Changeset 454 for branches/packed

Timestamp:

Feb 8, 2008, 6:20:12 PM (15 years ago)

Author:

Paula Bettio Staudt

Message:

A new shot. Model with Billet and Schultes correlations

Location:

branches/packed

Files:

• eml/stage_separators/tray.mso (modified) (4 diffs)
• sample/stage_separators/sample_tray.mso (modified) (3 diffs)

branches/packed/eml/stage_separators/tray.mso

@@ -169 +169 @@
 end
 
-Model packedStageOld as trayBasic
+Model packedStage_Navaes as trayBasic
         PARAMETERS
         PPwater as Plugin(Brief="Physical Properties",
@@ -277 +277 @@
 end
 
-Model packedStage as trayBasic
+Model packedStage_Billet as trayBasic
         PARAMETERS
         a as Real (Brief="surface area per packing volume", Unit='m^2/m^3');
@@ -329 +329 @@
         uV * Across = OutletV.F * vV;
         
-#       "Coefficient of Resistance"
-#       ksi * C^2 * (uL/uV * sqrt(rhoV/rhoL) * (niL/niV)^5.8)^3 = g/1*'s^2/m';
+        "Coefficient of Resistance"
+        ksi * C^2 * (uL/uV * sqrt(rhoV/rhoL) * (niL/niV)^2)^0.5 = g/1*'s^2/m';
         #ksil = Cp * (exp(uL*rhoL/a/niL/200)*(hL/hLs)^0.3) * (64/Rev+(1.8/Rev)) *
         ksil = Cp * (exp(uL*rhoL/a/niL/200)*(hL/hLs)^0.3) * (64/Rev+(1.8/Rev)) *
-                                        ((e-hL)/e);
+                                        ((e-hL)/e)^1.5;
         
 #       "Liquid holdup and Liquid flow"
@@ -345 +345 @@
 
         "Theoretical Liquid Holdup"
-        #hLs = (12*a^2*niL*uL/g/rhoL)^0.333;
-        hLs = (12*a^2*niL*uL/g/rhoL);
+        hLs = (12*a^2*niL*uL/g/rhoL)^0.333;
+        #hLs = (12*a^2*niL*uL/g/rhoL);
+end
+
+Model packedStage_BilletSchultes as trayBasic
+        PARAMETERS
+        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");
+
+        VARIABLES
+        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", Default = 0.007);
+        uV as velocity (Brief="volume flow rate of vapor, m^3/m^2/s", Default = 1.14);
+        hs as length (Brief="Height of the packing stage");
+        dp as length (Brief="Particle diameter");
+        K as Real (Brief="Wall factor");
+        Rev as Real (Brief="Reynolds number of the vapor stream");
+        Qsio as Real (Brief="Resistance coefficient");
+        
+        SET
+        Mw = PP.MolecularWeight();
+        
+        EQUATIONS
+        "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);
+
+        "Volume flow rate of liquid, m^3/m^2/s"
+        uL * Ap = OutletL.F * vL;
+        "Volume flow rate of vapor, m^3/m^2/s"
+        uV * Ap = 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"
+        1 = K * 1+(2*dp/(3*ds*(1-e)));
+        
+        "Reynolds number of the vapor stream"
+        Rev = K*dp*uV*rhoV / (miV*(1-e));
+        
+        #"Resistance Coefficient"
+        #Qsio = Cpo * (64/Rev) + 1.8/Rev^0.08);
+        #Qsio = Cpo * (64/Rev);# + 1.8/Rev^0.08);
+
+        "Pressure drop and Vapor flow"
+        (InletV.P - OutletV.P)/hs = Qsio*a*uV^2*rhoV / (2*e^2*K);
 end
 

branches/packed/sample/stage_separators/sample_tray.mso

@@ -113 +113 @@
         
         DEVICES
-        t1 as packedStage;
+        t1 as packedStage_Billet;
         feed as source;
         inL as liquid_stream;
@@ -145 +145 @@
         t1.hs = 0.4 * 'm';#0.075 * 'm';
         t1.OutletV.F = 147.1 * 'kmol/h';
-        t1.OutletL.F = 229.5 * 'kmol/h';
-        t1.ksi = 0.805;
+#       t1.OutletL.F = 229.5 * 'kmol/h';
+        #t1.ksi = 0.805;
         
         SET
@@ -162 +162 @@
         INITIAL
         t1.OutletL.T = 350 *'K';
-        t1.ML = 0.2 * 'mol';
-        t1.OutletL.z(1) = 0.1;
+        t1.ML = 0.5 * 'mol';
+        t1.OutletL.z(1) = 0.2;
+        
+        OPTIONS
+        #InitialFile = "/home/paula/tray_Test.rlt";
+        #InitialFile = "/home/paula/packedStage_Test.rlt";
+        TimeStep = 2;   
+        TimeEnd = 50;
+end
+
+FlowSheet packedStage_BilletSchultes_Test
+        PARAMETERS
+        PP      as Plugin(Brief="Physical Properties",
+                Type="PP",
+                Components = [ "n-pentane", "benzene"],
+                LiquidModel = "PR",
+                VapourModel = "PR"
+        );
+        NComp   as Integer;
+
+        SET
+        NComp = PP.NumberOfComponents;
+
+        VARIABLES
+        deltaP as Real (Unit='atm/m');
+        
+        DEVICES
+        t1 as packedStage_BilletSchultes;
+        feed as source;
+        inL as liquid_stream;
+        inV as vapour_stream;
+        
+        CONNECTIONS
+        feed.Outlet to t1.Inlet;
+        inL to t1.InletL;
+        inV to t1.InletV;
+
+        EQUATIONS
+        deltaP = (t1.InletV.P - t1.OutletV.P)/t1.hs;
+
+        SPECIFY
+        feed.Outlet.F = 113.4 * 'kmol/h';
+        feed.Outlet.T = 291 * 'K';
+        feed.Outlet.P = 1.66 * 'atm';
+        feed.Outlet.z = [0.5, 0.5];
+
+        inL.F = 61.99 * 'kmol/h';       
+        inL.P = 1.63 * 'atm';
+        inL.T = 310 * 'K';
+        inL.z = [0.1641, 0.8359];
+
+        inV.F = 201.25 * 'kmol/h';
+        inV.P = 1.48 * 'atm';
+        inV.T = 321 * 'K';
+        inV.z = [0.0584, 0.9416];
+
+        t1.Emv = 1;
+        t1.hs = 0.4 * 'm';#0.075 * 'm';
+#       t1.OutletV.F = 147.1 * 'kmol/h';
+        t1.OutletL.F = 229.5 * 'kmol/h';
+        t1.Qsio = 0.8;
+        
+        SET
+        #Metal Pall Ring - nominal packing size 50 mm - Billet and Schultes, 1999.
+        t1.Q = 0 * 'kW';
+        t1.Ap = 0.8 * 'm^2';
+        t1.V = 0.8 * 'm^2' * 0.4 * 'm';
+        t1.ds = 1.009 * 'm';
+        t1.Cpo = 0.763;
+        t1.e = 0.951;
+        t1.a = 112.6 * 'm^2/m^3';
+
+        INITIAL
+        t1.OutletL.T = 350 *'K';
+        t1.ML = 0.5 * 'mol';
+        t1.OutletL.z(1) = 0.2;
         
         OPTIONS
         #InitialFile = "/home/paula/tray_Test.rlt";
         InitialFile = "/home/paula/packedStage_Test.rlt";
-        #DAESolver(File="dassl");
         TimeStep = 2;   
         TimeEnd = 50;