Show that Reynold number, pud/µ, is non-dimensional. If the discharge Q through an orifice is a function of the diameter d, the pressure difference p, the density p, and the viscosity µ show that Q = C p²d²/p² where C is some function of the nondimensional group (dpp/µ). 1/22 1/2 %3D 1/21/2

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Units and Dimensions

Dimensions are the basic concepts of the measurement of quantities. Units are the means of expressing the dimensions. For instance, an area has a dimension of L2 and a unit of m2.