Consider the flow of a fluid with viscosity μ through a circular pipe. The velocity profile is shown in the figure, where umax is the maximum velocity, which occurs at the centerline; r is the radial distance from the centerline; u(r) is the flow velocity at any position r. Develop a relation for the drag force exerted on the pipe wall by the fluid in the flow direction per unit length of the pipe

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
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Chapter8: Natural Convection
Section: Chapter Questions
Problem 8.28P
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Consider the flow of a fluid with viscosity μ through a circular pipe. The velocity profile is shown in the figure, where umax is the maximum velocity, which occurs at the centerline; r is the radial distance from the centerline; u(r) is the flow velocity at any position r. Develop a relation for the drag force exerted on the pipe wall by the fluid in the flow direction per unit length of the pipe

1) Consider the flow of a fluid with viscosity u
through a circular pipe. The velocity profile is
shown in the figure, where umax is the
maximum velocity, which occurs at the
centerline; r is the radial distance from the
centerline; u(r) is the flow velocity at any
position r. Develop a relation for the drag force
exerted on the pipe wall by the fluid in the
flow direction per unit length of the pipe.
u(r) = umax (1 – r"/R")
r
Umax
Transcribed Image Text:1) Consider the flow of a fluid with viscosity u through a circular pipe. The velocity profile is shown in the figure, where umax is the maximum velocity, which occurs at the centerline; r is the radial distance from the centerline; u(r) is the flow velocity at any position r. Develop a relation for the drag force exerted on the pipe wall by the fluid in the flow direction per unit length of the pipe. u(r) = umax (1 – r"/R") r Umax
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