ConvectionT

Chemical Reactor Design Toolbox Reference Manual

ChemReactorDesign.Basic.Interface.Transport.ConvectionT

Description

The component generates molar fluxes for all $N$ species due to forced convection induced by an external wall shear. The velocity of the the moving interface is given by

$\begin{equation*} u = u_{0} \, \exp\left\{-\alpha \, \sum_{i}^{N} \Theta_{i} \right\} \end{equation*}$

Note: The molar fluxes are based on the interface width. Thus, the molar flow rates become

$\begin{equation*} F_{i} = w \, u \, \left(\gamma_{i}\right)_{upstream} \end{equation*}$

The positive flow direction is from port A to port B.

Ports

Conserving

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

Input

Physical signal that represents the interface velocity
```
u0 = {0,'m/s'};
```
Note: Generally, the flow direction is from Port A to Port B. Thus it follows: $u_{0} \stackrel{!}{\geq} 0$ .
Physical signal that represents the interface width
```
wIn = {0,'m'};
```
Dependencies: The port is only visible when wInputOutput is set to Input.

Output

Physical signal that represents the interface width
```
wOut = {0,'m'};
```
Dependencies: The port is only visible when wInputOutput is set to Output.

Parameters

Options

Option to select interface width input/output
```
wInputOutput = InOut.Off;
```
Input | =Output | Off

Mass Transport

Impact parameter
```
alpha = {1,'1'};
```
Interface width
```
w0 = {1,'m'}; 
```
Dependencies: The port is only visible when wInputOutput is set to Off.

Nomenclature

$F_{i}$	molar flow rate of species A_i
$N$	total number of species
$u$	interface velocity
$w$	interface width
$\alpha$	impact parameter
$\gamma_{i}$	surface concentration of species A_i
$\Theta_i$	surface converage of species A_i