Tutorial Modeling of monolith reactors
Tutorial Modeling of monolith reactors
Tutorial Modeling of monolith reactors
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Momentum balance equation<br />
Velocity and pressure are obtained from the Volume Averaged Navier-<br />
Stokes equation and the equation <strong>of</strong> continuity:<br />
⎡<br />
( ) (<br />
T<br />
( ) )<br />
⎛2η<br />
⎞ ⎤<br />
ρ vi∇ v = ∇i⎢− pI + η ∇ v + ∇v − ⎜ −κ⎟( ∇ iv)<br />
I + S i<br />
3<br />
⎥<br />
⎣<br />
⎝ ⎠ ⎦<br />
( v) 0<br />
∇i<br />
ρ =<br />
The velocity is the superficial velocity.<br />
The source term S accounts for the porous inertia.<br />
The Brinkman<br />
equation is a classical<br />
version <strong>of</strong> the VANS<br />
⎛ μ 1<br />
S i = − ⎜ v i + C2<br />
ρ<br />
2<br />
f v<br />
⎝ K<br />
v i<br />
⎞<br />
⎟<br />
⎠<br />
K is the permeability.<br />
For laminar flow, the second term is zero.<br />
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