1. Start from the following equations from class notes (treat as given): The shear stress in pipe flow T = - du The fluid velocity in the pipe u = AP D² 16μl² [1 - (-)²), Derive clearly the following results: (a) The shear stress on the wall of the pipe, Tw. (b) The average velocity in the pipe flow, ū. (c) The Darcy friction factor, defined by f where L is the length of the pipe. 8 Tw pū² (d) Express the result of (c) in terms of the Reynolds number, Re. (e) Find an expression for the head loss due to shear stress at the wall, AH,, in terms of f,u, D and L. (f) What are the main assumptions in the fluid flow, in order to analyse the flow in this way?

1. Start from the following equations from class notes (treat as given): The shear stress in pipe flow T = - du The fluid velocity in the pipe u = AP D² 16μl² [1 - (-)²), Derive clearly the following results: (a) The shear stress on the wall of the pipe, Tw. (b) The average velocity in the pipe flow, ū. (c) The Darcy friction factor, defined by f where L is the length of the pipe. 8 Tw pū² (d) Express the result of (c) in terms of the Reynolds number, Re. (e) Find an expression for the head loss due to shear stress at the wall, AH,, in terms of f,u, D and L. (f) What are the main assumptions in the fluid flow, in order to analyse the flow in this way?

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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