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At a sudden contraction in a pipe the diameter changes from D₁ to D2. The pressure drop, AP, which develops across the contraction is a function of D₁ and D2, as well as the velocity, V, in the larger pipe, and the fluid density, p, and viscosity, u. Use D1, V, and μ as repeating variables to determine a suitable set of dimensionless parameters. Why would it be incorrect to include the velocity in the smaller pipe as an additional variable?
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