A liquid of density ? and viscosity ? is pumped at volume
Chapter 7, Problem 72P(choose chapter or problem)
Problem 72P
A liquid of density ρ and viscosity μ is pumped at volume flow rate V̇ through a pump of diameter D. The blades of the pump rotate at angular velocity ω. The pump supplies a pressure rise ΔP to the liquid. Using dimensional analysis, generate a dimensionless relationship for ΔP as a function of the other parameters in the problem. Identify any established nondimensional parameters that appear in your result. Hint: For consistency (and whenever possible), it is wise to choose a length, a density, and a velocity (or angular velocity) as repeating variables.
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