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Kozeny–Carman equation : ウィキペディア英語版
Kozeny–Carman equation
The Kozeny–Carman equation (or Carman-Kozeny 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. The equation was derived by Kozeny and Carman (see 〔
〕) from a starting point of (a) modelling fluid flow in a packed bed as laminar fluid flow in a collection of curving passages/tubes crossing the packed bed and (b) Poiseuille's law describing laminar fluid flow in straight, circular section pipes.
==Equation==
The equation is given as:〔

:\frac = \frac^2}\fracv_s
where:
*\Delta p is the pressure drop;
*L is the total height of the bed;
*v_s is the superficial or "empty-tower" velocity;
*\mu is the viscosity of the fluid;
*\epsilon is the porosity of the bed;
*\Phi_\mathrm is the sphericity of the particles in the packed bed;
*D_\mathrm is the diameter of the related spherical particle.〔

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.〔

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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