An investigation of inclined magnetic field on viscous dissipation, Joule heating and thermal diffusion of Casson-hybrid nanofluid over magnetized porous surfaces: Simulation using RSM

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Abstract

Hybrid nanofluids have been utilized in an assortment of thermal engineering applications, that include heat exchangers, materials science research, and industrial domains like solar through collectors, food processing, and aerospace engineering. The examination of the hydrodynamic and thermal behavior of a Casson hybrid nanofluid in a porous medium subjected to a bilinear stretching surface is the ultimate objective of this study. The effects of thermal radiation, chemical reactions, volumetric heat source/sink, Joule heating and viscous dissipation are all included in the mathematical model. When a magnetic field with inclination is present, the fluid is electrically conducting. By means of similarity transformations, the governing nonlinear coupled partial differential equations (PDEs) which characterize the flow phenomena are transformed into a system of coupled ordinary differential equations (ODEs). The MATLAB bvp4c solver in conjunction with a shooting technique yields numerical solutions. The outcomes, which show how different dimensionless parameters affect the flow field, temperature distribution, and concentration profiles, are displayed both graphically and tabularly. The skin friction coefficient, Sherwood number, and Nusselt number at the stretching surface are among the derived quantities that are calculated and examined. In particular, the momentum boundary layer thickness decreases as the Casson parameter increases. On the other hand, fluid velocity decreases and fluid temperature rise when the magnetic parameter is increased. As the values of thermal radiation, heat source, Dufour effect, inclination parameter, Casson parameter, the width of thermal layer. Through an average of 99.87% statistical analysis employing adjusted R-squared and R-squared metrics demonstrates a high degree of model fitting the model for the skin friction coefficient. Nusselt number is more sensitive to thermal parameters differing with Dufour effect. The implementation of response surface methodology and a thorough investigation of the intricate relationships between the magnetic field, Casson fluid behavior, and medium porosity are two significant improvements.

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