Consider a pressure-Couette flow in which fluid runs between two horizontal walls. The walls are very long and wide. The distance between the walls is h. The fluid has viscosity u and density p. The top plate is moving at a constant velocity Vtop and the bottom plate is fixed. dp > 0 along the plate. Assuming steady and There is a constant pressure gradient in the fluid fully developed flow, no velocity in the direction perpendicular to the plates, and no velocity slip on the walls. Please answer the following: dx A). В). С). reduce this equation to a second order ordinary differential equation. D). E). equation for the maximum velocity of the flow. (Hint: you need to discuss this under different conditions.) Label this figure with the appropriate coordinate system and directions. What assumptions can be made about this flow scenario? Write out the N.S. equation governing this flow along the flow direction, and Find the solution to this ODE using appropriate Boundary Conditions. Where is the location of maximum velocity for this flow solution? Write down the Vtop -dp/dx h
Consider a pressure-Couette flow in which fluid runs between two horizontal walls. The walls are very long and wide. The distance between the walls is h. The fluid has viscosity u and density p. The top plate is moving at a constant velocity Vtop and the bottom plate is fixed. dp > 0 along the plate. Assuming steady and There is a constant pressure gradient in the fluid fully developed flow, no velocity in the direction perpendicular to the plates, and no velocity slip on the walls. Please answer the following: dx A). В). С). reduce this equation to a second order ordinary differential equation. D). E). equation for the maximum velocity of the flow. (Hint: you need to discuss this under different conditions.) Label this figure with the appropriate coordinate system and directions. What assumptions can be made about this flow scenario? Write out the N.S. equation governing this flow along the flow direction, and Find the solution to this ODE using appropriate Boundary Conditions. Where is the location of maximum velocity for this flow solution? Write down the Vtop -dp/dx h
Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.6P: 5.6 A fluid flows at 5 over a wide, flat plate 15 cm long. For each from the following list,...
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