In the branched pipe system shown below, 850 L/min of water at 10C is flowing in

Question

In the branched pipe system shown below, 850 L/min of water at 10C is flowing in a 4-in schedule 40 pipe at A. The flow splits into two 2-in schedule 40 pipes as shown and then rejoins at B. Calculate (a) the flow rate in each of the branches and (b) the pressure difference Pa-Pb. Include the effect of minor losses in the lower branch of the system. The total length of the pipe in the lower branch is 60m. The bends are 90 mitre bends. Use Darcy-Weisbach.

Explanation / Answer

Diagram is not given. So let average speed of the blood in the main artery = x m/secVolume flow rate through the main artery = VA = x*?*0.25*100*10-6 m2 = 7.854 * x * 10-5 m3/secIn litres/minute we get, Volume flow rate = 7.854 * x * 10-5 * 103/(1/60) Litres/min = 4.7124 * x Litres/minA1V1 = 2A2V2=>D12x = 2D22v=>v = 100x/(2*25) = 100x/50 = 2x m/sec.You can substitute the value of x from the diagram to get the results.

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