Analysis of Chemically Radiative Casson Nanofluid Flow over a Porous Nonlinear Stretching Sheet using the Buongiorno Model: HAM-Based Solutions

Casson nanofluid flow has drawn substantial interest due to its industrial uses, including textile industry, paints and coatings biomedical application, drilling muds, cement slurries, tissue engineering, etc. In this article, we analyse the chemically radiative Casson fluid model across a porous sheet undergoing nonlinear stretching. It evaluates the implications regarding heat generation along with viscous dissipation. The scientific nanofluid framework laid out by Buongiorno has been exploited. Through employing the proper similarity transformations, the partial differential equations which illustrate the phenomena could be transfigured into ordinary differential equations. The Homotopy Analysis Method (HAM), a semi-analytical technique intermittently exploited across diverse scientific and technical domains to address nonlinear ordinary and partial differential equations, is endorsed to analyze the simplified equations. Calculations are executed to ascertain the numerical solutions related to temperature, concentration, and velocity fields, accompanied by the skin friction coefficient, local Nusselt number, and local Sherwood number. Visualizations of interpretations are accompanied by pertinent explanations grounded in scientific principles. The temperature distribution has been enhanced due to radiative and viscous dissipation characteristics. Additionally, it has been noted that a delay in fluid movement results from an improvement in the porous medium parameter and magnetic field values. It has been discovered that the Nusselt number is exhibiting a downward trend as the porous medium parameter and thermophoresis parameter increase. The current numerical results have been effectively validated against previous difficulties.