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Unformatted text preview: Chapter 7 External Forced Convection Chapter 7 EXTERNAL FORCED CONVECTION Drag Force and Heat Transfer in External Flow 7-1C The velocity of the fluid relative to the immersed solid body sufficiently far away from a body is called the free-stream velocity , V ∞ . The upstream (or approach ) velocity V is the velocity of the approaching fluid far ahead of the body. These two velocities are equal if the flow is uniform and the body is small relative to the scale of the free-stream flow. 7-2C A body is said to be streamlined if a conscious effort is made to align its shape with the anticipated streamlines in the flow. Otherwise, a body tends to block the flow, and is said to be blunt . A tennis ball is a blunt body (unless the velocity is very low and we have “creeping flow”). 7-3C The force a flowing fluid exerts on a body in the flow direction is called drag . Drag is caused by friction between the fluid and the solid surface, and the pressure difference between the front and back of the body. We try to minimize drag in order to reduce fuel consumption in vehicles, improve safety and durability of structures subjected to high winds, and to reduce noise and vibration. 7-4C The force a flowing fluid exerts on a body in the normal direction to flow that tend to move the body in that direction is called lift . It is caused by the components of the pressure and wall shear forces in the normal direction to flow. The wall shear also contributes to lift (unless the body is very slim), but its contribution is usually small. 7-5C When the drag force F D , the upstream velocity V , and the fluid density ρ are measured during flow over a body, the drag coefficient can be determined from A F C D D 2 2 1 V ρ = where A is ordinarily the frontal area (the area projected on a plane normal to the direction of flow) of the body. 7-6C The frontal area of a body is the area seen by a person when looking from upstream. The frontal area is appropriate to use in drag and lift calculations for blunt bodies such as cars, cylinders, and spheres. 7-7C The part of drag that is due directly to wall shear stress τ w is called the skin friction drag F D , friction since it is caused by frictional effects, and the part that is due directly to pressure P and depends strongly on the shape of the body is called the pressure drag F D , pressure . For slender bodies such as airfoils, the friction drag is usually more significant. 7-8C The friction drag coefficient is independent of surface roughness in laminar flow , but is a strong function of surface roughness in turbulent flow due to surface roughness elements protruding further into the highly viscous laminar sublayer. 7-9C As a result of streamlining, ( a ) friction drag increases, ( b ) pressure drag decreases, and ( c ) total drag decreases at high Reynolds numbers (the general case), but increases at very low Reynolds numbers since the friction drag dominates at low Reynolds numbers....
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This homework help was uploaded on 03/19/2008 for the course ME 410 taught by Professor Benard during the Spring '08 term at Michigan State University.
- Spring '08
- Heat Transfer