+1 vote
in Fluid Mechanics by (118k points)
Two pipes of diameters d1 and d2 converge to form a pipe of diameter 2d. If the liquid flows with a velocity of v1 and v2 in the two pipes, what will be the flow velocity in the third pipe?

(a) v1 + v2

(b) v1 + v2/2

(c) v1 + v2/4

(d) 2(v1 + v2)

I got this question in an interview for internship.

My doubt is from Continuity Equation topic in section Kinematics of Flow and Ideal Flow of Fluid Mechanics

1 Answer

+2 votes
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Best answer
Correct choice is (c) v1 + v2/4

For explanation: According to the Continuity Equation,

where a represents flow area, v represents flow velocity, i is for inlet conditions and o is for outlet conditions. Thus,

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