Pressure Drop and Flow Rate Calculations based on the Karman Metho Inputs required Results Q flow rate L pipe length d pipe NPS ρ fluid density μ fluid viscosity ε pipe roughness 1.00 m3/h 46 m 1 in 1000 kg/m3 0.98 cP 46.2 micron 9.74 kPa 8.38 kPa Moody friction fac 0.0310 1.413 psi Difference, Ka-Moo 14.0% v flow velocity d, metres Reynolds No Flow category Flow type Karman No E = ε/d 0.548 m/s 0.0254 14,223 5 Low Turbulent z>=3 113,856 0.00182 z = 6 + log E x = log Re y = log Ka ∆ = y - x u = z - 3 v = x - 3,3 3.25981 4.15299120944 5.05635403 0.903362820556255 0.25981 0.85299120944 a b a0 a1 a2 b0 b1 b2 Value 0.18747540189 0.8392670531 0 0 0 Laminar 0 0 0 0 0 Transition z<3 0 0 0.75 -2.5 14 Transition z>=3 0 0 0.78157316033406 -2.7323952301596 14.6017722562329 Low Turbulent z<3 0.188 0.8392670531 0.742 0.0005 0.009 ow Turbulent z>=3 0.18747540189 0.8392670531 0.742 0.0005 0.009 High Turbulent 0.07261001542 0.9461563864 0.850 0.022 0.0023 ∆P friction press L pipe length d pipe NPS ρ fluid density μ fluid viscosity ε pipe roughness 10.00 kPa 46 m 1 in 1000 kg/m3 0.98 cP 46.2 micron 1.450 psi 1.01 m3/h -0.000 8.60 kPa Moody friction fac 0.0309 1.01 m3/h Difference, Ka-Moo 14.0% v flow velocity d, metres Reynolds No Flow category Flow type Karman No E = ε/d 0.556 m/s 0.0254 14,426 5 Low Turbulent z>=3 116,864 0.00182 0.556 14,426 z = 6 + log E x = log Re y = log Ka ∆ = y - x u = z - 3 v = x - 3,3 3.25981 4.15913733832 5.0676795662 0.908521064030476 0.25981 0.85913733832 4.15915850218 a b a0 a1 a2 b0 b1 b2 Value 0.18747540189 0.8392670531 0 0 0 Laminar 0 0 0 0 0 Transition z<3 0 0 0.75 -2.5 14 Transition z>=3 0 0 0.78157316033406 -2.7323952301596 14.6017722562329 Password to unprotect cells: daan pressure drop based on Ka pressure drop based on Moody based on Ka method pressure drop based on Moody
Sheet1Pressure Drop and Flow Rate Calculations based on the
Karman MethodInputs requiredResultsQ flow rateL pipe lengthd pipe
NPS fluid density fluid viscosity pipe roughnessPassword to
unprotect cells: daan1.00 m3/h46 m1 in1000 kg/m30.98 cP46.2 micronP
friction pressure drop based on Ka9.74 kPaP friction pressure drop
based on Moody8.38 kPaMoody friction factor0.03101.413
psiDifference, Ka-Moody14.0%v flow velocityd, metresReynolds NoFlow
categoryFlow typeKarman NoE = /d0.548 m/s0.025414,2235Low Turbulent
z>=3113,8560.00182z = 6 + log Ex = log Rey = log Ka = y - xu = z
- 3v = x - 3,3Pressure Drop calculation from flow
rate3.259814.15299120945.056354030.90336282060.259810.8529912094aba0a1a2b0b1b2Value0.18747540190.8392670531000Laminar00000Transition
z=3000.7815731603-2.732395230214.6017722562Low Turbulent
z=30.18747540190.83926705310.7420.00050.009High
Turbulent0.07261001540.94615638640.8500.0220.0023P friction
pressureL pipe lengthd pipe NPS fluid density fluid viscosity pipe
roughness10.00 kPa46 m1 in1000 kg/m30.98 cP46.2 micron1.450 psi0Q
flow rate based on Ka method1.01 m3/h-0.000P friction pressure drop
based on Moody8.60 kPaMoody friction factor0.03091.01
m3/hDifference, Ka-Moody14.0%v flow velocityd, metresReynolds
NoFlow categoryFlow typeKarman NoE = /d0.556 m/s0.025414,4265Low
Turbulent z>=3116,8640.001820.55614,426z = 6 + log Ex = log Rey
= log Ka = y - xu = z - 3v = x - 3,3Flow rate calculation from
pressure
drop3.259814.15913733835.06767956620.9085210640.259810.85913733834.1591585022aba0a1a2b0b1b2Value0.18747540190.8392670531000Laminar00000Transition
z=3000.7815731603-2.732395230214.6017722562Low Turbulent
z=30.18747540190.83926705310.7420.00050.009High
Turbulent0.07261001540.94615638640.8500.0220.0023
