Heat Generation/Absorption Effect on Mixed Convection Flow in A Vertical Channel Filled with A Nanofluid: Exact Solution

Abstract

Michael O. Oni and Basant K. Jha

An exact solution to discuss the role of heat source/sink on mixed convection flow in a vertical channel filled with nanofluid is presented in this article. The governing momentum, energy and concentration equations are presented and the effects of Brownian’s motion, thermophoresis as well as buoyancy-ratio distributions are accounted for. Using the constant heat source/sink (CHSS) and temperature dependent heat source/sink mathematical models (TDHSS), exact solutions are obtained for dimensionless temperature, nanoparticle volume fraction, velocity, Nusselt number, Sher- wood number as well as skin-friction. It is established that CHSS case transfers more heat compared to the TDHSS.

Relevance of the work

In this article, theoretical investigation on role of various forms of heat source on flow formation and heat transfer of mixed convection flow is extensively discussed. The findings in this article have significant application in cooling of micro-electronic equipment devices and heat sink.

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