Explain briefly what is meant by fully developed laminar flow. The velocity u at any radius r in fully developed laminar flow through a straight horizontal pipe of internal radius ro is given by u= (1/4µ)(ro2-r2)dp/dx dp/dx is the pressure gradient in the direction of flow and u is the dynamic viscosity. Show that the pressure drop over a length L is given by the following formula. Ap=32μLu/D² The wall skin friction coefficient is defined as C= 21/(pum²). Show that C= 16/Re where Re = pumD/μ and p is the density, um is the mean velocity and to is the wall shear stress.

Explain briefly what is meant by fully developed laminar flow. The velocity u at any radius r in fully developed laminar flow through a straight horizontal pipe of internal radius ro is given by u= (1/4µ)(ro2-r2)dp/dx dp/dx is the pressure gradient in the direction of flow and u is the dynamic viscosity. Show that the pressure drop over a length L is given by the following formula. Ap=32μLu/D² The wall skin friction coefficient is defined as C= 21/(pum²). Show that C= 16/Re where Re = pumD/μ and p is the density, um is the mean velocity and to is the wall shear stress.

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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