#### Sample Fluid Mechanics problem with solution

**Given data:**

Diameter of large section D_{1} = 10 in

Diameter of small section D_{2} = 5 in

Specific gravity of oil = 0.86

Volume flow rate through the pipe Q = 10 ft^{3}/sec

Inlet pressure P_{1} = 60 Psi

Determine the horizontal force **F _{x}** 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/ft^{3}

Area for D_{1} = A_{1} = π/4 * D_{1}^{2} = 0.54 ft^{2} = 77 in^{2}

Area for D_{2} = A_{2} = π/4 * D_{2}^{2} = 0.14 ft^{2} = 20 in^{2}

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 (3 downloads)