source: trunk/eml/heat_exchangers/HeatExchangerSimplified.mso @ 473

Last change on this file since 473 was 420, checked in by gerson bicca, 16 years ago

REMOVED SOME VARIABLES

File size: 17.5 KB
RevLine 
[420]1#*-------------------------------------------------------------------
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.
14*
15*--------------------------------------------------------------------
16* Author: Gerson Balbueno Bicca
17* $Id: HeatExchangerSimplified.mso 160 2007-02-08 18:37:44Z bicca $
18*--------------------------------------------------------------------*#
19
20using "heat_exchangers/HEX_Engine";
21
22Model HeatExchangerSimplified_Basic
23
24ATTRIBUTES
25        Pallete         = false;
26        Brief           = "Basic Models for Simplified Heat Exchangers";
27        Info            =
28        "to be documented.";
29       
30PARAMETERS
31outer PP            as Plugin   (Brief="External Physical Properties", Type="PP");
32outer NComp     as Integer  (Brief="Number of Components");
33       
34        M(NComp)  as molweight  (Brief="Component Mol Weight");
35       
36VARIABLES
37
38in  InletHot    as stream               (Brief="Inlet Hot Stream", PosX=0, PosY=0.4915, Symbol="^{inHot}");
39out OutletHot   as streamPH     (Brief="Outlet Hot Stream", PosX=1, PosY=0.4915, Symbol="^{outHot}");
40in  InletCold   as stream               (Brief="Inlet Cold Stream", PosX=0.5237, PosY=1, Symbol="^{inCold}");
41out OutletCold  as streamPH     (Brief="Outlet Cold Stream", PosX=0.5237, PosY=0, Symbol="^{outCold}");
42
43        xh(NComp)       as fraction             (Brief = "Liquid Molar Fraction in Hot Side");
44        yh(NComp)       as fraction             (Brief = "Vapour Molar Fraction in Hot Side");
45        vh                      as fraction             (Brief = "Vapour Molar Fraction in Hot Side");
46       
47        xc(NComp)       as fraction             (Brief = "Liquid Molar Fraction in Cold Side");
48        yc(NComp)       as fraction             (Brief = "Vapour Molar Fraction in Cold Side");
49        vc                      as fraction             (Brief = "Vapour Molar Fraction in Cold Side");
50
51        Details     as Details_Main     (Brief="Heat Exchanger Details", Symbol=" ");
52        HotSide         as Main_Simplified      (Brief="Heat Exchanger Hot Side", Symbol="_{hot}");
53        ColdSide        as Main_Simplified      (Brief="Heat Exchanger Cold Side", Symbol="_{cold}");
54
55SET
56
57#"Component Molecular Weight"
58        M   = PP.MolecularWeight();
59
60EQUATIONS
61
62"Flash Calculation in Hot Side"
63        [vh, xh, yh] = PP.Flash(InletHot.T, InletHot.P, InletHot.z);
64
65"Flash Calculation in Cold Side"
66        [vc, xc, yc] = PP.Flash(InletCold.T, InletCold.P, InletCold.z);
67
68"Hot Stream Average Temperature"
69        HotSide.Properties.Average.T = 0.5*InletHot.T + 0.5*OutletHot.T;
70       
71"Cold Stream Average Temperature"
72        ColdSide.Properties.Average.T = 0.5*InletCold.T + 0.5*OutletCold.T;
73       
74"Hot Stream Average Pressure"
75        HotSide.Properties.Average.P = 0.5*InletHot.P+0.5*OutletHot.P;
76       
77"Cold Stream Average Pressure"
78        ColdSide.Properties.Average.P = 0.5*InletCold.P+0.5*OutletCold.P;
79
80"Cold Stream Wall Temperature"
81        ColdSide.Properties.Wall.Twall =   0.5*HotSide.Properties.Average.T + 0.5*ColdSide.Properties.Average.T;
82
83"Hot Stream Wall Temperature"
84        HotSide.Properties.Wall.Twall =   0.5*HotSide.Properties.Average.T + 0.5*ColdSide.Properties.Average.T;
85
86"Hot Stream Average Molecular Weight"
87        HotSide.Properties.Average.Mw = sum(M*InletHot.z);
88
89"Cold Stream Average Molecular Weight"
90        ColdSide.Properties.Average.Mw = sum(M*InletCold.z);
91
92"Cold Stream Average Heat Capacity"
93        ColdSide.Properties.Average.Cp  =       (1-InletCold.v)*PP.LiquidCp(ColdSide.Properties.Average.T,ColdSide.Properties.Average.P,xc) +
94                InletCold.v*PP.VapourCp(ColdSide.Properties.Average.T,ColdSide.Properties.Average.P,yc);
95
96"Cold Stream Average Mass Density"
97        ColdSide.Properties.Average.rho =       (1-InletCold.v)*PP.LiquidDensity(ColdSide.Properties.Average.T,ColdSide.Properties.Average.P,xc)+
98                InletCold.v*PP.VapourDensity(ColdSide.Properties.Average.T,ColdSide.Properties.Average.P,yc);
99
100"Cold Stream Inlet Mass Density"
101        ColdSide.Properties.Inlet.rho   =       (1-InletCold.v)*PP.LiquidDensity(InletCold.T,InletCold.P,xc)+
102                InletCold.v*PP.VapourDensity(InletCold.T,InletCold.P,yc);
103
104"Cold Stream Outlet Mass Density"
105        ColdSide.Properties.Outlet.rho  =       (1-OutletCold.v)*PP.LiquidDensity(OutletCold.T,OutletCold.P,OutletCold.x)+
106                OutletCold.v*PP.VapourDensity(OutletCold.T,OutletCold.P,OutletCold.y);
107
108"Cold Stream Average Viscosity"
109        ColdSide.Properties.Average.Mu  =       (1-InletCold.v)*PP.LiquidViscosity(ColdSide.Properties.Average.T,ColdSide.Properties.Average.P,xc)+
110                InletCold.v*PP.VapourViscosity(ColdSide.Properties.Average.T,ColdSide.Properties.Average.P,yc);
111
112"Cold Stream Average Conductivity"
113        ColdSide.Properties.Average.K   =       (1-InletCold.v)*PP.LiquidThermalConductivity(ColdSide.Properties.Average.T,ColdSide.Properties.Average.P,xc)+
114                InletCold.v*PP.VapourThermalConductivity(ColdSide.Properties.Average.T,ColdSide.Properties.Average.P,yc);
115
116"Cold Stream Viscosity at Wall Temperature"
117        ColdSide.Properties.Wall.Mu     =       (1-InletCold.v)*PP.LiquidViscosity(ColdSide.Properties.Wall.Twall,ColdSide.Properties.Average.P,xc)+
118                InletCold.v*PP.VapourViscosity(ColdSide.Properties.Wall.Twall,ColdSide.Properties.Average.P,yc);
119
120"Hot Stream Average Heat Capacity"
121        HotSide.Properties.Average.Cp   =       (1-InletHot.v)*PP.LiquidCp(HotSide.Properties.Average.T,HotSide.Properties.Average.P,xc) +
122                InletHot.v*PP.VapourCp(HotSide.Properties.Average.T,HotSide.Properties.Average.P,yc);
123
124"Hot Stream Average Mass Density"
125        HotSide.Properties.Average.rho =        (1-InletHot.v)*PP.LiquidDensity(HotSide.Properties.Average.T,HotSide.Properties.Average.P,xc)+
126                InletHot.v*PP.VapourDensity(HotSide.Properties.Average.T,HotSide.Properties.Average.P,yc);
127
128"Hot Stream Inlet Mass Density"
129        HotSide.Properties.Inlet.rho    =       (1-InletHot.v)*PP.LiquidDensity(InletHot.T,InletHot.P,xc)+
130                InletHot.v*PP.VapourDensity(InletHot.T,InletHot.P,yc);
131
132"Hot Stream Outlet Mass Density"
133        HotSide.Properties.Outlet.rho   =       (1-OutletHot.v)*PP.LiquidDensity(OutletHot.T,OutletHot.P,OutletHot.x)+
134                OutletHot.v*PP.VapourDensity(OutletHot.T,OutletHot.P,OutletHot.y);
135
136"Hot Stream Average Viscosity"
137        HotSide.Properties.Average.Mu   =       (1-InletHot.v)*PP.LiquidViscosity(HotSide.Properties.Average.T,HotSide.Properties.Average.P,xc)+
138                InletHot.v*PP.VapourViscosity(HotSide.Properties.Average.T,HotSide.Properties.Average.P,yc);
139
140"Hot Stream Average Conductivity"
141        HotSide.Properties.Average.K    =       (1-InletHot.v)*PP.LiquidThermalConductivity(HotSide.Properties.Average.T,HotSide.Properties.Average.P,xc)+
142                InletHot.v*PP.VapourThermalConductivity(HotSide.Properties.Average.T,HotSide.Properties.Average.P,yc);
143
144"Hot Stream Viscosity at Wall Temperature"
145        HotSide.Properties.Wall.Mu      =       (1-InletHot.v)*PP.LiquidViscosity(HotSide.Properties.Wall.Twall,HotSide.Properties.Average.P,xc)+
146                InletHot.v*PP.VapourViscosity(HotSide.Properties.Wall.Twall,HotSide.Properties.Average.P,yc);
147
148"Energy Balance Hot Stream"
149        Details.Q = InletHot.F*(InletHot.h-OutletHot.h);
150
151"Energy Balance Cold Stream"
152        Details.Q =-InletCold.F*(InletCold.h-OutletCold.h);
153
154"Flow Mass Inlet Cold Stream"
155        ColdSide.Properties.Inlet.Fw    =  sum(M*InletCold.z)*InletCold.F;
156
157"Flow Mass Outlet Cold Stream"
158        ColdSide.Properties.Outlet.Fw   =  sum(M*OutletCold.z)*OutletCold.F;
159
160"Flow Mass Inlet Hot Stream"
161        HotSide.Properties.Inlet.Fw             =  sum(M*InletHot.z)*InletHot.F;
162
163"Flow Mass Outlet Hot Stream"   
164        HotSide.Properties.Outlet.Fw    =  sum(M*OutletHot.z)*OutletHot.F;
165
166"Molar Balance Hot Stream"
167        InletHot.F  = OutletHot.F;
168       
169"Molar Balance Cold Stream"
170        InletCold.F = OutletCold.F;
171
172"Hot Stream Molar Fraction Constraint"
173        OutletHot.z             =       InletHot.z;
174       
175"Cold Stream Molar Fraction Constraint"
176        OutletCold.z    =       InletCold.z;
177       
178"Pressure Drop Hot Stream"
179        OutletHot.P  = InletHot.P - HotSide.PressureDrop.Pdrop;
180       
181"Pressure Drop Cold Stream"
182        OutletCold.P  = InletCold.P - ColdSide.PressureDrop.Pdrop;
183       
184"Fraction of Inlet Pressure : Hot Stream"
185        HotSide.PressureDrop.Pdrop  = InletHot.P*HotSide.PressureDrop.FPdrop;
186       
187"Fraction of Inlet Pressure : Cold Stream"
188        ColdSide.PressureDrop.Pdrop  = InletCold.P*ColdSide.PressureDrop.FPdrop;
189       
190end
191
192Model HeatExchanger_LMTD                as HeatExchangerSimplified_Basic
193
194ATTRIBUTES
195        Pallete         = true;
196        Icon            = "icon/HeatExchanger_LMTD";           
197        Brief           = "Heat Exchanger Block - LMTD Method";
198        Info            =
199        "to be documented.";
200       
201PARAMETERS
202
203        FlowDirection as Switcher       (Brief="Flow Direction",Valid=["counter","cocurrent"],Default="cocurrent");
204
205VARIABLES
206
207        Method as LMTD_Basic    (Brief="LMTD Method of Calculation", Symbol =" ");
208
209EQUATIONS
210
211"Exchange Surface Area"
212        Details.Q = Details.Ud*Details.A*Method.LMTD*Method.Fc;
213       
214switch FlowDirection
215       
216        case "cocurrent":
217
218"Temperature Difference at Inlet"
219        Method.DT0 = InletHot.T - InletCold.T;
220
221"Temperature Difference at Outlet"
222        Method.DTL = OutletHot.T - OutletCold.T;
223
224        case "counter":
225       
226"Temperature Difference at Inlet"
227        Method.DT0 = InletHot.T - OutletCold.T;
228
229"Temperature Difference at Outlet"
230        Method.DTL = OutletHot.T - InletCold.T;
231
232end
233
234end
235
236Model Shell_and_Tubes_LMTD      as HeatExchangerSimplified_Basic
237       
238ATTRIBUTES
239        Pallete         = true;
240        Icon            = "icon/Shell_and_Tubes_LMTD";
241        Brief           = "Shell and Tubes Heat Exchanger with 1 or 2 shell pass - LMTD Method";
242        Info            =
243        "to be documented.";
244       
245PARAMETERS
246
247LMTDcorrection as Switcher(Brief="LMTD Correction Factor Model",Valid=["Bowmann","Fakeri"],Default="Bowmann");
248ShellType                as Switcher(Brief="TEMA Designation for Shell Type",Valid=["Eshell","Fshell"],Default="Eshell");
249
250VARIABLES
251
252Method  as LMTD_Basic (Brief="LMTD Method of Calculation", Symbol =" ");
253R                       as positive             (Brief=" Capacity Ratio for LMTD Correction Fator",Lower=1e-6);
254P                       as positive             (Brief="Non - Dimensional Variable for LMTD Correction Fator ",Lower=1e-6);
255Pc                      as positive             (Brief="Non - Dimensional Variable for LMTD Correction Fator when 2 Pass Shell Side",Lower=1e-6);
256Rho             as positive             (Brief="Non - Dimensional Variable for LMTD Correction Fator in Fakeri Equation",Lower=1e-6);
257Phi     as positive             (Brief="Non - Dimensional Variable for LMTD Correction Fator in Fakeri Equation",Lower=1e-6, Symbol ="\phi");
258lambdaN as Real                 (Brief="Non - Dimensional Variable for LMTD Correction Fator in Fakeri Equation when 2 Pass Shell Side", Symbol ="\lambda _{N}");
259lambda1 as Real                 (Brief="Non - Dimensional Variable for LMTD Correction Fator in Fakeri Equationwhen 2 Pass Shell Side", Symbol ="\lambda _{1}");
260
261EQUATIONS
262
263"Exchange Surface Area"
264        Details.Q = Details.Ud*Details.A*Method.LMTD*Method.Fc;
265
266"R: Capacity Ratio for LMTD Correction Fator"
267        R*(OutletCold.T - InletCold.T ) = (InletHot.T-OutletHot.T);
268
269"P: Non - Dimensional Variable for LMTD Correction Fator"
270        P*(InletHot.T- InletCold.T)= (OutletCold.T-InletCold.T);
271       
272"Temperature Difference at Inlet"
273        Method.DT0 = InletHot.T - OutletCold.T;
274
275"Temperature Difference at Outlet"
276        Method.DTL = OutletHot.T - InletCold.T;
277
278switch ShellType
279       
280        case "Fshell":
281       
282switch LMTDcorrection
283       
284        case "Bowmann":
285       
286" Variable not in use with Bowmann equation"
287        lambdaN =1;
288       
289" Variable not in use with Bowmann equation"
290        lambda1 =1;
291
292" Variable not in use with Bowmann equation"
293        Phi = 1;
294
295" Variable not in use with Bowmann equation"
296        Rho =1;
297
298if R equal 1
299       
300        then
301       
302"Non Dimensional Variable for LMTD Correction Fator when 2 Pass Shell Side"
303        Pc*(2-P)= P;
304
305"LMTD Correction Fator when 2 Pass Shell Side"
306        Method.Fc= (sqrt(2)*Pc)/((1-Pc)*ln( abs( ( 2-Pc*0.585786)/( 2-Pc*3.414214))));
307       
308        else
309       
310"Non Dimensional Variable for LMTD Correction Fator when 2 Pass Shell Side"
311        Pc = (sqrt(abs(( 1-P*R)/(1-P)))-1)/(sqrt(abs(( 1-P*R)/(1-P)))-R);
312
313"LMTD Correction Fator when 2 Pass Shell Side"
314        Method.Fc = sqrt(R*R+1)*ln(abs((1-Pc*R)/(1-Pc)))/((1-R)*ln( abs( ( 2-Pc*(R+1-sqrt(R*R+1)))/ ( 2-Pc*(R + 1 + sqrt(R*R+1))))));
315       
316end
317
318        case "Fakeri":
319       
320" Variable not in use with Fakeri equation"
321        Pc = P;
322       
323"Non Dimensional Variable for LMTD Correction Fator in Fakeri Equation"
324        Rho*(1-P*R) = (1-P);
325
326"Non Dimensional Variable for LMTD Correction Fator in Fakeri Equation "
327        Phi = (sqrt(((InletHot.T - OutletHot.T)*(InletHot.T- OutletHot.T))+((OutletCold.T -  InletCold.T)*(OutletCold.T -  InletCold.T))))/(2*((InletHot.T + OutletHot.T)-( InletCold.T + OutletCold.T)));
328
329if Rho equal 1
330       
331        then
332       
333" Variable not in use when Rho = 1"
334        lambdaN =       1;
335       
336" Variable not in use when Rho = 1"
337        lambda1 =       1;
338       
339"LMTD Correction Fator when 2 Pass Shell Side"
340        Method.Fc = (2*Phi )/(ln(abs((1+Phi )/(1-Phi ))));
341       
342        else
343
344"Non Dimensional Variable for LMTD Correction Fator in Fakeri Equation"
345        lambdaN = (1/ln(sqrt(abs(Rho))))*((2*sqrt(abs(Rho))-2)/(sqrt(abs(Rho))+1));
346       
347"Non Dimensional Variable for LMTD Correction Fator in Fakeri Equation"
348        lambda1 = (1/ln(abs(Rho)))*((2*Rho-2)/(Rho+1));
349
350"LMTD Correction Fator when 2 Pass Shell Side"
351        Method.Fc =     ((2*Phi *(lambdaN/lambda1))/(ln(abs((1+Phi *(lambdaN/lambda1))/(1-Phi *(lambdaN/lambda1))))))*(1/lambdaN);
352
353end
354
355
356end
357
358        case "Eshell":
359       
360" Variable not in use when 1 Pass Shell Side"
361        lambdaN =1;
362
363" Variable not in use when 1 Pass Shell Side"
364        lambda1 =1;
365       
366" Variable not in use when 1 Pass Shell Side"
367        Pc = P;
368       
369switch LMTDcorrection
370       
371        case "Bowmann":
372
373" Variable not in use with Bowmann equation"
374        Phi  = 1;
375       
376" Variable not in use with Bowmann equation"
377        Rho = 1;
378
379
380 if R equal 1
381       
382    then
383       
384"LMTD Correction Fator when 1 Pass Shell Side"
385        Method.Fc = (sqrt(2)*P)/((1-P)*ln( abs( ( 2-P*0.585786)/( 2-P*3.414214))));
386
387        else
388       
389"LMTD Correction Fator when 1 Pass Shell Side"
390        Method.Fc = sqrt(R*R+1)*ln(abs((1-P*R)/(1-P)))/((1-R)*ln( abs( ( 2-P*(R+1-sqrt(R*R+1)))/ ( 2-P*(R + 1 + sqrt(R*R+1))))));
391
392end
393
394        case "Fakeri":
395
396"Non Dimensional Variable for LMTD Correction Fator in Fakeri Equation "
397        Phi  = (sqrt(((InletHot.T- OutletHot.T)*(InletHot.T- OutletHot.T))+((OutletCold.T - InletCold.T)*(OutletCold.T - InletCold.T))))/(2*((InletHot.T+ OutletHot.T)-(InletCold.T+ OutletCold.T)));
398
399"Non Dimensional Variable for LMTD Correction Fator in Fakeri Equation"
400        Rho*(1-P*R) = (1-P);
401
402if Rho equal 1
403       
404        then
405       
406"LMTD Correction Fator when 1 Pass Shell Side"
407        Method.Fc = (4*Phi)/(ln(abs((1+2*Phi)/(1-2*Phi))));
408
409        else
410
411"LMTD Correction Fator when 1 Pass Shell Side"
412        Method.Fc = (2*Phi*(Rho+1)*ln(abs(Rho)))/( ln(abs((1+2*Phi)/(1-2*Phi)))*(Rho-1));
413       
414end
415
416end
417
418       
419end
420
421end
422
423Model HeatExchanger_NTU                 as      HeatExchangerSimplified_Basic
424
425ATTRIBUTES
426        Pallete         = true;
427        Icon            = "icon/HeatExchanger_NTU";     
428        Brief           = "Heat Exchanger Block - NTU Method";
429        Info            =
430        "to be documented.";
431       
432PARAMETERS
433
434        FlowDirection as Switcher       (Brief="Flow Direction",Valid=["counter","cocurrent"],Default="cocurrent");
435
436VARIABLES
437
438Method  as NTU_Basic    (Brief="NTU Method of Calculation", Symbol =" ");
439
440EQUATIONS
441
442"Number of Units Transference"
443        Method.NTU*Method.Cmin = Details.Ud*Details.A;
444       
445"Minimum Heat Capacity"
446        Method.Cmin  = min([Method.Ch,Method.Cc]);
447
448"Maximum Heat Capacity"
449        Method.Cmax  = max([Method.Ch,Method.Cc]);
450
451"Thermal Capacity Ratio"
452        Method.Cr    = Method.Cmin/Method.Cmax;
453
454"Duty"
455        Details.Q       = Method.Eft*Method.Cmin*(InletHot.T-InletCold.T);
456
457"Hot Stream Heat Capacity"
458        Method.Ch  = InletHot.F*HotSide.Properties.Average.Cp;
459       
460"Cold Stream Heat Capacity"
461        Method.Cc = InletCold.F*ColdSide.Properties.Average.Cp;
462       
463"Effectiveness Correction"
464        Method.Eft1 = 1;
465
466if Method.Cr equal 0
467       
468        then
469       
470"Effectiveness"
471        Method.Eft = 1-exp(-Method.NTU);
472       
473        else
474
475switch  FlowDirection
476
477        case "cocurrent":
478       
479"Effectiveness in Cocurrent Flow"
480        Method.Eft = (1-exp(-Method.NTU*(1+Method.Cr)))/(1+Method.Cr);
481
482        case "counter":
483
484if Method.Cr equal 1
485       
486        then
487"Effectiveness in Counter Flow"
488        Method.Eft = Method.NTU/(1+Method.NTU);
489       
490        else
491"Effectiveness in Counter Flow"
492        Method.Eft = (1-exp(-Method.NTU*(1-Method.Cr)))/(1-Method.Cr*exp(-Method.NTU*(1-Method.Cr)));
493       
494end
495
496end
497
498
499end
500
501end
502 
503Model Shell_and_Tubes_NTU       as HeatExchangerSimplified_Basic
504
505ATTRIBUTES
506        Pallete         = true;
507        Icon            = "icon/Shell_and_Tubes_NTU";           
508        Brief           = "Shell and Tubes Heat Exchanger with 1 or 2 shell pass - NTU Method";
509        Info            =
510        "to be documented.";
511
512PARAMETERS
513
514ShellType       as Switcher (Brief="TEMA Designation",Valid=["Eshell","Fshell"],Default="Eshell");
515
516VARIABLES
517
518Method  as NTU_Basic (Brief="NTU Method of Calculation" , Symbol =" ");
519
520EQUATIONS
521
522"Number of Units Transference"
523        Method.NTU*Method.Cmin = Details.Ud*Details.A;
524       
525"Minimum Heat Capacity"
526        Method.Cmin  = min([Method.Ch,Method.Cc]);
527
528"Maximum Heat Capacity"
529        Method.Cmax  = max([Method.Ch,Method.Cc]);
530
531"Thermal Capacity Ratio"
532        Method.Cr    = Method.Cmin/Method.Cmax;
533
534"Duty"
535        Details.Q       = Method.Eft*Method.Cmin*(InletHot.T-InletCold.T);
536
537"Hot Stream Heat Capacity"
538        Method.Ch  = InletHot.F*HotSide.Properties.Average.Cp;
539       
540"Cold Stream Heat Capacity"
541        Method.Cc = InletCold.F*ColdSide.Properties.Average.Cp;
542
543switch ShellType
544       
545        case "Fshell":
546       
547"Effectiveness Correction for 2 pass shell side"
548        Method.Eft1 = 2*(1+Method.Cr+sqrt(1+Method.Cr^2)*((1+exp(-Method.NTU*sqrt(1+Method.Cr^2)))/(1-exp(-Method.NTU*sqrt(1+Method.Cr^2)))) )^-1;
549
550"TEMA F Shell Effectiveness"
551        Method.Eft = ( ((1-Method.Eft1*Method.Cr)/(1-Method.Eft1))^2 -1  )*( ((1-Method.Eft1*Method.Cr)/(1-Method.Eft1))^2 - Method.Cr )^-1;
552
553        case "Eshell":
554       
555"TEMA E Shell Effectiveness"
556        Method.Eft      = 2*(1+Method.Cr+sqrt(1+Method.Cr^2)*((1+exp(-Method.NTU*sqrt(1+Method.Cr^2)))/(1-exp(-Method.NTU*sqrt(1+Method.Cr^2)))) )^-1;
557
558"Variable not in use when 1 Pass Shell Side"
559        Method.Eft1     = 1;
560       
561end
562
563end
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