Heat Transfer Analysis in Reiner-Philippoff Fluid via Finite Element Approach

N. Jabbara, W. Sumelkaa, U. Nazirb aInstitute of Structural Analysis, Poznan University of Technology, 61-138 Poznań, Poland bDepartment of Mathematics, Faculty of Science, KhonKaen University, KhonKaen 40002, Thailand

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In this article, we discuss the increase in Reiner-Philippoff liquid thermal energy and mass transfer through a perpendicular plane in the presence of the magnetizing field. Characterizations regarding mass dissipation and heat energy are improved using non-Fourier's analysis with the existence of a thermal source. Three kinds of nanoparticles, i.e., titanium dioxide, silicon dioxide, and aluminum oxide, are introduced in engine lubricants to create thermal energy. Darcy-Forchheimer analysis is adopted to examine the effects of flow and thermal energy. Furthermore, the Dufour and Soret effects are also discussed. A developing model is converted into a system of ordinary differential equations using similarity variables and solved using the finite element method. It is observed that the heat energy of the fluid increased as opposed to a higher rate of time relaxation number. Moreover, the fluid concentration declined as opposed to changes in the Schmidt number and chemical reaction parameters.

DOI:10.12693/APhysPolA.145.256 topics: porous media, non-Newtonian fluid, Cattaneo-Christov heat flux model, heat source