Question

Fluid Mechanics Question

Air flows in a horizontal with an internal diameter of 20 cm at 25^oC isothermally. It enters the pipe at a pressure of 500 kPa and leaves at 300 kPa. If the mass flowrate is 10 kg/s and the φ friction faction is 0.002, calculate the length of the pipe. Express your answer in m. You can assume molecular weight of air to be 28.9 g/mol.

Answer 1

Page No. Date Solutions Criven data. internal dia meter or Pipe a = 20cm 0.2 m ente since pressure P = soo K pa leaves Pressure Pea 300 < Pa maiss flow seire m. 10 KgLS faiction factor q = 0.00 at temp 22.50c density of Gig: 1.223 we can known numbe faum Reynold's is Laminar 07 that the flow trabulent I Reynold's Numbe Rez vd sud Bren Xox D Rea svd x A el A where SVA is maiss Flow rate m Re md НА Re md 4 Id 2 4m M d π

where Air M is dynamic vis to 61+1. ef th as uc x 10-6 Pg.s Re 1 ♡ 4 x 18.6 x 10-6 X x 2,14 Re 324 24 4 22 unut which fluw is more thaonyh 4000 Pipe is Hence 442 ballent . पक

Durcy - weisbach Formula Pi - P3 89 ? น २१d chese va m SA P-P2 QL m2 9 28² A²d L c Pi-P2) es (11 II 3 9 m2 2 vo? (soo- 300 x Q x 1,985 x 3,14 x 10,oo - 0.00 х ۱ 0 x 4 ! L 6930 m Hence the 0,2 m diameter Pipe 76430 length 10 kg 15 nous which mass with flow rute is