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

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. [ABSTRACT FROM AUTHOR]