the circulation gamma is defined

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as the line integral of the tangential

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component of the Velocity completely

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around a closed

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curve it's thus a measure of the

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tendency of the fluid to circulate

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around the curve either in the One

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Direction or in the

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other the circular streamlines of an IR

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rotational Vortex are all lines of of

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constant circulation for the velocity

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varies inversely and the circumference

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directly with the

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radius now if the velocity field of such

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a Vortex is superposed upon the velocity

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field of ir rotational flow around the

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body say a circular

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cylinder the velocity on the one side

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will be augmented and on the other side

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diminished in proportion to the relative

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strength of the

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circulation and the flow pattern will

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change accordingly

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where the velocity is increased the

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pressure will be reduced and vice versa

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so that a side thrust will be exerted

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upon the

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cylinder such circulation can be

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produced in actuality by boundary layer

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Shear around a rotating

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body this is Illustrated quite

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graphically by Rolling a light paper

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cylinder down a miniature C

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jump because of the rotation of the

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cylinder as it leaves the jump the cross

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thrust will cause it to deviate quite

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markedly from its normal parabolic

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trajectory the same effect causes the

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deflection of a spinning baseball or a

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spinning pingpong ball from its normal

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course if a cylinder is not rotating

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however oscillation of the float pattern

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will cause the circulation to vary first

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in One Direction action and thenone in

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the other with the result that there is

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a rapid oscillation in the cross

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thrust this explains the tendency for

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telephone wires to sing in a high wind

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or it explains the whistling sound that

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is given off by this Rod as it swung

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rapidly through the

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air observation of the flow pattern

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behind such a cylinder will reveal the

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alternate shedding of vortices either

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side of the center line the circulation

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around each Vortex being just the

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opposite of the momentary circulation

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around the cylinder producing the side

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thrust the succession of such vortices

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is called the Caron Vortex

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Trail if the cylinder is free to

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oscillate under the side thrust as it is

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if suspended from light Springs it will

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gradually develop an oscillatory Motion

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in the transverse Direction and

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eventually move back back and forth over

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a distance about equal to its

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diameter an elliptical cylinder with

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major axis in the direction of the flow

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will have a more limited amplitude of

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oscillation whereas one with its major

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axis normal to the flow will oscillate

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much more

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marketly some asymmetric forms like

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either this semicircular cylinder or ice

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encrusted telephone wires are unstable

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in the T will tend to oscillate farther

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and farther with eventual breakage of

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the suspension as a

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result a similar sort of instability is

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found in various structural sections in

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particular the Tacoma Narrows Bridge

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here seen oscillating in a high wind

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prior to Ultimate

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failure

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a body that is so designed is to take

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maximum advantage of flow induced cross

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thrust is known as a lifting vein the

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circulation of the starting Vortex seen

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here is matched by an equal and opposite

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lift producing circulation around the

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foil the fact that circulation actually

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occurs around the foil is seen from the

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vortices that detach as the foil is

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stopped

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a lift coefficient can be written for a

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vein of length L and chord c as the

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lifting Force per unit vein

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area in its ratio to the stagnation

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pressure according to the circulation

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theory of lift this coefficient is

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proportional to the relative

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circulation which in turn is

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proportional to the sign of the angle of

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attack of the vein

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a plot of the measured lift coefficient

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against angle of attack shows good

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agreement with the circulation Theory at

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small angles but a great deviation at

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high angles as the phenomenon known as

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stall

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occurs by means of smoke filaments the

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gradual development of stall or Leading

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Edge separation is readily seen from the

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change in flow pattern around this

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symmetrical vein as its angle of attack

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is continuously

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increased Pomers at the numbered points

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around the profile of a vein show that

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in a steady crossflow a circulation

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induced with growing angle of attack

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produces a pressure below and a suction

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above the vein the difference increasing

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as the angle of attack increases till

play14:59

stall suddenly

play15:04

occurs as seen from this polar diagram

play15:07

of lift versus drag a well-designed

play15:10

lifting vein will display an efficiency

play15:14

or racial of lift to drag as high as 25

play15:17

or

play15:19

30 this is for an aspect ratio length

play15:22

over cord that is very

play15:25

great as the aspect ratio decreases

play15:28

however the ratio of lift to drag

play15:30

steadily

play15:31

diminishes this is because of a tip

play15:33

effect much like that of the shortened

play15:35

plate in which flow occurs around the

play15:38

end and diminishes the pressure

play15:42

difference near the middle of a vein

play15:45

smoke filaments show only a

play15:46

two-dimensional separation

play15:48

effect near the end however as the vein

play15:52

is inclined first this way and then that

play15:56

the pressure on one side and suction on

play15:58

on the other give rise to an additional

play16:01

circulation effect an intense tip

play16:06

Vortex this end view of the same

play16:09

foreshortened vein shows the growth of

play16:11

the tip Vortex to

play16:13

Perfection the resulting flow directly

play16:16

behind the vein has a downward component

play16:18

called downwash which necessarily

play16:21

increases with decreasing aspect

play16:27

ratio

play16:29

lifting veins are used not only for the

play16:31

wings of airplanes but also under modern

play16:33

hydrofoil boots to lift the holes

play16:36

completely out of the

play16:38

water this is an experimental Grumman

play16:40

craft being tested for the maritime

play16:44

Administration elimination of wave

play16:46

resistance obviously leads to much

play16:49

greater speed and

play16:54

stability the first use of the lifting

play16:56

vein principle occurred many centuri

play16:58

entries ago in connection with the

play17:00

windmill forerunners of the more recent

play17:03

airplane propeller shown

play17:07

here since each radial section of a

play17:10

propeller moves with a different

play17:12

velocity for efficient design the blade

play17:14

as a whole must vary continuously in

play17:17

shape from tip to

play17:22

HUB each successive element of the blade

play17:24

has the same forward speed but a

play17:27

tangential speed that is proportional to

play17:29

the

play17:30

radius hence each will have a different

play17:32

angle of advance and this in turn makes

play17:35

necessary a variable angle of the

play17:39

blade for the single blade element now

play17:42

shown the forward speed and the

play17:45

tangential speed determine its direction

play17:47

of motion relative to the

play17:50

fluid this and the geometry of the

play17:52

element then control the angle of attack

play17:56

the lift and drag measured right

play17:58

relative to the direction of

play18:00

motion evidently both contribute to the

play18:03

axial thrust of the propeller and to the

play18:06

tangential force that is involved in the

play18:11

torque a ship propeller usually has

play18:14

Blades of large cord so that the load is

play18:17

distributed over a greater

play18:19

area thus the local pressure drop Will

play18:22

normally not be great enough to produce

play18:26

cavitation here however

play18:28

tests conducted under extreme conditions

play18:31

in a cavitation tunnel of the Navy's

play18:34

David Taylor model Basin show by water

play18:37

vapor formation the decrease in

play18:39

slipstream diameter that must always

play18:42

occur as the propeller accelerates the

play18:44

passing

play18:45

fluid when the same state of flow is

play18:48

seen in slow motion the tip Vortex is

play18:51

found to yield a spiral tube of water

play18:53

vapor which shows the actual complexity

play18:56

of the

play18:57

slipstream

play19:00

encasing a propeller in a duct as in a

play19:02

pump or turbine eliminates both a tip

play19:05

effect and the necking down of the

play19:08

slipstream the pitch of the blades is

play19:10

often variable from the breaking limit

play19:12

to full feather in order to control the

play19:15

efficiency and other operating

play19:19

characteristics blowers pumps and turbin

play19:23

Vary from the axial flow or propeller

play19:25

type just shown to the radial flow or

play19:28

centrifugal type of this Alice Charmers

play19:33

turbine a radial flow unit is shown

play19:37

schematically in the

play19:44

laboratory the blue stationary guide

play19:47

veins give the oncoming flow a

play19:50

tangential component which ideally is

play19:53

brought again to Zero by the time the

play19:55

flow leaves the red veins of the moving

play19:57

Runner

play19:59

the work that is done by the fluid on

play20:01

the runner is proportional to the change

play20:03

in circulation that is

play20:09

produced if the camera is now rotated at

play20:12

the same speed as the runner to show the

play20:15

flow relative to its

play20:17

blades these are seen to act as lifting

play20:20

veins much like those previously

play20:23

discussed the components of both lift

play20:25

and drag evidently control the tangent

play20:28

force on the runner that does the useful

play20:35

work however if the rate of flow

play20:38

direction of approach and Runner speed

play20:41

are not properly related an effect

play20:43

comparable to stall will occur and the

play20:46

efficiency will be

play20:51

reduced a fluid coupling which serves as

play20:54

a shock-free connection between driving

play20:57

and driven Mach

play20:58

Machinery consists of a pump the green

play21:01

shaft and blades at the left and a

play21:04

turban the blue shaft and blades at the

play21:07

right compactly combined in a single

play21:12

housing if the space is filled with a

play21:15

fluid of appreciable density turning the

play21:18

input shaft and Blades will cause the

play21:20

output blades and shaft to yield the

play21:23

same torque whether rotating or

play21:25

stall because the circulation must

play21:28

increase and decrease by the same amount

play21:31

as the fluid passes from one side to the

play21:33

other and Back

play21:37

Again inclusion of a set of stationary

play21:40

veins here shown in red permits the

play21:44

circulation to be changed without doing

play21:46

work so that the output veins will yield

play21:49

a higher or lower

play21:51

torque such a unit is called a torque

play21:57

converter proper shape of the stationary

play21:59

veins will even permit the output torque

play22:02

to be reversed

play22:08

inside the general principle of using

play22:11

stationary guide veins visible in the

play22:14

upper portion of this open model of an

play22:16

aircraft jet

play22:17

engine as well as moving blades is the

play22:21

basis of most propulsive

play22:24

Machinery though the elements are

play22:25

carefully shaped and used in many

play22:28

successive stages they are all basically

play22:31

lifting veins here however not only the

play22:34

density and viscosity of the gaseous

play22:36

fluid must be considered but also its

play22:40

compressibility a property of which the

play22:42

effects will be treated in detail in the

play22:45

next and last film of this

play22:56

series

play23:06

[Music]

play23:26

oh a

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Étiquettes Connexes
Fluid DynamicsEngineeringDesignEducationalPressure GradientBoundary LayerSeparationStreamliningCirculationLifting VeinPropeller Design
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