source: branches/gui/eml/stage_separators/flash.mso @ 990

Last change on this file since 990 was 918, checked in by Rafael de Pelegrini Soares, 13 years ago

Fixed some flash and cost models

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[1]1#*-------------------------------------------------------------------
[72]2* EMSO Model Library (EML) Copyright (C) 2004 - 2007 ALSOC.
3*
4* This LIBRARY is free software; you can distribute it and/or modify
5* it under the therms of the ALSOC FREE LICENSE as available at
6* http://www.enq.ufrgs.br/alsoc.
7*
8* EMSO Copyright (C) 2004 - 2007 ALSOC, original code
9* from http://www.rps.eng.br Copyright (C) 2002-2004.
10* All rights reserved.
11*
12* EMSO is distributed under the therms of the ALSOC LICENSE as
13* available at http://www.enq.ufrgs.br/alsoc.
[1]14*----------------------------------------------------------------------
15* Author: Paula B. Staudt
16* $Id: flash.mso 918 2010-02-25 16:45:10Z rafael $
17*--------------------------------------------------------------------*#
18
[879]19using "tank";
[1]20
[918]21Model flash as VesselVolume
[711]22
23ATTRIBUTES
[270]24        Pallete         = true;
[300]25        Icon            = "icon/Flash";
[796]26        Brief           = "Model of a Dynamic Flash Vessel.";
[270]27        Info            =
[796]28"== ASSUMPTIONS ==
29* perfect mixing of both phases;
30* thermodynamics equilibrium.
31
32== SET ==
33*Orientation: vessel position - vertical or horizontal;
34*Heads (bottom and top heads are identical)
35**elliptical: 2:1 elliptical heads (25% of vessel diameter);
36**hemispherical: hemispherical heads (50% of vessel diameter);
37**flat: flat heads (0% of vessel diameter);
38*Diameter: Vessel diameter;
39*Lenght: Side length of the cylinder shell;
[270]40       
[796]41== SPECIFY ==
42* the Inlet stream;
43* the outlet flows: OutletVapour.F and OutletLiquid.F;
44* the InletQ (the model requires an energy stream, also you can use a controller for setting the heat duty using the heat_flow model).
[270]45
[796]46== OPTIONAL ==
47* the Flash model has three control ports
48** TI OutletLiquid Temperature Indicator;
49** PI OutletLiquid Pressure Indicator;
50** LI Level Indicator;
51
52== INITIAL CONDITIONS ==
53* Initial_Temperature :  the Flash temperature (OutletLiquid.T);
54* Initial_Level : the Flash liquid level (Level);
55* Initial_Composition : (NoComps) OutletLiquid compositions.
[353]56";
[270]57       
[711]58PARAMETERS
[796]59outer PP                as Plugin       (Brief = "External Physical Properties", Type="PP");
60outer NComp     as Integer      (Brief = "Number of components", Lower = 1);
[235]61
[796]62        Mw(NComp)               as molweight    (Brief="Mol Weight", Hidden=true);
63       
64        Levelpercent_Initial                    as positive     (Brief="Initial liquid height in Percent", Default = 0.70);
65        Temperature_Initial                             as temperature  (Brief="Initial Liquid Temperature", Default = 330);
66        Composition_Initial(NComp)              as fraction             (Brief="Initial Composition", Default = 0.10);
[711]67
68SET
69
[1]70        Mw=PP.MolecularWeight();
[235]71
[711]72VARIABLES
[1]73
[796]74in      Inlet                   as stream                       (Brief="Feed Stream", PosX=0, PosY=0.48, Symbol="_{in}");
75out     OutletLiquid    as liquid_stream        (Brief="Liquid outlet stream", PosX=0.43, PosY=1, Symbol="_{out}^{Liquid}");
76out     OutletVapour    as vapour_stream        (Brief="Vapour outlet stream", PosX=0.43, PosY=0, Symbol="_{out}^{Vapour}");
77in      InletQ                  as power                        (Brief="Heat Duty", PosX=1, PosY=0.81, Protected =true,Symbol="Q_{in}");
[235]78
[711]79        TotalHoldup(NComp)              as mol  (Brief="Molar Holdup in the Vessel", Protected=true);
[796]80        LiquidHoldup                    as mol  (Brief="Molar liquid holdup", Protected=true);
81        VapourHoldup                    as mol  (Brief="Molar vapour holdup", Protected=true);
[711]82       
[796]83        E                       as energy               (Brief="Total Energy Holdup in the Vessel", Protected=true);
[711]84        vL                      as volume_mol   (Brief="Liquid Molar Volume", Protected=true);
85        vV                      as volume_mol   (Brief="Vapour Molar volume", Protected=true);
[796]86        vfrac           as positive     (Brief="Vapourization fraction", Symbol="\phi", Protected=true);
87        Pratio          as positive             (Brief = "Pressure Ratio", Symbol ="P_{ratio}", Protected=true);       
[711]88        Pdrop           as press_delta  (Brief = "Pressure Drop", DisplayUnit = 'kPa', Symbol ="\Delta P", Protected=true);
[555]89
[825]90        Peq             as pressure             (Brief="Equilibrium pressure on the liquid surface", Protected=true, Symbol="\Delta P_{eq}");
91        Pstatic         as pressure             (Brief="Static head at the bottom of the tank", Protected = true, Symbol="P_{static}^{Liquid}");
[823]92
[796]93out     TI as control_signal    (Brief="Temperature Indicator", PosX=1, PosY=0.39, Protected=true);
94out     PI as control_signal    (Brief="Pressure Indicator", PosX=1, PosY=0.21, Protected=true);
95out     LI as control_signal    (Brief="Level Indicator", PosX=1, PosY=0.59, Protected=true);
[711]96
97INITIAL
98
[796]99"Initial level Percent"
[711]100        LI = Levelpercent_Initial;
[1]101       
[796]102"Initial Outlet Liquid Temperature"
[711]103        OutletLiquid.T = Temperature_Initial;
[1]104       
[796]105"Initial Outlet Liquid Composition Normalized"
[711]106        OutletLiquid.z(1:NComp - 1) = Composition_Initial(1:NComp - 1)/sum(Composition_Initial);
107
108EQUATIONS
109
110"Component Molar Balance"
111        diff(TotalHoldup)=Inlet.F*Inlet.z - OutletLiquid.F*OutletLiquid.z - OutletVapour.F*OutletVapour.z;
[1]112       
[711]113"Energy Balance"
114        diff(E) = Inlet.F*Inlet.h - OutletLiquid.F*OutletLiquid.h - OutletVapour.F*OutletVapour.h + InletQ;
[1]115       
[711]116"Molar Holdup"
117        TotalHoldup = LiquidHoldup*OutletLiquid.z + VapourHoldup*OutletVapour.z;
118       
119"Energy Holdup"
[918]120        E = LiquidHoldup*OutletLiquid.h + VapourHoldup*OutletVapour.h - OutletLiquid.P*Vtotal;
[711]121       
122"Mol fraction normalisation"
123        sum(OutletLiquid.z)=1.0;
[333]124
[711]125"Mol fraction normalisation"
126        sum(OutletLiquid.z)=sum(OutletVapour.z);
[333]127
[711]128"Vaporization Fraction"
129        OutletVapour.F = Inlet.F * vfrac;
[333]130
[711]131"Liquid Volume"
[823]132        vL = PP.LiquidVolume(OutletLiquid.T, Peq, OutletLiquid.z);
[333]133
[711]134"Vapour Volume"
[823]135        vV = PP.VapourVolume(OutletVapour.T, Peq, OutletVapour.z);
[1]136       
[711]137"Chemical Equilibrium"
[823]138        PP.LiquidFugacityCoefficient(OutletLiquid.T, Peq, OutletLiquid.z)*OutletLiquid.z =
139                PP.VapourFugacityCoefficient(OutletVapour.T, Peq, OutletVapour.z)*OutletVapour.z;
[1]140       
[711]141"Thermal Equilibrium"
142        OutletVapour.T = OutletLiquid.T;
[823]143
144"Mechanical Equilibrium for the Vapour Phase"
145        OutletVapour.P = Peq;
[1]146       
[823]147"Static Head"   
[918]148        Pstatic = PP.LiquidDensity(OutletLiquid.T, Peq, OutletLiquid.z) * Gconst * Level;
[372]149
[823]150"Mechanical Equilibrium for the Liquid Phase"
151        OutletLiquid.P = Peq + Pstatic;
152
[711]153"Pressure Drop"
154        OutletLiquid.P  = Inlet.P - Pdrop;
[372]155
[711]156"Pressure Ratio"
157        OutletLiquid.P = Inlet.P * Pratio;
[372]158
[711]159"Geometry Constraint"
[918]160        Vtotal = LiquidHoldup * vL + VapourHoldup * vV;
[235]161
[796]162"Temperature indicator"
163        TI * 'K' = OutletLiquid.T;
[555]164
[711]165"Pressure indicator"
166        PI * 'atm' = OutletLiquid.P;
167
168"Level indicator"
[918]169        LI*Vtotal= Vfilled;
[711]170
[796]171"Liquid Level"
[918]172        LiquidHoldup * vL = Vfilled;
[235]173
[1]174end
175
[117]176Model flash_steady
[1]177
[714]178ATTRIBUTES
[321]179        Pallete         = true;
180        Icon            = "icon/Flash";
181        Brief           = "Model of a static PH flash.";
[353]182        Info            =
183"This model is for using the flashPH routine available on VRTherm.
[321]184
[797]185== ASSUMPTIONS ==
[353]186* perfect mixing of both phases;
[797]187* thermodynamics equilibrium.
188* static model.
[321]189
[797]190== SPECIFY ==
191* The Inlet stream;
[714]192* The heat duty;
193* The outlet pressure.
[353]194";     
[321]195
[714]196PARAMETERS
[321]197
[797]198outer PP                as Plugin(Brief = "External Physical Properties", Type="PP");
[714]199outer NComp     as Integer;
[321]200
[714]201VARIABLES
[321]202
[797]203in      Inlet                   as stream                       (Brief="Feed Stream", PosX=0, PosY=0.48, Symbol="_{in}");
204out     OutletLiquid    as liquid_stream        (Brief="Liquid outlet stream", PosX=0.43, PosY=1, Symbol="_{out}^{Liquid}");
205out     OutletVapour    as vapour_stream        (Brief="Vapour outlet stream", PosX=0.43, PosY=0, Symbol="_{out}^{Vapour}");
206in      InletQ                  as power                        (Brief="Heat Duty", PosX=1, PosY=0.81, Protected =true,Symbol="Q_{in}");
[321]207
[797]208        vfrac           as fraction             (Brief="Vaporization fraction", Symbol="\phi", Protected =true);
209        h                       as enth_mol             (Brief="Mixture enthalpy", Hidden =true);
210        Pratio          as positive     (Brief = "Pressure Ratio", Symbol ="P_{ratio}", Protected =true);       
211        Pdrop           as press_delta  (Brief = "Pressure Drop", DisplayUnit = 'kPa', Symbol ="\Delta P", Protected =true);
[321]212
[714]213EQUATIONS
214
215if vfrac > 0 and vfrac <1
216
217then
218"The flash calculation"
219        [vfrac, OutletLiquid.z, OutletVapour.z] = PP.Flash(OutletVapour.T, OutletVapour.P, Inlet.z);
220
221else
222"Chemical equilibrium"
223        [vfrac,OutletLiquid.z,OutletVapour.z]=PP.FlashPH(OutletLiquid.P,h,Inlet.z);
224
225end
226
227"Global Molar Balance"
228        Inlet.F = OutletVapour.F + OutletLiquid.F;
229
230"Vapour Fraction"
231        OutletVapour.F = Inlet.F * vfrac;
232
233"Energy Balance"
[555]234        Inlet.F*(h - Inlet.h) = InletQ;
[714]235        Inlet.F*h = Inlet.F*(1-vfrac)*OutletLiquid.h + Inlet.F*vfrac*OutletVapour.h;
[321]236
[714]237"Thermal Equilibrium"
238        OutletVapour.T = OutletLiquid.T;
[321]239       
[714]240"Mechanical Equilibrium"
241        OutletVapour.P = OutletLiquid.P;
[372]242
[714]243"Pressure Drop"
244        OutletLiquid.P  = Inlet.P - Pdrop;
[372]245
[714]246"Pressure Ratio"
247        OutletLiquid.P = Inlet.P * Pratio;
248
[321]249end
250
[714]251Model FlashPHSteady
[321]252        ATTRIBUTES
[797]253        Pallete         = false;
[321]254        Icon            = "icon/Flash";
255        Brief           = "Another model of a static PH flash.";
[353]256        Info            =
257"This model shows how to model a pressure enthalpy flash
258directly with the EMSO modeling language.
[321]259
[353]260This model is for demonstration purposes only, the flashPH
261routine available on VRTherm is much more robust.
[321]262
[353]263== Assumptions ==
264* perfect mixing of both phases;
[321]265
[353]266== Specify ==
267* the feed stream;
268* the heat duty;
269* the outlet pressure.
270";     
[321]271       
272        PARAMETERS
273outer PP as Plugin(Brief = "External Physical Properties", Type="PP");
274outer NComp as Integer;
275        B as Real(Default=1000, Brief="Regularization Factor");
276
277        VARIABLES
[352]278in      Inlet as stream(Brief="Feed Stream", PosX=0, PosY=0.5421, Symbol="_{in}");
279out     OutletL as liquid_stream(Brief="Liquid outlet stream", PosX=0.4790, PosY=1, Symbol="_{outL}");
280out     OutletV as vapour_stream(Brief="Vapour outlet stream", PosX=0.4877, PosY=0, Symbol="_{outV}");
[555]281in      InletQ as power (Brief="Rate of heat supply", PosX=1, PosY=0.7559, Symbol="_{in}");
[352]282        vfrac as fraction(Brief="Vaporization fraction", Symbol="\phi");
283        vsat as Real(Lower=-0.1, Upper=1.1, Brief="Vaporization fraction if saturated", Symbol="\phi_{sat}");
[321]284        Tsat as temperature(Lower=173, Upper=1473, Brief="Temperature if saturated");
285        xsat(NComp) as Real(Lower=0, Upper=1, Brief="Liquid composition if saturated");
286        ysat(NComp) as Real(Lower=0, Upper=1, Brief="Vapour composition if saturated");
[372]287        Pratio as positive (Brief = "Pressure Ratio", Symbol ="P_{ratio}");     
288        Pdrop as press_delta (Brief = "Pressure Drop", DisplayUnit = 'kPa', Symbol ="\Delta P");
[321]289       
290        zero_one as fraction(Brief="Regularization Variable");
291        one_zero as fraction(Brief="Regularization Variable");
292
293        EQUATIONS
294        "Chemical equilibrium"
295        PP.LiquidFugacityCoefficient(Tsat, OutletL.P, xsat)*xsat =
296                PP.VapourFugacityCoefficient(Tsat, OutletV.P, ysat)*ysat;
297
298        "Global Molar Balance"
299        Inlet.F = OutletV.F + OutletL.F;
300        OutletV.F = Inlet.F * vfrac;
301
302        "Component Molar Balance"
303        Inlet.F*Inlet.z = OutletL.F*xsat + OutletV.F*ysat;
304        sum(xsat) = sum(ysat);
305
306        "Energy Balance if saturated"
[555]307        Inlet.F*Inlet.h  + InletQ =
[321]308                Inlet.F*(1-vsat)*PP.LiquidEnthalpy(Tsat, OutletL.P, xsat) +
309                Inlet.F*vsat*PP.VapourEnthalpy(Tsat, OutletV.P, ysat);
310
311        "Real Energy Balance"
[555]312        Inlet.F*Inlet.h  + InletQ =
[321]313                Inlet.F*(1-vfrac)*OutletL.h + Inlet.F*vfrac*OutletV.h;
314
315        "Thermal Equilibrium"
316        OutletV.T = OutletL.T;
317       
318        "Mechanical Equilibrium"
319        OutletV.P = OutletL.P;
[372]320
321        "Pressure Drop"
322        OutletL.P  = Inlet.P - Pdrop;
323
324        "Pressure Ratio"
325        OutletL.P = Inlet.P * Pratio;
326
[321]327        # regularization functions
328        zero_one = (1 + tanh(B * vsat))/2;
329        one_zero = (1 - tanh(B * (vsat - 1)))/2;
330       
331        vfrac = zero_one * one_zero * vsat + 1 - one_zero;
332        OutletL.z = zero_one*one_zero*xsat + (1-zero_one*one_zero)*Inlet.z;
333        OutletV.z = zero_one*one_zero*ysat + (1-zero_one*one_zero)*Inlet.z;
334end
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