Taper Pipe

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tapered pipe?

a section of tapered pipe diameter 250mm with a liquid with a velocity of 4m/s the flow of the fluid to be steady what will the velocity of the liquid be when the pipes diameter is 150mm
what is the momentum of water per second in a jet if the velocity is 11.111m/s

The volume flow rate must be equal everywhere, so:
Q = A1 * V1 = A2 * V2

where Q is volume flow rate, A1 and A2 are the pipe areas, and V1 and V2 are the velocities of the fluid through areas A1 and A2, respectively.

Solving:

V2 = A1 * V1 / A2
V2 = (π/4 * D1^2) * V1 / (π/4 * D2^2)
V2 = V1 * D1^2 / D2^2
V2 = (4 m/s) * (0.25 m)^2 / (0.15 m)^2
V2 = (4 m/s) * 2.7778
V2 = 11.11 m/s

So the velocity at the narrow end of the pipe is 11.11 m/s.

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