Question #215245

a venturimeter is used to measure liquid flow rate of 7.5x103L/min. the difference in pressure across the venturimeter is 8m of the flowing fluid. the pipe diameter is 0.19m. determine the throat diameter of the venturimeter. given Cd value is 0.96


Expert's answer

Q=CdA1A2A12A222gh(ρHgρ1),Q=C_d\frac{A_1A_2}{\sqrt{A_1^2-A_2^2}}\sqrt{2gh(\frac{\rho_{Hg}}{\rho}-1)},

A=πd24,A=\frac{\pi d^2}{4},

d2=4π2ghCd2(ρHgρ1)Q2+16π2d144=6.9 cm.d_2=\frac4{\pi \sqrt[4]{\frac{2ghC_d^2(\frac{\rho_{Hg}}{\rho}-1)}{Q^2}+\frac{16}{\pi^2 d_1^4}}}=6.9~cm.


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