Pipeline Toolbox
Function Reference Manual
Early Public Release DD-00011-000

3.2.33 tkachenko1 - Tkachenko-Mileikovskyi friction factor
f = tkachenko1(d,e,re)

Calculate the Tkachenko-Mileikovskyi approximation of the Colebrook-White equation valid for 2320 Re 109 and 0 ε/D 0.65.

Arguments

d

Pipe internal diameter (m).

e

Pipe effective roughness ε.

re

Reynolds number

Returns Darcy friction factor f, dimensionless.

Possible Errors

Tkachenko-1 is only valid for 2320 <= Re <= 1e9

The given Reynolds number is out of range.

Tkachenko-1 is only valid for 0 <= e/D <= 0.65

The given pipe roughness/diameter fraction is out of range.