Question: At a sudden contraction in a pipe, the diameter changes from D1 to D2. The pressure drop ?p that develops across the contraction is a

At a sudden contraction in a pipe, the diameter changes from D1 to D2. The pressure drop ?p that develops across the contraction is a function of the diameters, the velocity V2 in the larger pipe, and the fluid density ? and fluid viscosity ? (assume the fluid is incompressible). Use the variables D2, V2, and ? to nondimensionalize the remaining variables and determine a suitable set of pi terms. Show work and explain in detail why would it be incorrect to include the velocity V1 in the larger pipe as an additional variable?

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