11.2 Through a series of tests on pipe flow, H. Darcy derived an equation for the friction loss in pipe flow as Lv² ht=fD2g 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 p; (d) the fluid viscosity µ; and (e) the average pipe wall uneveness e (length). Using the Buckingham theorem, find a dimensionless function for the coefficient f.

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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11.2 Through a series of tests on pipe flow, H. Darcy derived an
equation for the friction loss in pipe flow as
Lv²
ht=fD2g
in which fis a dimensionless coefficient that depends on (a) the
average velocity of the pipe flow; (b) the pipe diameter D;
(c) the fluid density p; (d) the fluid viscosity ; and (e) the
average pipe wall uneveness e (length). Using the Buckingham
theorem, find a dimensionless function for the coefficient f.
Transcribed Image Text:11.2 Through a series of tests on pipe flow, H. Darcy derived an equation for the friction loss in pipe flow as Lv² ht=fD2g in which fis a dimensionless coefficient that depends on (a) the average velocity of the pipe flow; (b) the pipe diameter D; (c) the fluid density p; (d) the fluid viscosity ; and (e) the average pipe wall uneveness e (length). Using the Buckingham theorem, find a dimensionless function for the coefficient f.
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