Problem 2: Average Velocity for Mass Balance in Flow down a Vertical Plate For a layer of liquid flowing in a laminar flow in the z direction down a vertical plate or surface, the velocity profile is: Pg8? V, = 2µ Where dis the thickness of the layer, x is the distance from the free surface of liquid toward the plate, and vz is the velocity at a distance x from the free surface. Consider the wall to have a depth of w in the y-direction and a length L in the z-direction. (a) Provide a sketch of the system described above with appropriate coordinates and origin point (b) What is the maximum velocity vz-mar? Show that the expression you get has the units of velocity. (c) Derive the expression for the average velocity vz-av and relate that to vz-max
Problem 2: Average Velocity for Mass Balance in Flow down a Vertical Plate For a layer of liquid flowing in a laminar flow in the z direction down a vertical plate or surface, the velocity profile is: Pg8? V, = 2µ Where dis the thickness of the layer, x is the distance from the free surface of liquid toward the plate, and vz is the velocity at a distance x from the free surface. Consider the wall to have a depth of w in the y-direction and a length L in the z-direction. (a) Provide a sketch of the system described above with appropriate coordinates and origin point (b) What is the maximum velocity vz-mar? Show that the expression you get has the units of velocity. (c) Derive the expression for the average velocity vz-av and relate that to vz-max
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 5.54P
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