ConvectionV

Chemical Reactor Design Toolbox Reference Manual

ChemReactorDesign.Basic.Gas.Transport.ConvectionV

Description

The component generates a volumetric flow rate similar to a displacement conveying device

$\begin{equation*} q_{0} = \frac{\Delta V(T,p)}{\Delta t} \end{equation*}$

with $\Delta t$ as the cycle time and $\Delta V$ as the displacement volume. Then the molar flow rates become

$\begin{equation*} F_{i} = y \, q_{0} \, \left(\frac{x_{i} \, p}{z \, R \ T} \right)_{upstream} \end{equation*}$

with $y_{min} \leq y \leq 1$ as control signal to externally adjust the given volumetric flow rate.

The energy flow rate is determined as

$\begin{equation*} \Phi = \sum_{i}^{N} F_{i} \, \left({\overline H}_{i}(T)\right)_{upstream} + F_{tot} \, \Big(H_{res}(T,p)\Big)_{upstream} \end{equation*}$

with

$\begin{equation*} F_{tot} = \sum_{i}^{N} F_{i} \end{equation*}$

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

Ports

Conserving

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

Input

Physical control signal
```
yin = {0,'1'}; 
```
Dependencies: The port is only visible when controlInput is set to On.

Output

Physical signal that represents the volumetric flow rate at upstream conditions
```
qout = {1,'l/s'};
```
Dependencies: The port is only visible when flowOutput is set to On.

Parameters

Options

Option to select control input
```
controlInput = OnOff.Off;
```
Off | On
Option to select flow output
```
flowOutput = OnOff.Off; 
```
On | Off

Mass Transport

Volumetric flow rate
```
q0 = {0,'cm^3/min'};
```

Nomenclature

$F_{i}$	molar flow rate of species A_i
${\overline H}_{i}(T)$	molar enthalpy of species A_i
$\Delta H_{res}$	departure enthalpy of the mixture
$N$	total number of species
$p$	pressure
$q$	volumetric flow rate
$R$	universal gas constant
$t$	time
$T$	temperature
$x_{i}$	mole fraction of species A_i
$z$	compressibility
$\beta$	control signal
$\Phi$	energy flow rate