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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Concept explainers

Properties of Fluids

The term fluid represents a type of substance that can easily change its shape under any external pressure/force and can flow. Fluids can acquire any shape in which it is stored and can resist normal stresses but cannot resist shear stress in rest condition. Whenever external shear stress is applied to fluids, it starts to flow. The fluids may be liquid or gas. Example- water, air, etc.

Question

3. 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.

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