Thermal-diffusion and diffusion-thermo effects on heat and mass transfer in chemically reacting MHD Casson nanofluid with viscous dissipation. (English) Zbl 1466.65053
Summary: In this paper, we examined the combined effects of dissipation and chemical reaction in Casson nanofluid motion through a vertical porous plate subjected to the magnetic field effect placed perpendicular to the flow channel. The physical problem is modeled using partial differential equations (PDEs). These sets of PDEs, with suitable similarity transformations, are simplified into ordinary differential equations (ODEs). Collocation technique with legendary basis function is utilized in solving the transformed equations. The numerical analysis on velocity, concentration, and temperature are plotted and tabled for different flow parameters. Our findings show that by raising the Casson parameter close to infinity, the behavior of Casson fluid obeys the law of viscosity. Conversion of energy via the work done by the fluid molecules, influences both dimensionless velocity and temperature profiles significantly, while the mass flux hikes the concentration profile. The heat generated by the intermolecular reaction of fluid particles resulted in a large amount of heat produced in the flow field.
MSC:
| 65L60 | Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations |
| 76A05 | Non-Newtonian fluids |
| 76M55 | Dimensional analysis and similarity applied to problems in fluid mechanics |
| 76W05 | Magnetohydrodynamics and electrohydrodynamics |
Keywords:
Casson nanofluid; thermal-diffusion; diffusion-thermo; collocation method; legendary polynomialReferences:
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