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A long straight pipe of circular cross-section has a radius that varies along the length of the pipe. These is a steady flow in the pipe, with no sources or sinks. At one point P 1 in the pipe the radius is r 1 and the mass flux through P 1 is a constant Q1. Further along the pipe is a point P 2 where the radius is r 2 = r 1 /3. (a) The mass flux through P 2 is measured to be Q 2 , where Q 2 /Q 1 is (A) 9. (B) 3. (C) 1. (D) 1/9. (E) dependent on the fluid densities at P 1 and P 2 . (b) The ratio of flow speeds, v 2 /v 1 , is (A) 9. (B) 3. (C) 1. (D) 1/9. (E) dependent on the fluid densities at P 1 and P 2 .

A long straight pipe of circular cross-section has a radius that varies along the length of the pipe. These is a steady flow in the pipe, with no sources or sinks. At one point P1 in the pipe the radius is r1 and the mass flux through P1 is a constant Q1. Further along the pipe is a point P2 where the radius is r2 = r1/3.
(a) The mass flux through P2 is measured to be Q2, where Q2/Q1 is
(A) 9.                                    (B) 3.                                    (C) 1.                                     (D) 1/9.
(E) dependent on the fluid densities at P1 and P2.
(b) The ratio of flow speeds, v2/v1 , is
(A) 9.                                    (B) 3.                                    (C) 1.                                     (D) 1/9.
(E) dependent on the fluid densities at P1 and P2.

Grade:10

2 Answers

Jitender Pal
askIITians Faculty 365 Points
8 years ago
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235-464_1.PNG
Nageen
13 Points
3 years ago
A long straight pipe of circular cross-section has a radius that varies along the length of the pipe. These is a steady flow in the pipe, with no sources or sinks. At one point P1 in the pipe the radius is r1 and the mass flux through P1 is a constant Q1. Further along the pipe is a point P2 where the radius is r2 = r1/3.
(a) The mass flux through P2 is measured to be Q2, where Q2/Q1 is
(A) 9.                                    (B) 3.                                    (C) 1.                                     (D) 1/9.
(E) dependent on the fluid densities at P1 and P2.

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