Question

1. For the two-dimensional weir with a sharp crest shown in Figure 1, the equation for the flowrate per unit width, q, is given as 1) Applying the dimensional analysis, Buckingham theorem, show that C.' is the function of Reynolds number (Re D), Weber number (We , and P/H as given by Eq. (2). Assume that independent variables for the two-dimensional weir problem are q, H, P, μ, σ and g 4,-viscosity of water; σ-surface tension; ρ water density, g-gravitational acceleration) Figure 1. Flow over a sharp-crested weir 2) Among three dimensionless factors, P/H has been found to be the most important in determining the magnitude of C.. Show your rationale to arrive this result from Eq. (2).

Answer 1

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