Momentum Balance | Skarstrom Docs

SkarstromAdsorption

Documentation Navigation

Momentum Balance

The momentum balance is described by Darcy's law.

u = -\frac{K}{\mu}\frac{\partial P}{\partial z}

The permeability is calculated using the Blake-Kozeny equation:

K = \frac{d_p^2\epsilon_b^3}{180(1-\epsilon_b)^2}

Symbol	Description	Unit
$P$	Pressure	Pa
$u$	Superficial velocity	m s⁻¹
$\mu$	Gas dynamic viscosity	Pa·s
$K$	Permeability of packed bed	m²
$z$	Axial coordinate	m
$d_p$	Particle diameter	m
$\epsilon_b$	Bed void fraction	-