Soluciones Analíticas y Numéricas para un Problema de Transferencia de Calor en Materiales Bicapa
DOI:
https://doi.org/10.70567/mc.v41i21.113Palabras clave:
Transferencia de calor, Materiales compuestos, Resistencia térmicaResumen
Este artículo presenta un análisis teórico de un problema de transferencia de calor unidimensional en un material bicapa con difusión, advección, generación o pérdida de calor interna linealmente dependiente de la temperatura en cada capa, y generación de calor debido a fuentes externas. Además, se considera la resistencia térmica ofrecida por la interfaz entre los materiales. La situación de interés se modela matemáticamente, se encuentran soluciones analíticas explícitas utilizando técnicas de Fourier, y se formula un esquema de diferencias finitas convergente para simular casos particulares. La solución es coherente con resultados previos. Se incluye un ejemplo numérico que muestra coherencia entre los resultados obtenidos y la física del problema. Las conclusiones extraídas en este trabajo amplían la comprensión teórica de la transferencia de calor en materiales bicapa y también pueden contribuir a mejorar el diseño térmico de sistemas de ingeniería multicapa.
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