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
The discharge through an orifice depends on the diameter D of the …
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The flow versus differential head for a 1-in. orifice is given in the figure. The orifice coefficient is assumed to be constant at 0.6 except for very low flow where the Reynolds number is small. a. Show that the resistance at any head is given by R=2 √(h / 2 g) / K A(sec / ft^2). b. Determine R at the following values of h: 16,20,24. c. Relative to R at h=20, what is the percentage variation in R at the 16 and 24 ft. values. | Numerade
The flow versus differential head for a 1-in. orifice is given in the figure…
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2 a spherical tank has a circular orifice in its bottom through which the liquid flows out fig the flow rate through the hole can be estimated as qout cav2gh where qout outflow ms an empiric 03315
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