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 speedv2through a horizontal section of pipe whose cross-sectional areaA2=0.0700m2. The gas has a density of?=1.40kg/m3. The Venturi meter has a cross-sectional area ofA1=0.0500m2and has been substituted for a section of the larger pipe. The pressure difference between the two sections isP2-P1=190Pa.

Explanation / Answer

By continuity: aV = Av, => v = (a/A)V, Bernoulli's principle: P + ½ ?V² = p + ½ ?v², => p - P = ½ ?(V² - v²) = ?gh 84.8 = 0.5*1.3 [V² - (a/A)²V²] V = v[(84.8/0.65)/(1 - 0.0373²/0.0514²)] = 16.6 m/s Q = Va = 16.6*0.0373 = 0.62 m³/s

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