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 uthrough a circular pipe. The velocity profile isshown in the figure, where umax is themaximum velocity, which occurs at thecenterline; r is the radial distance from thecenterline; u(r) is the flow velocity at anyposition r. Develop a relation for the drag forceexerted on the pipe wall by the fluid in theflow direction per unit length of the pipe.u(r) = umax (1 – r"/R")rUmax

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Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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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

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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