5. Water is moving through a pipe. The velocity profile at some section is shown and is given mathematically as v = (B/4µ)(d²/4– r) where v = velocity of water at any position r, B= a constant, µu is the viscosity of water, r= radial distance for centerline, d = pipe diameter,. What is the shear stress at the wall of the pipe from the water? What is the shear stress at a position r = d/4? If the profile above persists a distance L along with the pipe, what drag is induced on the pipe by the water in the direction of flow over this distance?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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5. Water is moving through a pipe. The velocity profile at some section is shown
and is given mathematically as
v = (B/4µ)(ď²/4 –P)
where v = velocity of water at any position r, ß = a constant, µ is the viscosity of
water, r= radial distance for centerline, d = pipe diameter,. What is the shear stress
at the wall of the pipe from the water? What is the shear stress at a position r= d/4?
If the profile above persists a distance L along with the pipe, what drag is induced
on the pipe by the water in the direction of flow over this distance?
-Velocity profile
Transcribed Image Text:5. Water is moving through a pipe. The velocity profile at some section is shown and is given mathematically as v = (B/4µ)(ď²/4 –P) where v = velocity of water at any position r, ß = a constant, µ is the viscosity of water, r= radial distance for centerline, d = pipe diameter,. What is the shear stress at the wall of the pipe from the water? What is the shear stress at a position r= d/4? If the profile above persists a distance L along with the pipe, what drag is induced on the pipe by the water in the direction of flow over this distance? -Velocity profile
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