Coupler

Chemical Reactor Design Toolbox Reference Manual

ChemReactorDesign.Basic.Interface.Transfer.Coupler

Description

The component calculates the molar flow rates for all species according to

$\begin{equation*} F_{i} = A_{0} \, \sum_{j}^{M} \nu_{ij} \, r_{j} \qquad \text{for} \qquad i=1,\cdots,N \end{equation*}$

for $M$ independent mass transfer processes. The exchange rates $\underset{[M,1]}{\bf r} \, \left[mol/(m^{2} \, s)\right]$ are provided by physical signals attached to the respective input port. Thus, it is possible to model mass transfer processes between phases belonging to the same interface domain.

Since for every mass transfer process under consideration only one species per domain is involved, only one respective stoichiometric coefficient for the $j^{th}$ exchange rate is different from zero. Using this criterion the relevant data are extracted for calculating the number of sites involved.

Ports

Conserving

Interface conserving port
```
Port_B = Interface;  %
```

Input

Physical signal that represents the area
```
A = {0,'l'}; % A
```
Dependencies: The port is only visible when rateReference is set to Area.
Physical signal that represents the exchange rate
```
r = {zeros(M,1),'mol/(cm^2*s)'};
```

Outputs

Physical signal that represents the surface coverages of all species
```
Theta_out = {zeros(M,1),'1'};
```
Physical signal that represents the surface coverage of free sites
```
Theta0_out = {1,'1'};
```
Physical signal that represents the number of active sites involved in the transfer processes
```
  n_out = {ones(M,1),'1'}; % n
end
```

Parameters

Options

Option to select area input
```
areaInput = OnOff.Off;
```
On | Off

Geometry

Area
```
A0 = {0,'m^2'}; 
```
The parameter is only visible when the option areaInput is set

Stoichiometry

Number of transfer rates
```
M = {1,'1'}; 
```
Stoichiometric Coefficients
```
nu = {[-1 0],'1'};
```
Note Initially only two species are considered. As the number of species can be changed via the properties dialogue, the size of the array must be adjusted accordingly.

Nomenclature

$A$	area
$F_{i}$	molar flow rate of species A_i
$N$	total number of species
$r$	reaction rate