The discharge of a centrifugal pump is a function of the rotational speed of the pump, N, the diameter of the impeller, D, the head across the pump, h_p, the viscosity of the fluid, μ, the density of the fluid, ρ, and the acceleration due to gravity, g. The functional relationship is Q = f (N, D, h_p, μ, ρ, g). By dimensional analysis, fi nd the dimensionless parameters. Express your answer in the form

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Q = f(T1, T2, Ti3) ND