Abstract
This paper studies heat transfer in a two-dimensional magnetohydrodynamic viscous incompressible flow in convergent/divergent channels. The temperature profile was obtained numerically for both cases of convergent/divergent channels. It was found that the temperature profile increases with an increase in Reynold number, Prandtl number, Nusselt number and angle of the wall but decreases with an increase in Hartmann number. A relatively new numerical method called the spectral homotopy analysis method (SHAM) was used to solve the governing non-linear differential equations. The SHAM 3rd order results matched with the DTM and shooting, showing that SHAM is feasible as a technique to be used.
Highlights
In recent years, the study of fluid flow and associated heat transfer phenomena has received increased attention from researchers and scientists due to many applications in industry and related areas
Viscous incompressible flow through a converging/diverging channel is commonly known as Jeffery-Hamel flow [1,2].This is an essential type of flow in the field of fluid mechanics
We study heat transfer effects associated with MHD Jeffery-Hamel flow
Summary
The study of fluid flow and associated heat transfer phenomena has received increased attention from researchers and scientists due to many applications in industry and related areas. Viscous incompressible flow through a converging/diverging channel is commonly known as Jeffery-Hamel flow [1,2].This is an essential type of flow in the field of fluid mechanics. Applications of these types of flows include flow through rivers, different engineering processes and in the field of biology [2]. Heat transfer effects in MHD Jeffery-Hamel flow were analyzed by using spectral homotopy analysis method. Motsa et al [12] used the spectral homotopy analysis method (SHAM) to solve the MHD Jeffery. We study heat transfer effects associated with MHD Jeffery-Hamel flow. An accurate solution from the proposed method could be a stepping stone to establishing mathematical formulations to describe various microfluidic devices
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