Tutorial Modeling of monolith reactors

1D SCM energy balances
The fluid phase energy balance is:
d ⎛ dTf
dTf
4
⎜k ⎞ I ⎟ − vm ( ρ Cp
) + h
f
( TS − Tf
) =
dz⎝
dz ⎠
d z D
0
The fluid thermal conductivity is an effective value that accounts for laminar flow.
The solid phase energy balance is:
∂ ⎛
⎛ ⎞
⎜k ⎟ h T T H R C
∂z⎝ ∂z ⎠
⎜ ⎟
⎝ ⎠
∂t
2 2
∂TS ⎞ 4 D
DWC − D ∂TS
S − ( ) ( ) ( A ) ( )
2 2 S − f − η Δ R ⎜
2 2
⎟ − = ρ
S P S
( DS
− D )
DS
− D
The solid thermal conductivity is an average value for washcoat and substrate.
41