Question

PA = Pamb + y(30 m) - 2 3.(20 pts) Chapter 8 Viscous Flow in Pipes A pipe system carries water from a reservoir and discharges it as a free jet, as shown. The system consists of piping made from 200-mm diameter commercial steel pipe with two 90 deg elbows with Kz=0.4m and an inlet minor loss K = 0.05 1) (4 pts) Assuming ideal fluid model within the reservoir, show that pressure at point A is va and draw on the diagram the streamline you used. 2) (8 pts) Lay out the energy equation with loss terms from point A to point B and reduce it to a function format of friction factor fand exit velocity Ve, i.e. F, V%) = C. 3) (6 pts) Iteration: By guessing a Ve to start your calculation of Reynolds number and /, use the energy equation above to update V Continue the process until V, converges. Show the final velocity V, and Reynolds number, Re = ? 4) (2 pts) Calculate the flow rate Q in m'/s. 60 m Reserve 30 m -0.05 200 mm Steel con Dipe throughout 2 90lbows K=0.40 60 m - 0113 X 10 m/s 999 kg/m2

Answer 1

in this question we have to find the discharge through pipe

Given - 0,2m Pipe diametey D = 200mm = for water V= 0.0113x169 mis P= 999 leg/m3., two goº elbow -ke=0.41 inlet minar loss K2 = 0.05 Assuming 60 ol Palm T q 3om Zom (1) ddech juwid model with in reservoir and apply Bernoull's equation at point ③ and ④ In pressure farm P we know preescue at 0 60m PA+PVA 2 P = Pam+ yh Palm +(30 = PA + PAS Patm + /30 - PVA = Patm+ Y30 2 2 Now again apply Bernoullis equation between point A and B 2 2 PA Pe + FA- VA ag + + + 2B +ht ag Paton +30 VA + V 29 og +0= Paton r + VB 3 +20 + fLVB? ZKL VE 78 2Dg a feet 30-20 fx120 22X0.249.81 + 0.05+2x0.4 2*3.81 4 ) 2 VB 2 10 = (30.5810f +0.043323) vă Jo VB- 30.5810f + 0.043323 To calculate f we have to allume VB to put into friction fouers is given by fa E 5.74 1.325 Re = PVD a VBD M v for comm. steel pipe E=0.ous mm 2 :)] R99 -2 for 5000 < Rez 108 (turbulent flow) and 106 zlo

Now f and then coormes norrespoinding va Now using all there formulo we get after performing Heralration fenation on excel we get f VB (initial) Re 1 176991.2 0.01757304 4.15 VB: 4.43 m/s 4.15 734457.4 0.015303 601 4.42 4.42 782715.9 0.015242502 4.43 f -0.01524 4.43 784149.9 0.015240785 4.43 4.43 784190.3 0.015240736 4.43 Re = 784191.5 4.43 784191.4 4.43 784191.5 0.015240735 4.43 0.015240735 4.43 4.43 784191.5 0.015240735 4.43 0.015240735 4.43 4.43 784191.5 VBA Ver 14) flow note is givenas Q = TD2 = 4.484 Đxco.3g? 2= 0.139172 m3/s