Metodos de Transferencia de Calor en Flujo Bidireccional Por Conducción

República Bolivariana de Venezuela Venezuela Ministerio del Poder Popular para la Educación Universitaria Instituto Universitario Politécnico Santiago Mariño Maturn ! Monagas

Métodos de Transferencia de Calor en Flujo Bidireccional por Conducción Pro"esor#

Realizado por#

Luis Castillo

Ninoska Jiménez

$ctubre %&'(

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Conducción de Calor Bidireccional   Es la forma que transmite el calor en cuerpos sólidos, se calienta un cuerpo, las moléculas que reciben directamente el calor aumenta su vibración y chocan con las que rodean; estas a su vez hacen lo mismo con sus vecinas hasta que todas las moléculas del cuerpo se agitan, por esta razón, si el extremo de una varilla metálica se calienta una ama, transcurre cierto tiempo para el calor llegue a otro extremo extremo

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Transferencia de Calor por Conducción en Cerramientos Heterogéneos En el supuesto de un cerramiento heterogéneo, que combine transmisión de calor por capas en serie y por secciones en paralelo, podrá ocurrir que las temperatura interiores de las diferentes secciones a cierta profundidad di!eran, generando transmisiones de calor bidireccionales que complican enormemente su cálculo, siendo preciso recurrir a métodos numéricos de gran comple"idad, como los de elementos !nitos, que exceden a este traba"o #e llama especialmente la atención al caso que se considere la capa l$mite de la convección como una capa en serie que aporta su resistencia super!cial a la resistencia total del cerramiento, originando en las áreas del cerramiento con diferentes conductancias, también llamadas

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Métodos de Transferencia de Calor por Conducción %nal$tico&

'mplica obtener una solución exacta de la ecuación()*

+rá!co&

roporciona solo resultados aproximados en puntos

discretos -umérico

(de diferencias !nitas, de elemento !nito o de elemento de frontera* #e utiliza utili za para obtener resultados extremadamente precisos en cuanto a geometr$as comple"as

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Método Analítico Este método permitirá encontrar la distribución de temperatura resolviendo la ecuación de conducción de calor en los dos e"es coordenados Esta es una ecuación de tipo lineal homogénea parcial #i la ecuación es valida para T , también los es para una C•T  .onde a, b, c, d, son condiciones de frontera %l solucionar esta ecuación se encuentran

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El método anal$tico que se aplica a la solución se llama #E%0%1'2#E%0%1'2- .E 3%0'%45E# %0'%45E#

#olución queda acotada entre cero(6* y uno()* E7E859& #e tiene un sólido con las siguientes condiciones de frontera&

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Método Gráco El principio básico de la solución por este método es que las l$neas isotermas son perpendiculares a las l$neas de u"o de calor en un punto espec$!co .e esta manera, se toma el elemento de análisis y se trata de dibu"ar sobre él un sistema de cuadrados curvil$neos compuesta por l$neas de u"o de calor y l$neas isotermas

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Metodología ) 'denti!car l$neas l$neas de simetr$a simetr$a en la ransfer ransferencia encia de 1alor 1alor  'ntentar 'ntentar dibu"ar dibu"ar las l$neas l$neas de temperat temperatura ura constante constante dentr dentro o del sistema, buscando que sean perpendiculares a las l$neas

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%eterminación de la Transferencia de Calor 5a manera en que se aprovecha una grá!ca de u"o para obtener la transferencia en un sistema bidimensional es evidente seg?n se muestra en la ecuación&

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Método (umérico

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