Question

Kerosene at 68°F is pumped from a reservoir vented to the atmosphere and delivers it to point B at a low rate of 1,600 gpm. If the pressures at points A and B are measured to be 5 psig and 75 psig, respectively, calculate 2. a. the head loss, hr.(ft) caused by pipe friction (Ggnoring minor losses) in the discharge piping between the pump and Point B, and the hydraulic horsepower delivered by the pump to the water, b. (hp). 200-ft lons o tcel pi 45- lo 6-in stiu dele uto teel pile min Wut intoutio du neeol

Answer 1

Given, pressure at point A = P_A = 5 Psig = 34473.8 Pascal

pressure a point B = P_B = 75 Psig = 517106.775 Pascal

volume flow rate = Q = 1600 gpm ( gallons per minute) = 0.100944 m³/s

Elevation of pipe = 2600 ft = 792.48 m

assuming density of kerosene at 68 deg F as $\rho$ = 800 kg/m³

Referring to the below figure writing bernouilli's equation between points A and B ,

l B 260 ofl

a)

pipe is (ome VA V Poo 4.81

hence we obtain head loss as h_L = 853.9776 m = 2801.76378 ft

this loss has to be provided by the given pump

b) Power of pump = $\rho$gQh_L = 800*9.81*0.100944*853.9776 = 676528.3238 W = 676.5283238 KW =906.874 HP