An orifice with a 2 -in-diameter opening is used to measure the... | Filo
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The discharge through an orifice depends on the diameter D of the orifice, head H over the orifice, density ρof liquid, viscosity μof the liquid and acceleration g due to gravity. Using dimensional analysis, find an expression for the discharge. Hence find the dimensionless parameters on which the discharge co-efficient of an orifice meter depend. [ Hint. Q=f(D, H, ρ, μ, g). Hence N=6, m=3 and number of π-terms =3. Take ρ, D, g as repeating variables. Then π1=ρ^a1 D^b1 g^c1 Q, π2=ρ^a2 ·D^b2 ·g^c
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