The Following Are The Data For The Pipe and Fittings
The Following Are The Data For The Pipe and Fittings
The Following Are The Data For The Pipe and Fittings
of the piping arrangements shown in figure. The liquid flows at the rate of 23100 lb/hr through 3 inch Schedule 40 steel pipe; the length of the straight pipe is 450 feet. Calculate the minimum horsepower input to the pump having an efficiency of 60 percent. The properties of the distillate are: viscosity = 3.4 cP, density = 52 lb/ft3. The following are the data for the pipe and fittings: For 3 inch Schedule 40 Nominal pipe, OD = 3.5 inch; Thickness = 0.216 inch Flow coefficients for the fittings (K) are: Gate valve = 0.25; 90o elbow = 0.9; Check valve = 10 Friction factor can be calculated from Blasius equation. Account for entry and exit losses also.
Problem taken from: Momentum, Heat & Mass Transfer by Bennet & Meyers; McGraw Hill Solved by M.Subramanian; Lecturer, Department of Chemical Engineering, Sri Venkateswara College of Engineering, Sriperumbudur - 602105, India. E-mail: msubbu@svce.ac.in Web: http://www.svce.ac.in/~msubbu Done on: 14-Feb-2001
Conversion Factors 1 feet 1 lb 1 inch 1 centipoise 1 atm 1 atm g Data given: Mass flow rate Density Viscosity Pipe OD Pipe thickness Pipe length Vertical height Pump efficiency (in fraction) Loss coefficient of Gate Valve Loss coefficient of elbow Loss coefficient of check valve Valve r m 23100 52 3.4 3.5 0.216 450 70 0.6 0.25 0.9 10 lb/hr 3 lb/ft cP inch inch feet feet = = = 0.3048 0.454 0.0254 0.001 14.7 1.01E+05 9.812 m kg m kg/m.sec psi N/m2 2 m/sec Converted data: 2.913167 kg/sec 3 833.7087 kg/m 0.0034 kg/m.sec
L z1-z2
= =
137.16 m 21.336 m
D P2
= =
Volumetric flow rate Q Velocity v Reynolds Number NRe Friction factor f hf of pipe v /2g hf of Gate valve hf of 2 number of elbows hf of Check valve hf of sudden contraction at inlet hf of sudden expansion at outlet Total frictional head Pump head Minimum power for the pump
2
1.3985 m 0.02735 m 0.00684 m 0.04923 m 0.27351 m 0.01094 m 0.02735 m 1.76642 m 22.561 m 1074.81 Watt