6.75 For laminar flow in a pipe, wall shear stress (7,) causes the velocity distribution to change from uniform to parabolic as shown. At the fully developed section (section 2), the veloc- ity is distributed as follows: u = uma[1 – (r/ro)´]. Derive a formula for the force on the wall due to shear stress, F,, be- tween 1 and 2 as a function of U (the mean velocity in the pipe), p, P1, P2, and D (the pipe diameter). To DRORE M675

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter14: Fluid Mechanics
Section: Chapter Questions
Problem 81P: Prove the sped of an incompressible fluid through a constriction, such as a Venturi tube, increases...
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6.75 For laminar flow in a pipe, wall shear stress (T) causes
the velocity distribution to change from uniform to parabolic
as shown. At the fully developed section (section 2), the veloc-
ity is distributed as follows: u = umax[1 – (r/r)´]. Derive a
formula for the force on the wall due to shear stress, F,, be-
tween 1 and 2 as a function of U (the mean velocity in the
pipe), p, P1, P2, and D (the pipe diameter).
To
PROBLEM 6.75
Transcribed Image Text:12:15 56 6.75 For laminar flow in a pipe, wall shear stress (T) causes the velocity distribution to change from uniform to parabolic as shown. At the fully developed section (section 2), the veloc- ity is distributed as follows: u = umax[1 – (r/r)´]. Derive a formula for the force on the wall due to shear stress, F,, be- tween 1 and 2 as a function of U (the mean velocity in the pipe), p, P1, P2, and D (the pipe diameter). To PROBLEM 6.75
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