dP Pressure Drop

Formulae

Here's some background data on the formulae being used by pressure drop. Since the flow can have two states it requires to have two sets of formulas.

  • Laminar Flow (Reynolds < 2320)
  • Turbulent Flow (Reynolds >= 2320)
  • There is also a page which contains tables with Equivalent lengths and Surface roughness values

Laminar Flow (Reynolds < 2320)

Name Symbol Formula Unit
specific gravity g 9.81 m/s
pipe length L - m
inner diameter Di - mm
pipe area A 0.25 x Di mm
average velocity v flow/A m/s
Reynolds Re -
eq.length Leq m
friction factor F 64/Re -
relative roughness surface k/Di n.a. -
friction of pipe Kw(pipe) F x L / Di -
friction appendages Kw (app) F x Leq / Di -
pipe volume V A x L liter
residence time / transportation lag t L / v sec
power loss in fluid P
pressure drop in pipe bar

Turbulent Flow (Reynolds >= 2320)

Name Symbol Formula Unit
specific gravity g 9.81 m/s
pipe length L - m
inner diameter Di - mm
pipe area A 0.25 x Di mm
average velocity v flow/A m/s
Reynolds Re -
eq.length Leq m
friction factor (iterative algorithm of Colebrook-White) -
relative roughness surface k/Di n.a. -
friction of pipe Kw(pipe) F x L / Di -
friction appendages Kw (app) F x Leq / Di -
pipe volume V A x L liter
residence time / transportation lag t L / v sec
power loss in fluid P
pressure drop in pipe bar

 

Go with the Flow

dP will automatically switch from Laminar Flow Mode to Turbulent Flow Mode depending on the Reynolds value