Changeset 477 for branches/packed/eml/stage_separators/tray.mso

Timestamp:

Mar 7, 2008, 3:46:44 PM (15 years ago)

Author:

Paula Bettio Staudt

Message:

Some modifications

File:

• branches/packed/eml/stage_separators/tray.mso (modified) (2 diffs)

branches/packed/eml/stage_separators/tray.mso

@@ -365 +365 @@
         rhoL as dens_mass;
         rhoV as dens_mass;
-        uL as Real (Brief="volume flow rate of liquid, m^3/m^2/s", Default = 0.007);
-        uV as Real (Brief="volume flow rate of vapor, m^3/m^2/s", Default = 1.14);
+        uL as velocity (Brief="volume flow rate of liquid, m^3/m^2/s", Lower = 0, Default = 0.007);
+        uV as velocity (Brief="volume flow rate of vapor, m^3/m^2/s", Lower = 0, Default = 1.14);
         dp as length (Brief="Particle diameter", Default=1e-3);
         invK as Real (Brief="Wall factor");
@@ -661 +661 @@
 end
 
-
+Model packedStage
+        PARAMETERS
+outer PP as Plugin(Brief = "External Physical Properties", Type="PP");
+outer NComp as Integer;
+        V as volume(Brief="Total Volume of the tray");
+        Q as heat_rate (Brief="Rate of heat supply"); 
+        Ap as area (Brief="Plate area = Atray - Adowncomer");
+
+        a as Real (Brief="surface area per packing volume", Unit='m^2/m^3');
+        g as acceleration;
+        e as Real (Brief="Void fraction of packing, m^3/m^3");
+        ds as length (Brief="Column diameter");
+        Cpo as Real (Brief="Constant for resitance equation"); # Billet and Schultes, 1999.
+        Mw(NComp)       as molweight    (Brief = "Component Mol Weight");
+        hs as length (Brief="Height of the packing stage");
+        Qsio as Real (Brief="Resistance coefficient", Lower = 0);
+
+        VARIABLES
+in      Inlet as stream (Brief="Feed stream", PosX=0, PosY=0.4932, Symbol="_{in}");
+in      InletL as stream (Brief="Inlet liquid stream", PosX=0.5195, PosY=0, Symbol="_{inL}");
+in      InletV as stream (Brief="Inlet vapour stream", PosX=0.4994, PosY=1, Symbol="_{inV}");
+out     OutletL as liquid_stream (Brief="Outlet liquid stream", PosX=0.8277, PosY=1, Symbol="_{outL}");
+out     OutletV as vapour_stream (Brief="Outlet vapour stream", PosX=0.8043, PosY=0, Symbol="_{outV}");
+
+        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");
+        
+        miL as viscosity (Brief="Liquid dynamic viscosity", DisplayUnit='kg/m/s');
+        miV as viscosity (Brief="Vapor dynamic viscosity", DisplayUnit='kg/m/s');
+        rhoL as dens_mass;
+        rhoV as dens_mass;
+        uL as velocity (Brief="volume flow rate of liquid, m^3/m^2/s", Lower = -10, Default = 0.007);
+        uV as velocity (Brief="volume flow rate of vapor, m^3/m^2/s", Lower = -10, Default = 1.14);
+        dp as length (Brief="Particle diameter", Default=1e-3);
+        invK as Real (Brief="Wall factor");
+#       Rev as Real (Brief="Reynolds number of the vapor stream", Lower = 0, Default=100);
+#       Qsio as Real (Brief="Resistance coefficient", Lower = 0, Default=100);
+        Al as area;
+        
+        SET
+        Mw = PP.MolecularWeight();
+
+        EQUATIONS
+        "Component Molar Balance"
+        diff(M)=Inlet.F*Inlet.z + InletL.F*InletL.z + InletV.F*InletV.z
+                - OutletL.F*OutletL.z - OutletV.F*OutletV.z;
+#       diff(sum(M))=Inlet.F + InletL.F + InletV.F - OutletL.F - OutletV.F;
+#       OutletL.z = OutletV.z;
+
+        "Energy Balance"
+        diff(E) = ( Inlet.F*Inlet.h + InletL.F*InletL.h + InletV.F*InletV.h
+                - OutletL.F*OutletL.h - OutletV.F*OutletV.h + Q );
+        
+        "Molar Holdup"
+        M = ML*OutletL.z + MV*OutletV.z;
+        
+        "Energy Holdup"
+        E = ML*OutletL.h + MV*OutletV.h - OutletL.P*V;
+        
+        "Mol fraction normalisation"
+        sum(OutletL.z)= 1.0;
+        sum(OutletL.z)=sum(OutletV.z);
+        
+        "Liquid Volume"
+        vL = PP.LiquidVolume(OutletL.T, OutletL.P, OutletL.z);
+        "Vapour Volume"
+        vV = PP.VapourVolume(OutletV.T, OutletV.P, OutletV.z);
+        
+        "Chemical Equilibrium"
+#       OutletV.z = OutletL.z;
+        PP.LiquidFugacityCoefficient(OutletL.T, OutletL.P, OutletL.z)*OutletL.z = 
+                PP.VapourFugacityCoefficient(OutletV.T, OutletV.P, OutletV.z)*OutletV.z;
+        
+        "Thermal Equilibrium"
+        OutletV.T = OutletL.T;
+        
+        "Mechanical Equilibrium"
+        OutletL.P = OutletV.P;
+        
+        "Geometry Constraint"
+        V*e = ML*vL + MV*vV;
+        
+        "Liquid Density"
+        rhoL = PP.LiquidDensity(OutletL.T, OutletL.P, OutletL.z);
+        "Vapour Density"
+        rhoV = PP.VapourDensity(InletV.T, InletV.P, InletV.z);
+        "Liquid viscosity"
+        miL = PP.LiquidViscosity(OutletL.T, OutletL.P, OutletL.z);
+        "Vapour viscosity"
+        miV = PP.VapourViscosity(InletV.T, InletV.P, InletV.z);
+        
+        Al = ML*vL/hs;
+
+        "Volume flow rate of liquid, m^3/m^2/s"
+        uL * Al = OutletL.F * vL;
+        "Volume flow rate of vapor, m^3/m^2/s"
+        uV * (Ap*e - Al) = OutletV.F * vV;
+        
+        "Liquid holdup and Liquid flow"
+        vL * ML = (12*miL*a^2*uL/rhoL/g)^1/3 * hs * Ap;
+        
+        "Particle diameter"
+        dp = 6 * (1-e)/a;
+        
+        "Wall Factor"
+        invK = (1 + (2*dp/(3*ds*(1-e))));
+        
+#*      "Reynolds number of the vapor stream"
+        Rev*invK = dp*uV*rhoV / (miV*(1-e));
+
+        Qsio = Cpo * (64/Rev + 1.8/Rev^0.08);
+        if Rev > 1e-4 then
+                "Resistance Coefficient"        
+                Qsio = Cpo * (64/Rev + 1.8/Rev^0.08);
+        else
+                Qsio = 1;
+        end
+*#
+        "Pressure drop and Vapor flow"
+        (InletV.P - OutletV.P)/hs  = Qsio*a*uV^2*rhoV*invK / (2*e^3);
+end
+
+# component #1 = nitrogen; #2 = water
+Model packedStage_AirWater
+        PARAMETERS
+outer PP as Plugin(Brief = "External Physical Properties", Type="PP");
+outer NComp as Integer;
+        V as volume(Brief="Total Volume of the tray");
+        Q as heat_rate (Brief="Rate of heat supply"); 
+        Ap as area (Brief="Plate area = Atray - Adowncomer");
+
+        a as Real (Brief="surface area per packing volume", Unit='m^2/m^3');
+        g as acceleration;
+        e as Real (Brief="Void fraction of packing, m^3/m^3");
+        ds as length (Brief="Column diameter");
+        Cpo as Real (Brief="Constant for resitance equation"); # Billet and Schultes, 1999.
+        Ch as Real (Brief="Constant for ah equation"); # Billet and Schultes, 1999.
+        Mw(NComp)       as molweight    (Brief = "Component Mol Weight");
+        hs as length (Brief="Height of the packing stage");
+        #Qsio as Real (Brief="Resistance coefficient", Lower = 0);
+
+        VARIABLES
+in      Inlet as stream (Brief="Feed stream", PosX=0, PosY=0.4932, Symbol="_{in}");
+in      InletL as stream (Brief="Inlet liquid stream", PosX=0.5195, PosY=0, Symbol="_{inL}");
+in      InletV as stream (Brief="Inlet vapour stream", PosX=0.4994, PosY=1, Symbol="_{inV}");
+out     OutletL as liquid_stream (Brief="Outlet liquid stream", PosX=0.8277, PosY=1, Symbol="_{outL}");
+out     OutletV as vapour_stream (Brief="Outlet vapour stream", PosX=0.8043, PosY=0, Symbol="_{outV}");
+
+        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");
+        
+        miL as viscosity (Brief="Liquid dynamic viscosity", DisplayUnit='kg/m/s');
+        miV as viscosity (Brief="Vapor dynamic viscosity", DisplayUnit='kg/m/s');
+        rhoL as dens_mass;
+        rhoV as dens_mass;
+        uL as velocity (Brief="volume flow rate of liquid, m^3/m^2/s", Lower = -10, Default = 0.007);
+        uV as velocity (Brief="volume flow rate of vapor, m^3/m^2/s", Lower = -10, Default = 1.14);
+        dp as length (Brief="Particle diameter", Default=1e-3);
+        invK as Real (Brief="Wall factor");
+        Rev as Real (Brief="Reynolds number of the vapor stream", Lower = 0, Default=100);
+#       Rel as Real (Brief="Reynolds number of the liquid stream", Lower = -10, Default=100);
+#       ah as Real (Brief="Hydraulic surface area", Unit='m^2/m^3');
+        Qsio as Real (Brief="Resistance coefficient", Lower = 0, Default=100);
+        Al as area;
+        
+        SET
+        Mw = PP.MolecularWeight();
+
+        EQUATIONS
+        "Component Molar Balance"
+#       diff(M)=Inlet.F*Inlet.z + InletL.F*InletL.z + InletV.F*InletV.z
+#               - OutletL.F*OutletL.z - OutletV.F*OutletV.z;
+        diff(sum(M))=Inlet.F + InletL.F + InletV.F - OutletL.F - OutletV.F;
+
+        "Energy Balance"
+        diff(E) = ( Inlet.F*Inlet.h + InletL.F*InletL.h + InletV.F*InletV.h
+                - OutletL.F*OutletL.h - OutletV.F*OutletV.h + Q );
+        
+        "Molar Holdup"
+        M = ML*OutletL.z + MV*OutletV.z;
+        
+        "Energy Holdup"
+        E = ML*OutletL.h + MV*OutletV.h - OutletL.P*V;
+        
+#       "Mol fraction normalisation"
+#       sum(OutletL.z)= 1.0;
+#       sum(OutletL.z)=sum(OutletV.z);
+        
+        "Chemical Equilibrium"
+        OutletV.z = [1 0];
+        OutletL.z = [0 1];
+#       PP.LiquidFugacityCoefficient(OutletL.T, OutletL.P, OutletL.z)*OutletL.z = 
+#               PP.VapourFugacityCoefficient(OutletV.T, OutletV.P, OutletV.z)*OutletV.z;
+        
+        "Thermal Equilibrium"
+        OutletV.T = OutletL.T;
+        
+        "Mechanical Equilibrium"
+        OutletL.P = OutletV.P;
+        
+        "Geometry Constraint"
+        V*e = ML*vL + MV*vV;
+        
+        "Liquid Density"
+        rhoL = 999 * 'kg/m^3';#PP.LiquidDensity(OutletL.T, OutletL.P, OutletL.z);
+        "Vapour Density"
+        rhoV = 1.19 * 'kg/m^3'; #PP.VapourDensity(InletV.T, InletV.P, InletV.z);
+        "Liquid viscosity"
+        miL = 0.001 * 'kg/m/s' ; #PP.LiquidViscosity(OutletL.T, OutletL.P, OutletL.z);
+        "Vapour viscosity"
+        miV = PP.VapourViscosity(InletV.T, InletV.P, InletV.z);
+        "Liquid Volume"
+        vL = 18 * 'g/mol' / rhoV; #PP.LiquidVolume(OutletL.T, OutletL.P, OutletL.z);
+        "Vapour Volume"
+        vV = 28 * 'g/mol' / rhoL; #PP.VapourVolume(OutletV.T, OutletV.P, OutletV.z);
+
+        "Cross section area ocupied by the liquid"
+        Al = ML*vL/hs;
+
+        "Volume flow rate of liquid, m^3/m^2/s"
+        uL * Al = OutletL.F * vL;
+
+        "Volume flow rate of vapor, m^3/m^2/s"
+        uV * (Ap*e - Al) = OutletV.F * vV;
+
+        "Particle diameter"
+        dp = 6 * (1-e)/a;
+        
+        "Wall Factor"
+        invK = (1 + (2*dp/(3*ds*(1-e))));
+        
+        "Reynolds number of the vapor stream"
+        Rev*invK = dp*uV*rhoV / (miV*(1-e));
+#*      "Reynolds number of the liquid stream"
+        Rel = uL*rhoL / (a*miL);
+
+        if Rel < 5 then
+                if Rel < 1e-4 then
+                        ah = 0 * '1/m';
+                else
+                        "Hydraulic surface area"
+                        ah = a * Ch * Rel^0.15 * (uL^2*a/g)^0.1; #(Rel^2*a^3*miL^2/rhoL^2/g)^0.1; #
+                end
+        else
+                ah = a * Ch * 0.85 * Rel^0.25 * (uL^2*a/g)^0.1; #(Rel^2*a^3*miL^2/rhoL^2/g)^0.1; #
+        end
+*#      
+#       if ah equal 0 then
+#               uL = 0 * 'm/s';
+#       else
+                "Liquid holdup and Liquid flow"
+                vL * ML = V * (12*miL*a^2*uL/rhoL/g)^1/3; # * (ah/a)^1;
+#       end
+        
+        "Resistance Coefficient"        
+        Qsio = Cpo * (64/Rev + 1.8/Rev^0.08);
+
+        "Pressure drop and Vapor flow"
+        (InletV.P - OutletV.P)/hs  = 3*Qsio*a*uV^2*rhoV*invK / (2*e^3);
+end