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 a speed v2 through a horizontal section of pipe whose cross-sectional area A2 = 0.0700 m2. The gas has a density of ? = 1.20 kg/m3. The Venturi meter has a cross-sectional area of A1 = 0.0300 m2 and has been substituted for a section of the larger pipe. The pressure difference between the two sections is P2 - P1 = 160 Pa. (a) Find the speed v2 of the gas in the larger original pipe. m/s (b) Find the volume flow rate Q of the gas. m3/s

Explanation / Answer

A1V1=A2V2 continuity equation ; applying bernoullis equation ; P1+0.5*1.20*V1^2 =P2+0.5*1.20*V2^2 ; 0.5*1.20*(V1^2-V2^2)=P2-P1 ; a) V2=7.74 m/s ; b) volume flow rate =V2*A2 =0.54 m^3/s

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