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 = 0.0600 m^2. The gas has a density of ? = 1.50 kg/m^3. The Venturi meter has a cross-sectional area of A1 = 0.0400 m^2 and has been substituted for a section of the larger pipe. The pressure difference between the two sections is P2 - P1 = 180 Pa.

(a) Find the speed v2 of the gas in the larger original pipe.

(b) Find the volume flow rate Q of the gas.

Explanation / Answer

a ) : for venturi meter

let p2 and A2 are properties at entry point

and p1 and A1 are properties at narrow point

P2- P1 = /2 (v1^2 - v2^2)

180 = 0.75 (v1^2 - v2^2) ----------->eqtn1

from continuity eqtn

A1v1 = A2v2

0.04 v1 = 0.06 v2

v1 = 1.5 * v2 --------eqtn2

put this value in eqtn 1

180 = 0.75 (2.25 v2^2 - v2^2)

240 = 2.25 v2^2 - v2^2

240 = 2.25 v2^2

v2 = 10.327 m/sec

b )

Q = v1A1 = v2A2

and from eqtn 1

we get, Q = 0.83138 m3/sec

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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