Find a dimensionless function for the coefficient f

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Reference no: EM131313668

Through a series of tests on pipe flow, H. Darcy derived an equation for the friction loss in pipe flow as

783_Equ3.jpg

in which f is a dimensionless coefficient that depends on (a) the average velocity v of the pipe flow;

(b) the pipe diameter D;

(c) the fluid density ρ;

(d) the fluid viscosity μ; and

(e) the average pipe wall uneveness e (length).

Using the Buckingham p theorem, find a dimensionless function for the coefficient f.

Reference no: EM131313668

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