Tutorial Modeling of monolith reactors

Modelling the fluid domain
Velocity and pressure are obtained from the Navier-Stokes equation
and the equation of continuity:
⎡
( ) (
T
( ) )
⎛2η
⎞ ⎤
ρ vi∇ v = ∇i⎢− pI + η ∇ v + ∇v − ⎜ −κ ( ∇ v)
I
3
⎟ i ⎥
⎣
⎝ ⎠ ⎦
( v) 0
∇i
ρ =
The density depends on temperature.
The mass balance (assuming Fick’s law) is:
( D w ) v ( w ) 0
∇⋅ ρ ∇ − ρ⋅∇ =
A A A
The energy balance is:
( k T) ( C ) vi
T 0
∇i
∇ − ρ ∇ =
f p f
Species conservation should be
expressed in terms of the mass
fraction because mass is conserved.
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