source: trunk/eml/stage_separators/batch_dist.mso @ 848

#*-------------------------------------------------------------------
* 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: Maurício Carvalho Maciel
* $Id: batch_dist.mso 353 2007-08-30 16:12:27Z arge $
*--------------------------------------------------------------------*#
using "streams";
        
Model Diff_Dist
        ATTRIBUTES
        Pallete         = true;
        Icon            = "icon/BatchDist"; 
        Brief           = "Model of a Batch Differential Distillation.";
        Info            =
"== Assumptions ==
* perfect mixing of both phases;
* thermodynamics equilibrium;
* no liquid entrainment in the vapour stream.
        
== Specify ==
* the inlet stream;
* the liquid inlet stream;
* the molar flow of the vapour outlet stream.
        
== Initial Conditions ==
* the distillator temperature (T);
* the distillator liquid level (Level);
* (NoComps - 1) compositions in the distillator or in the OutletV.
";

        PARAMETERS
outer PP                as Plugin       (Brief = "External Physical Properties", Type="PP");
outer NComp     as Integer      (Brief = "Number of chemical components", Lower = 1);
        Across          as area         (Brief = "Cross Section Area");
        V                       as volume       (Brief = "Total volume");
        
        VARIABLES
in      Inlet   as stream (Brief="Feed stream", PosX=0, PosY=0.9385, Symbol="_{in}");
in      InletL  as stream (Brief="Liquid inlet stream", PosX=0.5, PosY=0.1984, Symbol="_{inL}"); # FIXME
out     OutletV as vapour_stream (Brief="Vapour outlet stream", PosX=1, PosY=0.1984, Symbol="_{outV}");
in      InletQ  as energy_stream (Brief="Heat supplied", PosX=1, PosY=0.9578, Symbol="_{in}");

        M(NComp)        as mol                  (Brief="Molar Holdup in the distillator");
        ML                      as mol                  (Brief="Molar liquid holdup");
        MV                      as mol                  (Brief="Molar vapour holdup");
        E                       as energy               (Brief="Total Energy holdup on distillator");
        volL            as volume_mol   (Brief="Liquid Molar Volume");
        volV            as volume_mol   (Brief="Vapour Molar volume");
        Level           as length               (Brief="Level of liquid phase", Default=1, Lower=0);
        T                       as temperature  (Brief="Temperature on distillator");
        P                       as pressure             (Brief="Pressure on distillator");
        x(NComp)        as fraction     (Brief = "Molar Fraction of the Liquid of the distillator");
        h                       as enth_mol             (Brief="Molar Enthalpy of the liquid of the distillator");
        
        EQUATIONS
        
        "Component Molar Balance"
        diff(M)= Inlet.F*Inlet.z + InletL.F*InletL.z - OutletV.F*OutletV.z;
        
        "Energy Balance"
        diff(E) = Inlet.F*Inlet.h + InletL.F*InletL.h - OutletV.F*OutletV.h + InletQ.Q;
        
        "Molar Holdup"
        M = ML*x + MV*OutletV.z; 
        
        "Energy Holdup"
        E = ML*h + MV*OutletV.h - P*V;
        
        "Mol fraction normalisation"
        sum(x)=1.0;
        sum(x)=sum(OutletV.z);

        "Liquid Volume"
        volL = PP.LiquidVolume(T, P, x);
        
        "Vapour Volume"
        volV = PP.VapourVolume(OutletV.T, OutletV.P, OutletV.z);
        
        "Chemical Equilibrium"
        PP.LiquidFugacityCoefficient(T, P, x)*x = 
                PP.VapourFugacityCoefficient(OutletV.T, OutletV.P, OutletV.z)*OutletV.z;

        "Mechanical Equilibrium"
        P = OutletV.P;
        
        "Thermal Equilibrium"
        T = OutletV.T;
        
        "Geometry Constraint"
        V = ML*volL + MV*volV;
        
        "Level of liquid phase"
        Level = ML*volL/Across;
        
        "Enthalpy"
        h = PP.LiquidEnthalpy(T, P, x);
        
end