A liquid of density and viscosity is pumped at volume flow rate V through a

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 v. The pump supplies a pressure rise DP 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 non dimensional parameters that appear in your result.