The efficiency of a pump is assumed to be a function of discharge flow rate Q, pressure increase ∆p, pipe diameter D, and fluid properties density ρ and viscosity μ. Use dimensional analysis to find an expression for pump efficiency.

A thin sheet of liquid flows down a roof. The liquid sheet velocity is a function of density ρ, slope angle θ, viscosity μ, surface tension σ, roof length l, and gravity g. Develop an expression for the velocity using the F, M, L, T system with g_c.

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Solution 1 For the first problem the efficiency of a pump is assumed to be a function of discharge flow rate Q pressure increase p pipe diameter D and fluid properties density and viscosity We can use ... View the full answer