Abstract

In this paper, the Casson fluid model and the inclined magnetic field are used to analyse mathematically the energy transport of double diffusive natural convection (DDNC) in a curvilinear enclosure. The Galerkin finite element method (GFEM) is used to discretize the equations. When simulating the different ranges of Rayleigh numbers (105 ≤ Ra ≤ 108) and the heated part, we adopt isotherms and streamlines to visualize the thermal and flow fields. In addition, we study the impact of the Casson parameter on the Nusselt number along the cavity wall. The results show that the lower values of Casson fluid parameter have a significant effect on the Nusselt number in the middle of the cavity. Finally, the results are verified with the existing studies, and various parameters such as streamline, isotherm, isoconcentration contour and kinetic energy are presented in the form of graphs and tabular formats.

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