Question

(a) A horizontal pipe of diameter 10 cm carries crude oil from A to C as shown in Figure 4. At a point B, midway between A and C, oil leaks at a volume flow rate of QL . The pressure drop per unit length along AB is 640 Pa/m and along BC is 600 Pa/m. Determine the leakage flow rate QL . The density of oil is 800 kg/m3 and its dynamic viscosity is 0.1 N.s/ m2 . You may assume that the flow is laminar.

3 (a) A horizontal pipe of diameter 10 cm carries crude oil from A to C as shown in Figure 4. At a point B, midway between A

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Answer #1

Solution : a foit = 800 kg/m3 . M20. 1NS/m2 > P = 600 Pa I P = Pressure drop at inter a P2 hessie doop at outler ? P1 = 640 PPike 1 bi Firstly, We know that: Flow in = Flow out D-0. v =2 m/s = 2 m/s O2 Pipe 2 - + O2 = where Q = Volume flow rate in piLet length of pripe L₂ = 120m = 4. So, equation (1) becomes - 20.39 V, 2 = 10+ 15.288 V 2 TY4(0.08) 0:00SD 2- » Vy - 198.92 8Summary: Both problem is solved using Darcy- Weisbach equation.The length of pipe in question-3b will be 120m.

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