Problem 2 (50 p oints A water pumping system includes two tanks, centrifugal pum
ID: 637907 • Letter: P
Question
Problem 2 (50 p oints A water pumping system includes two tanks, centrifugal pump system. The head capacity of the pump is given by the relation where Q is in m/s and ha is in meters. The minor losses in inlet, sharp edged exit, five elbows (90°, open), and one filter with a loss coefficient equals to 2 and a pipe connection the pipe include sharp edg threaded, regular), two globe valves (fully 1. Calculate the flow (0) at which the pump will operate Include both major rate 2 and minor losses. Range of velocity in the pipeline 1s 35 m/s 4.5/.37m2lsmg 2. If osses.Range o t the flow rate through the system shown in the figure isq what is the pressure at poin distance of 10 pump is pump intake meters from the first tank. Consider only major losses with a t (y) at the friction coefficient equal to 0.01 and neglect minor losses. water d water specific weight-9.8 kN/m3 ensity = 999 kg/m 3, water viscosity = 1.3x10-3 kg/(m s), Second tank ressure is zero gag Height 120 m First tanlk Pressure is zero gage Height-30 m Point ) Pump intake Pipeline connecting the two tanks Length - 400 m Diameter-0.25 m Smooth pipe 4.25 mi20 pump 0120-0.000Explanation / Answer
Given, Ha=130 -0.0002Q0.6 , L = 400m ,D=0.25 m ,Ke(minor loss coefficient ) =2 ,f (major friction coeffiecient ) = 0.01
H(total head ) = 4flV2/ 2gd + KeV2/2g + vertical distance between two reservior
= 4*0.01*400*3.682/2*9.8*0.25 + 0.01*3.682/2*9.8 + (120 -30) = 34.22 + 0.0069 + 90 = 124.22 m .
so ,Q0.6 = (130 -124.22)/0.0002
=> Q = 0.47 m3/s .
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