flow in pipe through a reducer

Sample Fluid Mechanics problem with solution

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Sample Fluid Mechanics problem with solution

Given data:

Diameter of large section D1 = 10 in

Diameter of small section D2 = 5 in

Specific gravity of oil = 0.86

Volume flow rate through the pipe Q = 10 ft3/sec

Inlet pressure P1 = 60 Psi

Determine the horizontal force Fx required to hold the pipe in place.

Solution:

From the given specific gravity of oil we can find the density of oil.

Sp. Gravity = density of oil/ density of water

Density of oil = 0.86 * 0.0624 = 0.054 lb/ft3

Area for D1 = A1 = π/4 * D12 = 0.54 ft2 = 77 in2

Area for D2 = A2 = π/4 * D22 = 0.14 ft2 = 20 in2

We can obtain the velocity of oil in both sections of the pipe by using the volume flow rate expression.

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Fluid mechanics problem with solution (6 downloads)