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in Fluid Mechanics by (118k points)
The diameters of a pipe at the sections 1 and 2 are 8 cm and 13 cm respectively. Find the discharge through pipe if the velocity of water flowing through the pipe at section 1 is 6 m/s. Determine also the velocity at section 2.

(a) 2.27 m/s

(b) 4.54 m/s

(c) 1.13 m/s

(d) 3.25 m/s

The question was asked in homework.

I'm obligated to ask this question of Continuity Equation in Two and Three Dimensions in portion Kinematics of Flow and Ideal Flow of Fluid Mechanics

1 Answer

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Best answer
Correct option is (a) 2.27 m/s

To explain I would say: According to continuity equation,

                         Area × velocity = constant

                         Area1*Velocity1 = Area2*Velocity2

                         Velocity2=(Area1*Velocity1)/Area2

                                       = (8^2 * 6) / 13^2=2.27 m/s.

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