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 = 0.0720 m2. The gas has a density of ? = 1.30 kg/m3. The Venturi meter has a cross-sectional area of A1 = 0.0249 m2 and has been substituted for a section of the larger pipe. The pressure difference between the two sections is P2 - P1 = 162 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

By continuity: aV = Av, => v = (a/A)V,

Bernoulli's principle:

P +

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