The volume flow rate over a sharp-crested weir, Q, is commonly expressed in the form
where We is the Weber number defined by
and V is the flow velocity over the weir, σ is the surface tension of the fluid, ρ is the density of the fluid, H is the depth of fluid over the crest of the weir, and Re is the Reynolds number defined by
where µ is the viscosity of the fluid, Hw is the height of the weir, and b is the length of the weir crest. Derive Equation 6.32 using dimensional analysis.
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