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 = 0.0887 m2. The gas has a density of ? = 1.30 kg/m3. The Venturi meter has a cross-sectional area of A1 = 0.0309 m2 and has been substituted for a section of the larger pipe. The pressure difference between the two sections is P2 - P1 = 165 Pa. Find (a) the speed v2 of the gas in the larger original pipe and (b) the volume flow rate Q of the gas.

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 = 0.0887 m2. The gas has a density of ? = 1.30 kg/m3. The Venturi meter has a cross-sectional area of A1 = 0.0309 m2 and has been substituted for a section of the larger pipe. The pressure difference between the two sections is P2 - P1 = 165 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

in venturimetre, p2-p1 = ?v2^2 {(?1-(A1/A2)^2 }/2

v2^2 = 2 *165 /1.3 * {?1-(0.0309/0.0887)^2 }

= 330/1.3*0.937

v1 = 16.45 m/s^2

B . volume flow rate dv/dt = A1V1 = 0.0887 *16.45 = 1.459m^3/s

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