Buckingham''s pi-theorem, Mechanical Engineering

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(a) Show by use of Buckingham's Pi-Theorem that the velocity through an orifice is given by V = √2gH  f D/H , M/ΡVH , σ/ΡV2H .

Where H is the head causing flow, D is the diameter of the orifice, M is the coefficient of viscosity, ρ is mass density, σ is surface tension and g is gravitational acceleration.


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