Abstract
An analysis is carried out to study the flow and heat transfer of electrically conducting immiscible viscous fluids in a parallel vertical channel. Both fluids are incompressible and the flow is assumed to be steady, one dimensional and fully developed. Combined free and forced convection inside the channel is considered. Through proper choice of dimensionless variables, the governing equations are developed and three types of thermal boundary conditions are prescribed. These thermal boundary conditions are isothermal-isothermal, isoflux-isothermal and isothermal-isoflux for the left-right walls of the channel respectively. The basic equations are solved analytically using the regular perturbation method and numerically using Runge-Kutta-Gill method. Solutions for the velocity and temperature for the various special cases are reported. A selected set of graphical results illustrating the effects of various parameters involved in the problem on the velocity and temperature profiles as well as flow reversal situation and Nusselt number is presented and discussed.
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Acknowledgements
J. C. Umavathi is thankful to Prof. Maurizio Sasso, Supervisor and Prof. Matteo Savino co-ordinator for the financial support under the scheme of ERUSMUS MUNDUS “Featured Europe and South/south-east Asia mobility Network FUSION “for Post-Doctoral Research. Prashant Metri is also grateful to FUSION network and its Swedish node, MAM research milieu in Mathematics and Applied Mathematics, Division of Mathematics and Physics, School of Education, Culture and Communication at Mälardalen University for support and excellent research and research education environment during his visits.
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Umavathi, J.C., Metri, P.G., Silvestrov, S. (2022). Effect of Electromagnetic Field on Mixed Convection of Two Immiscible Conducting Fluids in a Vertical Channel. In: Malyarenko, A., Ni, Y., Rančić, M., Silvestrov, S. (eds) Stochastic Processes, Statistical Methods, and Engineering Mathematics . SPAS 2019. Springer Proceedings in Mathematics & Statistics, vol 408. Springer, Cham. https://doi.org/10.1007/978-3-031-17820-7_38
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