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Heat Transfer Research
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ISSN Imprimir: 1064-2285
ISSN En Línea: 2162-6561

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Heat Transfer Research

DOI: 10.1615/HeatTransRes.2018025932
pages 899-920

INFLUENCE OF LONGITUDINAL HEAT CONDUCTION EFFECTS IN A HEAT SINK OVER THE THERMAL CREEP IN A MICROCHANNEL: CONJUGATE HEAT TRANSFER MECHANISM

I. G. Monsivais
Departamento de Termofluidos, Facultad de Ingenieria, UNAM. México, D.F. 04510, Mexico
J. J. Lizardi
Colegio de Ciencia y Tecnologia, Universidad Autónoma de la Ciudad de México, Campus San Lorenzo Tezonco, Calle Prolongación San Isidro 151, 09790, Mexico
Federico Mendez
Departamento de Termofluidos, Facultad de Ingenieria, UNAM. México, D.F. 04510, Mexico
Faculty of Engineering

SINOPSIS

In this work, we use asymptotic and numerical techniques to analyze the conjugated heat transfer between a rarified gas flow and the lower wall of a thin horizontal microchannel exposed to a uniform heat flux, when the laminar motion of the gas is only caused by the thermal creep or transpiration effect on the lower wall of the microchannel. The surface temperature of the lower wall is unknown and must be determined as a part of the problem. Therefore, we can assume that the lower face of this heat sink with finite values of the thermal conductivity and thickness is exposed to a uniform heat flux, while the upper wall of the microchannel is subjected to a prescribed thermal boundary condition. The resulting governing equations are written in dimensionless form, assuming that the Reynolds number associated with the characteristic velocity of the thermal creep and the aspect ratio of the microchannel, are both very small. The velocity and temperature profiles of the gas phase and the temperature profile of the solid wall are determined as functions of the involved dimensionless parameters, and the predictions clearly confirm the influence of the conjugate thermal mechanism.

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