Pressure Drop Calculations for Power Law Fluids

Notation Specification Value UnitFluid name scmc N/A

ml Mass flow rate of the fluid 1200 kg/hr 0.333333T Inlet Temperature 30 deg. CP Inlet absolute Pressure 4 Bar (a)

pro Density of the fluid 1500 kg/m3 93.6405m Consistency co-efficient for Power law fluid 1 cP 0.001n Power law fluid flow index 1 N/A m inD Inner Diameter of pipe 100 mm 0.1 3.937008H Straight length of horizontal pipe 100 mV Straight length of Vertical pipe 2 mI Straight length of inclined pipe and angle 1 m Angle 30 deg.

103

Pressure Drop Calculations for Power Law Fluids

0.52.5

Pressure Drop Calculations for Power Law Fluids

Fittings: #Elbows-90 deg. Threaded, standard r/D = 1 1 0.420128 0.420128

Threaded, Long radius r/D = 1.5 0 0.274497 0Flanged, welded, bend r/D = 1 0 0.312695 0Flanged, welded, bend r/D = 2 0 0.233728 0Flanged, welded, bend r/D = 4 0 0.255255 0Flanged, welded, bend r/D = 6 0 0.283585 0Mitered 1 weld, 90 deg. 0 0.733448 0Mitered 2 welds, 45 deg. 0 0.264974 0Mitered 3 welds, 30 deg. 0 0.192701 0

Elbows-45 deg. Threaded, standard r/D = 1 0 0.232056 0Long radius r/D = 1.5 0 0.184746 0Mitered, 1 weld 45 deg. 0 0.259291 0Mitered, 2 welds 22.5 deg. 0 0.184746 0

Elbows-180 deg. Threaded, close return bend r/D = 1 0 0.645748 0Flanged r/D = 1 0 0.404572 0All r/D = 1.5 1 0.360722 0.360722

Tees Through-branch (as elbow) #Threaded r/D = 1 1 0.671483 0.671483Threaded r/D = 1.5 0 0.420128 0Flanged r/D = 1 0 0.727079 0Stub-in branch 0 0.886924 0Run through threaded r/D = 1 0 0.227812 0Flanged r/D = 1 0 0.058493 0Stub-in branch 1 0.014147 0.014147

Valves: #Angle valve-45 deg. Full line size, beta = 1 1 0.682525 0.682525Angle valve-90 deg. Full line size, beta = 1 0 1.654302 0Globe valve Standard, beta = 1 0 3.668816 0Plug valve Branch flow 0 0.969664 0Plug valve Straight flow 0 0.223269 0Plug valve Three-way (flow through) 0 0.349392 0Gate valve Standard, beta = 1 0 0.122091 0Ball valve Standard, beta = 1 0 0.072344 0Diaphragm Dam-type 0 1.901473 0Swing check V = 35*(pro)^ -0.5 0 19948.38 0Lift check V = 40*(pro)^ -0.5 1 134563.3 134563.3

Total Delta P due to fittings, Tees and valves is 1.345655 bar 134565.5

Pressure Drop Calculations for Power Law Fluids4244.132

Dn,in^ .3 1.508516 velocity density0.028294 1500

K1 Ki Kd K1/NRe,pl 1+Kd/Dn Kf 0.028294 1500800 0.14 4 0.188496 3.651613 0.699721 0.028294 1500800 0.071 4.2 0.188496 3.784193 0.457173 0.028294 1500800 0.091 4 0.188496 3.651613 0.520792 0.028294 1500800 0.056 3.9 0.188496 3.585322 0.389274 0.028294 1500800 0.066 3.9 0.188496 3.585322 0.425127 0.028294 1500800 0.075 4.2 0.188496 3.784193 0.47231 0.028294 1500

1000 0.27 4 0.235619 3.651613 1.221555 0.028294 1500800 0.068 4.1 0.188496 3.717903 0.441313 0.028294 1500800 0.035 4.2 0.188496 3.784193 0.320942 0.028294 1500500 0.071 4.2 0.11781 3.784193 0.386487 0.028294 1500500 0.052 4 0.11781 3.651613 0.307694 0.028294 1500500 0.086 4 0.11781 3.651613 0.431848 0.028294 1500500 0.052 4 0.11781 3.651613 0.307694 0.028294 1500

1000 0.23 4 0.235619 3.651613 1.07549 0.028294 15001000 0.12 4 0.235619 3.651613 0.673813 0.028294 15001000 0.1 4 0.235619 3.651613 0.600781 0.028294 1500

500 0.274 4 0.11781 3.651613 1.118352 0.028294 1500800 0.14 4 0.188496 3.651613 0.699721 0.028294 1500800 0.28 4 0.188496 3.651613 1.210947 0.028294 1500

1000 0.34 4 0.235619 3.651613 1.477168 0.028294 1500200 0.091 4 0.047124 3.651613 0.379421 0.028294 1500150 0.017 4 0.035343 3.651613 0.09742 0.028294 1500100 0 0 0.023562 1 0.023562 0.028294 1500

950 0.25 4 0.223838 3.651613 1.136742 0.028294 15001000 0.69 4 0.235619 3.651613 2.755232 0.028294 15001500 1.7 3.6 0.353429 3.386452 6.110397 0.028294 1500

500 0.41 4 0.11781 3.651613 1.614971 0.028294 1500300 0.084 3.9 0.070686 3.585322 0.371853 0.028294 1500300 0.14 4 0.070686 3.651613 0.581912 0.028294 1500300 0.037 3.9 0.070686 3.585322 0.203343 0.028294 1500300 0.015 3.5 0.070686 3.320161 0.120488 0.028294 1500

1000 0.69 4.9 0.235619 4.248226 3.166895 0.028294 15001500 0.46 4 0.353429 3.651613 2.033171 3.616897 15002000 2.85 3.8 0.471239 3.519032 10.50048 4.133597 1500

NRe,pl

Delta P0.4201280.2744970.3126950.2337280.2552550.2835850.7334480.2649740.1927010.2320560.1847460.2592910.1847460.6457480.4045720.360722

0.6714830.4201280.7270790.8869240.2278120.0584930.014147

0.6825251.6543023.6688160.9696640.2232690.3493920.1220910.0723441.90147319948.38134563.3

Pressure Drop Calculations for Power Law Fluids

Sr. No. Equipment Name Pressure drop Unit1 Rotameter 0.1 bar2 Heat Exchanger 0.01 bar3 Exchanger- E101 0 bar4 12 0 bar5 13 0 bar6 14 0 bar7 15 0 bar

0.11

Pressure Drop Calculations for Power Law Fluids

Pressure Drop Calculations for Power Law Fluidsm n

0.001 1Notation Quantity Value Unit

Q Volumetric flow rate of the fluid 0.000222 m3/secV Velocity of the fluid 0.028294 m/sec

Power law Reynold's number 4244.132 N/A 5.333333 0.001257 0.000314Critical Reynold's number 2100 N/A

Since Reynold's no. 4244.132 Therefore the flow is TURBULENTFor TURBULENT region ,

f Friction factor 0.016799 N/APressure drop in straight Pipe length 41.55702 N/m2

0.000416 barPressure drop due to Pipe Fittings 134565.5 N/m2 1.345655 bar

Pressure drop due to Inline Accessories 0.11 bar Delta P Total Pressure drop in the system 12.39514 mlc 1.45607 bar

4244.132

Laminar Transition TurbulentFriction factor = 0.00377 N/A Friction factor = 1.68E-02 N/A Friction factor =

1.79E-04 0.068217706.83 1.171 7.105483 0.234742

0.0053 -5.24

NRe,pl

Delta Pflow

Delta Pacc.

NRe,pl =

Pressure Drop Calculations for Power Law Fluids

4

0.009598 N/A

4.26

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Power law-flow Page 16

Pressure drop calculation of Power law fluids: Results

Input Data

Name of the fluid scmc N/AInlet Temperature 30 Deg. C.Inlet Pressure 4 Bar (A)Flow rate 1200 Kg/HrFluid density 1500 Kg/m^3Fluid Viscosity 1 CpPipe ID 100 mmStraight pipe length 103 mm

Fittings Used:Elbows 90 deg. TeesThreaded, standard, r/D = 1 1 Through-branch (as elbow)Threaded, Long radius, r/D = 1.5 0 Threaded, r/D = 1 1Flanged, welded, bend, r/D = 1 0 Threaded, r/D = 1.5 0Flanged, welded, bend, r/D = 2 0 Flanged, r/D = 1 0Flanged, welded, bend, r/D = 4 0 Stub-in branch 0Flanged, welded, bend, r/D = 6 0 Run through threaded, r/D = 1 0Mitered, 1 weld, 90 deg. 0 Flanged, r/D = 1 0Mitered, 2 welds, 45 deg. 0 Stub-in branch 1Mitered, 3 welds, 30 deg. 0 Valves

Angle valve-45 deg. 1Elbows 45 deg. Angle valve-90 deg. 0Threaded, standard, r/D = 1 0 Globe valve 0Long radius, r/D = 1.5 0 Plug valve, Branch flow 0Mitered, 1 weld, 45 deg. 0 Plug valve, Straight through 0Mitered, 2 welds, 22.5 deg. 0 Plug valve, three way 0

Gate valve 0Elbows 180 deg. Ball valve 0Threaded, close return bend, r/D = 1 0 Diaphragm 0Flanged, r/D = 1 0 Swing check 0All, r/D = 1.5 1 Lift check 1

Pressure drop due to fittings 1.34565 bar9.1447822 mlc

Inline Acessories:1 Rotameter 0.1 bar2 Heat Exchanger 0.01 bar3 Exchanger- E101 0 bar4 12 0 bar5 13 0 bar6 14 0 bar7 15 0 bar

Additional pressure drop due to Inline Equipm 0.11 bar0.74754 mlc

Results:Flow Regime TURBULENT

Power Law Reynolds Number 4244.13Critical Reynolds Number 2100

Pressure Drop 12.40 MLC1.46 Bar