Consider fully developed, steady flow of a constant density Newtonian fluid in a circular pipe of diameter D, as shown in Figure P9.5. (a) Show that the pressure gradient dp/dx = 4τw/D, where τw is the viscous shear stress at the wall. (b) If the velocity distribution is triangular, find the average velocity V at any cross section, and express the skin friction coefficient in terms of the Reynolds number based on .

Elements Of Electromagnetics
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ISBN:9780190698614
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Publisher:Sadiku, Matthew N. O.
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Consider fully developed, steady flow of a constant density Newtonian fluid in a circular pipe of diameter D, as shown in Figure P9.5.

(a) Show that the pressure gradient dp/dx = 4τw/D, where τw is the viscous shear stress at the wall.

(b) If the velocity distribution is triangular, find the average velocity V at any cross section, and express the skin friction coefficient

in terms of the Reynolds number based on .

 

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