A venturi meter is a device for measuring the speed of a fluid within a pipe. Ga

Question

A venturi meter is a device for measuring the speed of a fluid within a pipe. Gas flowing at a speed v2 through a horizontal section of pipe whose cross-sectional area A2 = 0.0600 m2. The gas has a density of ? = 1.60 kg/m3. The Venturi meter has a cross-sectional area of A1 = 0.0400 m2 and has been substituted for a section of the larger pipe. The pressure difference between the two sections is P2 - P1 = 190 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

I'll try to this without drawing. 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

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.