6. Water is moving through a pipe. The velocity profile at some section is shown in Fig. (1.6) and is given mathematically as v = (B/4µ) ((đ/4)-r³) . where v = velocity of water at any position r. B = a constant. u = viscosity of water. .d= pipe diameter, and r=radial distance from centerline. What is the shear stress at the wall of the pipe due to the water? What, is the shear stress at a position r= d/4? If the given profile persists a distance L along the pipe, what drag is induced on the pipe by the water in the direction of flow over this distance. Velocity protie Figure (1.6)

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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6. Water is moving through a pipe. The velocity profile at some section is shown in
Fig. (1.6) and is given mathematically as v = (B/4u) ((d/4)-r). where v =
velocity of water at any position r. B = a constant. u = viscosity of water. .d% D
%3D
pipe diameter, and r=radial distance from centerline. What is the shear stress
at the wall of the pipe due to the water? What, is the shear stress at a position r=
d14? If the given profile persists a distance L along the pipe, what drag is
induced on the pipe by the water in the direction of flow over this distance.
-Velocity protie
Figure (1.6)
Transcribed Image Text:6. Water is moving through a pipe. The velocity profile at some section is shown in Fig. (1.6) and is given mathematically as v = (B/4u) ((d/4)-r). where v = velocity of water at any position r. B = a constant. u = viscosity of water. .d% D %3D pipe diameter, and r=radial distance from centerline. What is the shear stress at the wall of the pipe due to the water? What, is the shear stress at a position r= d14? If the given profile persists a distance L along the pipe, what drag is induced on the pipe by the water in the direction of flow over this distance. -Velocity protie Figure (1.6)
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