checalc.com guide linesize.html
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Step by Step procedure to do Line sizing and pressure drop calculation for single phase of fluid flowing through a pipe.
Criterion for Line size selection is generally pressure drop expressed as ?P per 100 feet or meters of pipe. In certainservices, velocity is used as governing principle.
Step 1
Calculate Fluid Velocity
Estimate an initial pipe diameter (D) and calculate Velocity (V) of fluid flowing through pipe using following equation :
V = M / (? * (?D/4) )
where,
M, Fluid mass flowrate
?, Density of fluid flowing through pipe
Step 2
Determine Reynold's Number
Reynold's number (Re) is calculated using following equation :
Re = D * V * ? / ?
where,
?, Viscosity of fluid flowing through pipe
Step 3
Determine Friction Factor
For Reynold's Number
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Step 4
Calculate Pressure Drop
Pressure Drop (?P) is calculated based on Darcy-Weisbach equation :
where,
L, Pipe Length
Step 5
Check Pressure Drop
Check whether pressure drop is within allowable limits, if it is higher than the allowable pressure drop increase the pipediameter and repeat from step 1.
References1. Darcy friction factor formulae at Wikipedia2. Darcy Weisbach equation at Wikipedia
Visit
Calculation Spreadsheet
Pipe internal diameter for 6" Sch40 pipe is 154.051 mm.
Calculate Fluid Velocity
V = 1.753 m/s
Determine Reynold's Number
Re = 22,958
Determine Friction Factor
Flow regime is Turbulent, Re > 4000. Solving Colebrook-White equation iteratively, after 6 iterations f value does notchange
Fuel Oil having density 850 Kg/m and viscosity of 10 cP is being pumped through a 1 Km long 6", Sch 40 pipe atthe rate of 100,000 Kg/h. What is the pressure loss through pipe ? Pipe roughness is 0.045 mm.
Example
Page 2 of 3Line Sizing Single Phase
7/27/2014http://checalc.com/guide/linesize.html
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f = 0.0257
Calculate Pressure Drop
Using Darcy-Weisbach equation, pressure drop is
?P = 2.18 bar
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7/27/2014http://checalc.com/guide/linesize.html
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