Kozeny-Carman equation

The Kozeny–Carman equation is a relation used in the field of fluid dynamics to calculate the pressure drop of a fluid flowing through a packed bed of solids. It is named after Josef Kozeny and Philip C. Carman. The equation is only valid for laminar flow.

Equation

The equation is given asCitation
last1 = McCabe | first1 = Warren L.
last2 = Smith | first2 = Julian C.
last3 = Harriot | first3 = Peter
title = Unit Operations of Chemical Engineering
place = New York
publisher = McGraw-Hill
year = 2005
location =
pages = 163-165
volume =
edition = seventh
url =
doi =
id =
isbn = 0-07-284823-5] :

:
where $Delta\; p$ is the pressure drop, $L$ is the total height of the bed, is the superficial or "empty-tower" velocity, $mu$ is the viscosity of the fluid, $epsilon$ is the porosity of the bed, $Phi\_mathrm\{s\}$ is the sphericity of the particles in the packed bed, and $D\_mathrm\{p\}$ is the diameter of the related spherical particleCitation
last1 = McCabe | first1 = Warren L.
last2 = Smith | first2 = Julian C.
last3 = Harriot | first3 = Peter
title = Unit Operations of Chemical Engineering
place = New York
publisher = McGraw-Hill
year = 2005
location =
pages = 188-189
volume =
edition = seventh
url =
doi =
id =
isbn = 0-07-284823-5] .

This equation holds for flow through packed beds with particle Reynolds numbers up to approximately 1.0, after which point frequent shifting of flow channels in the bed causes considerable kinetic energy losses.

This equation can be expressed as "flow is proportional to the pressure drop and inversely proportional to the fluid viscosity", which is known as Darcy's law.

References

ee also

*Fractionating column
*Raschig ring