Determine fluid density and viscosity, Physics

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It is known that the pressure developed by a centrifugal pump, Δp, is a function of the diameter D of the impeller, the speed of rotation n, the discharge Q, and the fluid density ρ. Using the step-by-step method, determine the π-groups relating these variables.

An experimental program is being set up to calibrate a new flow meter. It is assumed that the mass flow rate is a function of the following variables:  m= (ΔP, D, μ, ρ) where Δp is the pressure difference across the meter, D is the pipe diameter, μ is the fluid viscosity, and ρ is the fluid density. Using the exponent method, find the π-groups relating these variables.


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