2 Taller Columna de destilacin binaria

2 Taller Columna de destilacin binariaIntegrantes:Mirko Gonzlez R.Scarlett Herrera H.Silvia Neira C.Asignatura: Simulacin Dinmica De Procesos Fecha: 30 de Mayo del 2014

Bases

Para un plato n- Ecuacin de continuidad total.

-Una ecuacin de continuidad del componente ms voltil.

(5.29)(5.30)

Bases

Para un plato n- Equilibrio de estados.

- Rebalse.

(5.32)(5.31)

BasesPara el plato de alimentacin- Ecuacin de continuidad total.

-Una ecuacin de continuidad del componente ms voltil.

BasesPara el plato de alimentacin- Equilibrio de estados.

- Rebalse.

BasesPara la base-rehervidor- Ecuacin de continuidad:

- Ecuacin de continuidad por componente

BasesPara la base-rehervidor- Equilibrio de estados.

-Controlador de retroalimentacin

BasesPara el tanque de reflujo- Ecuacin de continuidad

- Ecuacin de continuidad por componente

BasesPara el tanque de reflujo

- Controlador de retroalimentacin

SuposicionesSistema Binario.100% eficiente.Volatilidad relativa constante.El contenido del tambor est perfectamente mezclado con composicin xD.Se desprecian los tiempos muertos en la lnea de vapor.Los lquidos en el caldern y en la base de la columna estn perfectamente mezclados entre s y tienen la misma composicin xB y el total de MB.

SuposicionesEl lquido en cada plato est perfectamente mezclado con la composicin Xn.El nivel del vapor es despreciable en todo el sistema.Desbordamiento equimolal.Las prdidas de calor a travs de la columna y los cambios de temperatura entre plato y plato son despreciables.Dinmica del condensador y del rehervidor son despreciables.No hay reaccin qumica en la columna.Una relacin funcional simple entre almacenamiento del lquido y la velocidad de lquido.

(3.79)Consistencia matemticaNmero de variables:Composicin en los platos (xa,ya)=2NTFlujo de lquido en los platos (Ln)=NTRetencin de lquido en los platos (M)=NTComposicin en el tambor de reflujo (xD)=1Flujo del tambor de reflujo(R,D)=2Retencin en el tambor de reflujo (MD)=1Composicin en la base (xB,yB)=2Flujo de la base (V,B)=2Retencin en la base (MB)=14NT + 9Nmero de ecuaciones:Ec. de continuidad total en:Platos= NTTambor de reflujo= 1Base= 1Ec. de continuidad por componente enPlatos= NTTambor de reflujo= 1Base= 1Ec.de equilibrio (platos y base)= NT+1Ec. Hidrulica= NTControladores de nivel= 24NT + 7

Resolucin Matemtica En cada instante de tiempo se sabe el nivel Mn y la composicin lquida Xn. Se realiza la simulacin en Visual Basic:

1) Calcular la composicin de vapor en todos los platos a partir de la ecuacin 5.31

2) Calcular las velocidades de flujo del lquido desde la ecuacin 5.32

3) Evaluar las derivadas. Estas son el lado derecho de las ecuaciones5.29 y 5.30, aplicndolas para todos los platos

4)Integrar todas las ODEs con Euler, y comenzar de nuevo en el paso 1VerificacinTIEMPOXB'X10'XD'R'V'00,020000,479380,98000128,01178,010,50,020140,513250,98000128,01178,1610,021070,524340,98010127,91179,311,50,022170,530300,98034127,64181,0620,022750,532290,98061127,33182,652,50,022680,531390,98076127,11183,6930,022120,528760,98077127,02184,103,50,021320,525570,98065127,07183,9940,020510,522800,98047127,19183,554,50,019870,521080,98030127,32182,9850,019500,520570,98018127,42182,475,50,019390,521060,98014127,45182,1460,019500,522110,98016127,41182,026,50,019720,523210,98022127,33182,0870,019950,524010,98029127,24182,257,50,020120,524340,98034127,15182,4380,020190,524220,98036127,09182,568,50,020160,523810,98035127,07182,6190,020070,523310,98032127,07182,579,50,019970,522890,98028127,08182,47TIEMPOXBX10XDRV00,020,476880,98128,01178,010,50,020140,513250,98128,01178,1610,021080,524340,9801127,9179,321,50,022180,53030,98035127,64181,0820,022760,532290,98061127,33182,672,50,022680,531410,98076127,11183,6930,022120,528790,98077127,02184,13,50,021320,52560,98065127,06183,9940,020510,522820,98048127,18183,554,50,019870,521080,9803127,32182,9850,01950,520560,98019127,41182,475,50,019390,521040,98014127,44182,1360,01950,522070,98016127,41182,016,50,019720,523180,98022127,33182,0770,019950,523990,98029127,24182,247,50,020120,524330,98034127,15182,4380,020190,524230,98036127,09182,568,50,020160,523820,98035127,07182,690,020070,523320,98032127,06182,579,50,019970,52290,98028127,07182,47Visual BasicFortranVerificacinTIEMPOXBX10XDRV00,000000,002500,000000,000000,000000,50,000000,000000,00000-0,00436-0,001581-0,000010,000000,000000,00575-0,012721,5-0,000010,00000-0,000010,00012-0,016082-0,000010,000000,000000,00124-0,016462,50,00000-0,000020,00000-0,00337-0,0029430,00000-0,000030,000000,00182-0,002013,50,00000-0,000030,000000,00609-0,0009440,00000-0,00002-0,000010,00746-0,003944,50,000000,000000,000000,00180-0,0009650,000000,00001-0,000010,00700-0,000425,50,000000,000020,000000,006580,0051160,000000,000040,000000,001150,005136,50,000000,000030,000000,001240,0081970,000000,000020,00000-0,004180,006707,50,000000,000010,000000,001330,0012980,00000-0,000010,000000,004190,002028,50,00000-0,000010,00000-0,001520,0056090,00000-0,000010,000000,00798-0,004339,50,00000-0,000010,000000,010630,00113Diferencia

Verificacin

Verificacin

Verificacin

Verificacin

Verificacin

Grfico4128.01128.01128.0056400879128.01127.9057483313127.9127.6401247725127.64127.3312354281127.33127.1066256087127.11127.0218213637127.02127.0660857529127.06127.1874626342127.18127.3217958725127.32127.4169993096127.41127.4465760733127.44127.4111468514127.41127.3312412946127.33127.2358210352127.24127.1513330125127.15127.0941850131127.09127.0684813468127.07127.0679771971127.06127.0806326627127.07

R'RtiempoR, R'Comparacin entre R y R'

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