source: branches/gui/eml/stage_separators/condenser.mso @ 821

#*-------------------------------------------------------------------
* EMSO Model Library (EML) Copyright (C) 2004 - 2007 ALSOC.
*
* This LIBRARY is free software; you can distribute it and/or modify
* it under the therms of the ALSOC FREE LICENSE as available at
* http://www.enq.ufrgs.br/alsoc.
*
* EMSO Copyright (C) 2004 - 2007 ALSOC, original code
* from http://www.rps.eng.br Copyright (C) 2002-2004.
* All rights reserved.
*
* EMSO is distributed under the therms of the ALSOC LICENSE as
* available at http://www.enq.ufrgs.br/alsoc.
*
*----------------------------------------------------------------------
* Author: Paula B. Staudt
* $Id: condenser.mso 555 2008-07-18 19:01:13Z rafael $
*--------------------------------------------------------------------*#

using "streams";

Model condenserSteady

ATTRIBUTES
        Pallete         = true;
        Icon            = "icon/CondenserSteady"; 
        Brief           = "Model of a  Steady State condenser with no thermodynamics equilibrium.";
        Info            =
"== ASSUMPTIONS ==
* perfect mixing of both phases;
* no thermodynamics equilibrium.

== SET ==
* the pressure drop in the condenser;

== SPECIFY ==
* the InletVapour stream;
* the InletQ (the model requires an energy stream, also you can use a controller for setting the heat duty using the heat_flow model).

== OPTIONAL ==
* the condenser model has two control ports
** TI OutletLiquid Temperature Indicator;
** PI OutletLiquid Pressure Indicator;
";

PARAMETERS
        outer PP        as Plugin       (Brief = "External Physical Properties", Type="PP");
        outer NComp as Integer  (Brief = "Number of Components");
        
        Mw(NComp)       as molweight    (Brief = "Component Mol Weight",Hidden=true);
        low_flow        as flow_mol     (Brief = "Low Flow",Default = 1E-6, Hidden=true);
        zero_flow       as flow_mol     (Brief = "No Flow",Default = 0, Hidden=true);
        KfConst         as area                 (Brief="Constant for K factor pressure drop", Default = 1, Hidden=true);
        
        VapourFlow      as Switcher     (Brief="Vapour Flow", Valid = ["on", "off"], Default = "on",Hidden=true);

        Kfactor as positive (Brief="K factor for pressure drop", Lower = 1E-8, Default = 1E-3);
        Pdrop   as press_delta  (Brief="Pressure Drop in the condenser",Default=0, Symbol="\Delta _P");

SET

        Mw   = PP.MolecularWeight();
        low_flow = 1E-6 * 'kmol/h';
        zero_flow = 0 * 'kmol/h';
        KfConst = 1*'m^2';

VARIABLES
        in      InletVapour     as stream                       (Brief="Vapour inlet stream", PosX=0.16, PosY=0, Symbol="_{in}^{Vapour}");
        out     OutletLiquid    as liquid_stream        (Brief="Liquid outlet stream", PosX=0.53, PosY=1, Symbol="_{out}^{Liquid}");
        in      InletQ                  as power                        (Brief="Heat Duty", PosX=1, PosY=0.08, Symbol="Q_{in}",Protected=true);
        
        rho     as dens_mass    (Brief ="Inlet Vapour Mass Density",Hidden=true, Symbol ="\rho");
        
        out     TI as control_signal    (Brief="Temperature  Indicator of Condenser", Protected = true, PosX=0.50, PosY=0);
        out     PI as control_signal    (Brief="Pressure  Indicator of Condenser", Protected = true, PosX=0.32, PosY=0);
        
EQUATIONS

switch VapourFlow

case "on":
        InletVapour.F*sum(Mw*InletVapour.z) = Kfactor *sqrt(Pdrop*rho)*KfConst;

        when InletVapour.F < low_flow switchto "off";

case "off":
        InletVapour.F = zero_flow;

        when InletVapour.P > OutletLiquid.P switchto "on";

end

"Molar Flow Balance"
        InletVapour.F = OutletLiquid.F;

"Molar Composition Balance"
        InletVapour.z = OutletLiquid.z;

"Energy Balance"
        InletVapour.F*InletVapour.h = OutletLiquid.F*OutletLiquid.h + InletQ;

"Inlet Vapour Density"
        rho = PP.VapourDensity(InletVapour.T, InletVapour.P, InletVapour.z);

"Pressure Drop"
        OutletLiquid.P = InletVapour.P - Pdrop;

"Temperature indicator"
        TI * 'K' = OutletLiquid.T;

"Pressure indicator"
        PI * 'atm' = OutletLiquid.P;

end

Model condenserReact
        ATTRIBUTES
        Pallete         = false;
        Icon            = "icon/Condenser"; 
        Brief           = "Model of a Condenser with reaction in liquid phase.";
        Info            =
"== Assumptions ==
* perfect mixing of both phases;
* thermodynamics equilibrium;
* the reaction only takes place in liquid phase.
        
== Specify ==
* the reaction related variables;
* the inlet stream;
* the outlet flows: OutletVapour.F and OutletLiquid.F;
* the heat supply.

== Initial Conditions ==
* the condenser temperature (OutletLiquid.T);
* the condenser liquid level (Level);
* (NoComps - 1) OutletLiquid (OR OutletVapour) compositions.
";
        
PARAMETERS
        outer PP        as Plugin(Type="PP");
        outer NComp as Integer;
        
        V               as volume (Brief="Condenser total volume");
        Across  as area         (Brief="Cross Section Area of reboiler");

        stoic(NComp)    as Real                 (Brief="Stoichiometric matrix");
        Hr                              as energy_mol;
        Initial_Level                           as length                       (Brief="Initial Level of liquid phase");
        Initial_Temperature                     as temperature          (Brief="Initial Temperature of Condenser");
        Initial_Composition(NComp)      as fraction             (Brief="Initial Liquid Composition");
        
VARIABLES

in      InletVapour             as stream                       (Brief="Vapour inlet stream", PosX=0.1164, PosY=0, Symbol="_{inV}");
out     OutletLiquid    as liquid_stream        (Brief="Liquid outlet stream", PosX=0.4513, PosY=1, Symbol="_{outL}");
out     OutletVapour    as vapour_stream        (Brief="Vapour outlet stream", PosX=0.4723, PosY=0, Symbol="_{outV}");
        InletQ          as power                        (Brief="Cold supplied", PosX=1, PosY=0.6311, Symbol="_{in}");

        M(NComp)        as mol                  (Brief="Molar Holdup in the tray");
        ML                      as mol                  (Brief="Molar liquid holdup");
        MV                      as mol                  (Brief="Molar vapour holdup");
        E                       as energy               (Brief="Total Energy Holdup on tray");
        vL                      as volume_mol   (Brief="Liquid Molar Volume");
        vV                      as volume_mol   (Brief="Vapour Molar volume");
        Level           as length               (Brief="Level of liquid phase");
        Vol             as volume;
        r3                      as reaction_mol (Brief="Reaction Rates", DisplayUnit = 'mol/l/s');
        C(NComp)        as conc_mol     (Brief="Molar concentration", Lower = -1);

INITIAL

        Level                                   = Initial_Level;
        OutletLiquid.T                          = Initial_Temperature;
        OutletLiquid.z(1:NComp-1)       = Initial_Composition(1:NComp-1)/sum(Initial_Composition);

EQUATIONS
"Molar Concentration"
        OutletLiquid.z = vL * C;
        
"Reaction"
        r3 = exp(-7150*'K'/OutletLiquid.T)*(4.85e4*C(1)*C(2) - 1.23e4*C(3)*C(4)) * 'l/mol/s';
        
"Component Molar Balance"
        diff(M) = InletVapour.F*InletVapour.z - OutletLiquid.F*OutletLiquid.z - OutletVapour.F*OutletVapour.z + stoic*r3*ML*vL;

"Energy Balance"
        diff(E) = InletVapour.F*InletVapour.h - OutletLiquid.F*OutletLiquid.h- OutletVapour.F*OutletVapour.h + InletQ + Hr * r3 * ML*vL;

"Molar Holdup"
        M = ML*OutletLiquid.z + MV*OutletVapour.z; 
        
"Energy Holdup"
        E = ML*OutletLiquid.h + MV*OutletVapour.h - OutletVapour.P*V;
        
"Mol fraction normalisation"
        sum(OutletLiquid.z)=1.0;

"Liquid Volume"
        vL = PP.LiquidVolume(OutletLiquid.T, OutletLiquid.P, OutletLiquid.z);

"Vapour Volume"
        vV = PP.VapourVolume(OutletVapour.T, OutletVapour.P, OutletVapour.z);

"Thermal Equilibrium"
        OutletLiquid.T = OutletVapour.T;

"Mechanical Equilibrium"
        OutletVapour.P = OutletLiquid.P;

"Geometry Constraint"
        V = ML*vL + MV*vV;

        Vol = ML*vL;
        
"Level of liquid phase"
        Level = ML*vL/Across;
        
"Chemical Equilibrium"
        PP.LiquidFugacityCoefficient(OutletLiquid.T, OutletLiquid.P, OutletLiquid.z)*OutletLiquid.z = 
        PP.VapourFugacityCoefficient(OutletVapour.T, OutletVapour.P, OutletVapour.z)*OutletVapour.z;

        sum(OutletLiquid.z)=sum(OutletVapour.z);

end

Model condenser

ATTRIBUTES
        Pallete         = true;
        Icon            = "icon/Condenser"; 
        Brief           = "Model of a  dynamic condenser with control.";
        Info            =
"== ASSUMPTIONS ==
* perfect mixing of both phases;
* thermodynamics equilibrium.
        
== SPECIFY ==
* the InletVapour stream;
* the outlet flows: OutletVapour.F and OutletLiquid.F;
* the InletQ (the model requires an energy stream, also you can use a controller for setting the heat duty using the heat_flow model).

== OPTIONAL ==
* the condenser model has three control ports
** TI OutletLiquid Temperature Indicator;
** PI OutletLiquid Pressure Indicator;
** LI Level Indicator of Condenser;

== INITIAL CONDITIONS ==
* Initial_Temperature :  the condenser temperature (OutletLiquid.T);
* Levelpercent_Initial : the condenser liquid level in percent (LI);
* Initial_Composition : (NoComps) OutletLiquid compositions.
";      
        
PARAMETERS
        outer PP                as Plugin       (Brief = "External Physical Properties", Type="PP");
        outer NComp     as Integer (Brief="Number of Components");
        
        Mw(NComp)       as molweight    (Brief = "Component Mol Weight",Hidden=true);
        low_flow        as flow_mol     (Brief = "Low Flow",Default = 1E-6, Hidden=true);
        zero_flow       as flow_mol     (Brief = "No Flow",Default = 0, Hidden=true);
        KfConst         as area                 (Brief="Constant for K factor pressure drop", Default = 1, Hidden=true);
        
        VapourFlow      as Switcher     (Brief="Vapour Flow", Valid = ["on", "off"], Default = "on",Hidden=true);

        V               as volume       (Brief="Condenser total volume");
        Across  as area         (Brief="Cross Section Area of condenser");
        Kfactor as positive (Brief="K factor for pressure drop", Lower = 1E-8, Default = 1E-3);
        
        Levelpercent_Initial            as positive     (Brief="Initial liquid height in Percent", Default = 0.70);
        Initial_Temperature                     as temperature  (Brief="Initial Temperature of Condenser");
        Initial_Composition(NComp)      as positive     (Brief="Initial Liquid Composition", Lower=1E-6);
        
VARIABLES

in      InletVapour     as stream                       (Brief="Vapour inlet stream", PosX=0.13, PosY=0, Symbol="_{in}^{Vapour}");
out     OutletLiquid    as liquid_stream        (Brief="Liquid outlet stream", PosX=0.35, PosY=1, Symbol="_{out}^{Liquid}");
out     OutletVapour    as vapour_stream        (Brief="Vapour outlet stream", PosX=0.54, PosY=0, Symbol="_{out}^{Vapour}");
in      InletQ                  as power                        (Brief="Heat supplied", Protected = true, PosX=1, PosY=0.08, Symbol="Q_{in}");

        out     TI as control_signal    (Brief="Temperature  Indicator of Condenser", Protected = true, PosX=0.33, PosY=0);
        out     LI as control_signal    (Brief="Level  Indicator of Condenser", Protected = true, PosX=0.43, PosY=0);
        out     PI as control_signal    (Brief="Pressure  Indicator of Condenser", Protected = true, PosX=0.25, PosY=0);

        M(NComp)        as mol                  (Brief="Molar Holdup in the tray", Protected = true);
        ML                      as mol                  (Brief="Molar liquid holdup", Protected = true);
        MV                      as mol                  (Brief="Molar vapour holdup", Protected = true);
        E                       as energy               (Brief="Total Energy Holdup on tray", Protected = true);
        vL                      as volume_mol   (Brief="Liquid Molar Volume", Protected = true);
        vV                      as volume_mol   (Brief="Vapour Molar volume", Protected = true);
        rho                     as dens_mass    (Brief ="Inlet Vapour Mass Density",Hidden=true, Symbol ="\rho");
        Level           as length               (Brief="Level of liquid phase", Protected = true);
        Pdrop           as press_delta  (Brief = "Pressure Drop", DisplayUnit = 'kPa', Symbol ="\Delta P", Protected=true);

SET

        Mw   = PP.MolecularWeight();
        low_flow = 1E-6 * 'kmol/h';
        zero_flow = 0 * 'kmol/h';
        KfConst = 1*'m^2';
        
INITIAL

"Initial level Percent"
        LI = Levelpercent_Initial;

"Initial Temperature"
        OutletLiquid.T  = Initial_Temperature;

"Initial Composition"
        OutletLiquid.z(1:NComp-1) = Initial_Composition(1:NComp-1)/sum(Initial_Composition);

EQUATIONS

switch VapourFlow

case "on":
        InletVapour.F*sum(Mw*InletVapour.z) = Kfactor *sqrt(Pdrop*rho)*KfConst;

        when InletVapour.F < low_flow switchto "off";

case "off":
        InletVapour.F = zero_flow;

        when InletVapour.P > OutletLiquid.P switchto "on";

end

"Component Molar Balance"
        diff(M) = InletVapour.F*InletVapour.z - OutletLiquid.F*OutletLiquid.z- OutletVapour.F*OutletVapour.z;

"Energy Balance"
        diff(E) = InletVapour.F*InletVapour.h - OutletLiquid.F*OutletLiquid.h- OutletVapour.F*OutletVapour.h + InletQ;

"Molar Holdup"
        M = ML*OutletLiquid.z + MV*OutletVapour.z; 
        
"Energy Holdup"
        E = ML*OutletLiquid.h + MV*OutletVapour.h - OutletVapour.P*V;
        
"Mol fraction normalisation"
        sum(OutletLiquid.z)=1.0;

"Mol fraction Constraint"
        sum(OutletLiquid.z)=sum(OutletVapour.z);

"Liquid Volume"
        vL = PP.LiquidVolume(OutletLiquid.T, OutletLiquid.P, OutletLiquid.z);
        
"Vapour Volume"
        vV = PP.VapourVolume(OutletVapour.T, OutletVapour.P, OutletVapour.z);

"Inlet Vapour Density"
        rho = PP.VapourDensity(InletVapour.T, InletVapour.P, InletVapour.z);
        
"Chemical Equilibrium"
        PP.LiquidFugacityCoefficient(OutletLiquid.T, OutletLiquid.P, OutletLiquid.z)*OutletLiquid.z = 
                PP.VapourFugacityCoefficient(OutletVapour.T, OutletVapour.P, OutletVapour.z)*OutletVapour.z;

"Thermal Equilibrium"
        OutletLiquid.T = OutletVapour.T;

"Mechanical Equilibrium"
        OutletVapour.P = OutletLiquid.P;

"Pressure Drop"
        OutletLiquid.P  = InletVapour.P - Pdrop;

"Geometry Constraint"
        V = ML*vL + MV*vV;

"Level of liquid phase"
        Level = ML*vL/Across;

"Temperature indicator"
        TI * 'K' = OutletLiquid.T;

"Pressure indicator"
        PI * 'atm' = OutletLiquid.P;

"Level indicator"
        LI*V = Level*Across;
        
end