Gasoline having a specific gravity of 0. 8 is flowing in the pipe shown at a rat
ID: 1823095 • Letter: G
Question
Gasoline having a specific gravity of 0. 8 is flowing in the pipe shown at a rate of 5 cfs. What is the pressure at section 2 when the pressure at section 1 is 18 psi and the head loss is 6 ft between the two sections? (Assume alpha = 1 at all locations) Determine the discharge in the pipe and the pressure at point B. Neglect head loss. Assume alpha = 1 at all locations. As shown, water at 15degree C is flowing in a 35 cm diameter by 50 m long run of pipe that is situated horizontally. The mean velocity is 3m/s, and the head loss is 2 m. Determine the pressure drop and the required pumping power to overcome head loss in the pipe.Explanation / Answer
Velocity at 1 V1 = Q/A1 = 5/0.8 = 6.25 ft/s
Velocity at 2 V2 = Q/A2 = 5/0.2 = 25 ft/s
Applying bernoulli eqn with head loss: P1 + 1/2*V12 + gz1 = P2 + 1/2*V22 + gz2 + ghf
P2 = P1 + 1/2*(V12-V22) + g(z1-z2) - ghf
P2 = 18*122 *32.2 + 1/2*(0.8*62.4)*(6.25^2 - 25^2) + (0.8*62.4)*32.2*12 - (0.8*62.4)*32.2*6
P2 = 78482 lb-ft/s^2/ft^2
P2 = 78482/32.2 lb/ft^2 = 2437.3 lb/ft^2
P2 = 2437.3/12^2 psi = 16.9 psi
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