The venturi flowmeter shown below is used to measure the flow rate of water in a

Question

The venturi flowmeter shown below is used to measure the flow rate of water in a solar collector system. The flowmeter is inserted in a pipe with diameter 1.9 cm; at the venturi of the flowmeter the diameter is reduced to 0.55 cm. The manometer tube contains oil with density 0.72 times that of water. If the difference in oil levels on the two sides of the manometer tube is 1.4 cm, what is the volume flow rate?
cm3/s

The venturi flowmeter shown below is used to measure the flow rate of water in a solar collector system. The flowmeter is inserted in a pipe with diameter 1.9 cm; at the venturi of the flowmeter the diameter is reduced to 0.55 cm. The manometer tube contains oil with density 0.72 times that of water. If the difference in oil levels on the two sides of the manometer tube is 1.4 cm, what is the volume flow rate?

Explanation / Answer

A1*v1 = A2*v2
v2 = A1*v1/A2 = 1.9^2*v1/0.55^2 = 11.93*v1


P1-P2 = 0.5*rho_w*(v2^2-v1^2)

1.4*0.01*0.72*9.81 = 0.5*((11.93*v1)^2-v1^2)

v1 = 0.037408511 m/s

volume rate = A*v1 = 3.14*(1.9/2)^2*10^-4*0.037408511= 10.60 cm^3/s

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