Question

Economic Pipe Diameter Example Linseed oil is to be pumped from a tank to a bottling machine. The machine can fill and cap 30 two litre bottles in one minute. Determine the optimum size for the installation. Use the following parameters: C2 $0.05/(kW-hr) $0.00005/(W-hr) Cl $425/m2-2 t 7000 hr/yr F =6.75 n = 1.2 a 1/10yr b 0.01 =0.75 PVC sch 40 pipe

Answer 1

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Soutiom Given data, C2=$0.05/(wih I $70/Ft23 ay f97f 86t1/(s s0-0) F 6.75 1.2 b0.01 Pvc sheelule 40 pipe ih91711- 75%-0. Foom standard table For linseed oil =0.93(62.4) (bim/ft3 3.53x I0 11 0.93162.4013.53 X10-2)- 2.DS lbm/s Ae know, 40 f m3 Cat latb(tF)G2g 40t151005H39)(7000) l21/10+0.01)IH 6.7070) (0. Fs) /0.93l624) Dopt Dept X (32 2 0-161 Dept = 0-127f mm ber 6t the tlow i's Reynolek Re= 8VvD Mgc 4(2.05) TDMFC Re = 117 Newtonian tluid im For laminarHou circular duct f= 64 -64D =0.545D Re 17 Now, Substiheting the Dept =0-127 I6| Values = 0.127(0.545 Dopt).16 0.161 = 0.115 Dpt Solving yfelds DIPT -.161-0.115 Dopt D. 076 ft= D.91 n.

tir laminar tlow ascumption Re - 117 1540 D 0.076 64 Re 64 1540 O161 o.12710.042)6 D-076ft =0.042 Substihutng 4M TMge nlath)i+F Cat .2 xa.8)2 4(3-8) 128 513(04 (0.91x103)5(1(0-81x10D 2(47to.07)IT7)700)(o.75103) (0.04/157) l) 116 =/13x/DS Number (Ro)= TEgcT0 0046(0.81 x Ruighness (0e-01 4(3.8) Ro= 8.46x/D7 Now, Re) RD=&.46x1-7 1-13x 105 0.028 /- 02 (Re)62) )16-2 16 13X1D 5 16 [0/3 X/0S 스1.44지105 Re= 4m O.022 New 4(3.8 T144X105) (0-g9 XI0-3)) 4 m D378x1/D-2m 3·구8 Cm found to be The optimal diameter