Sample Fluid Mechanics problem with solution
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.
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.
Download complete solution (Link below)