Tutorial Modeling of monolith reactors

Energy balances
The fluid phase energy balance is:
∂T
f
φρ f CPf , + ρ fCPf , v i ∇ Tf = ∇ i ( keff, f∇Tf)
− hav( Tf−TS)
∂ t
The solid phase energy balance is:
∂ T
S
( 1 −φ) ρ C = ∇i(
k ∇ T ) + ha ( T − T ) + ( ΔH ) η( R )
S P, S eff, S S v f S R i i
∂ t i = 1
m
∑
The effective thermal conductivity for each phase depends on the
porosity and material properties.
see Hayes et al., Catalysis Today 2009
57