A Venturi meter is a device for measuring the speed of a fluid within a pipe. Th

Question

A Venturi meter is a device for measuring the speed of a fluid within a pipe. The drawing shows a gas flowing at speed v2 through a horizontal section of pipe whose cross-sectional area is A2 = 0.0508 m2. The gas has a density of ? = 1.30 kg/m3. The Venturi meter has a cross-sectional area of A1 = 0.0123 m2 and has been substituted for a section of the larger pipe. The pressure difference between the two sections is P2 - P1 = 69.7 Pa. Find (a) the speed v2 of the gas in the larger original pipe and (b) the volume flow rate Q of the gas.

Explanation / Answer

A1 V1 = A2 V2

V1 = 4.13 V2

69.7 = 1/2 d (V1^2 - V2^2)

V2 = 2.58

Q = A2V2= 0.131

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