ConvectionV

Chemical Reactor Design Toolbox Reference Manual

ChemReactorDesign.Basic.Liquid.Transport.ConvectionV

ConvectionV.svg

Description

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

\begin{equation*}
q_{0} =\frac{\Delta V(T)}{\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(c_{i}\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

  • Liquid conserving port

    Port_A = Liquid;  %
    
  • Liquid conserving port

    Port_B = Liquid;  %
    

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 flow output

    flowOutput = OnOff.Off; 
    

    On | Off

  • Option to select control input

    controlInput = OnOff.Off;
    

    Off | On

Mass Transport

  • Volumetric flow rate

    q0 = {0,'cm^3/min'};
    

Nomenclature

\(c_{i}\) concentration of species Ai
\(F_{i}\) molar flow rate of species Ai
\({\overline H}_{i}(T)\) molar enthalpy of species Ai
\(\Delta H_{res}\) departure enthalpy of the mixture
\(N\) total number of species
\(q\) volumetric flow rate
\(t\) time
\(T\) temperature
\(x_{i}\) mole fraction of species Ai
\(\beta\) control signal
\(\Phi\) energy flow rate