The volume rate of flow, Q, through a pipe containing a
Chapter 1, Problem 1.13(choose chapter or problem)
The volume rate of flow, Q, through a pipe containing a slowly moving liquid is given by the equation
\(Q=\frac{\pi R^{4} \Delta p}{8 \mu \ell}\)
where R is the pipe radius, \(\Delta p\) the pressure drop along the pipe, \(\mu\) a fluid property called viscosity \(\left(F L^{-2} T\right)\), and \(\ell\) the length of pipe. What are the dimensions of the constant \(\pi / 8\)? Would you classify this equation as a general homogeneous equation? Explain.
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