Heat and mass transfer in MHD Casson nanofluid with Joule heating and chemical reaction through a Darcy–Forchheimer porous medium

The interaction of magnetohydrodynamic effects with non-Newtonian Casson fluid dynamics on a porous vertical surface enables several research fields and practical applications. This is a fascinating topic in fluid mechanics, with applications in various fields such as engineering, astrophysics, and biomedical sciences. This motivation encourages a discussion about the magnetohydrodynamic flow of a non-Newtonian Casson nanofluid as it flows over an oscillating porous vertical plate. The Darcy-Forchheimer concept is used along with the nanofluid fluid that is moving in a porous medium on an oscillating surface. The study of heat transport involving Buongiorno’s nanofluid model and Joule heating has applications in cooling systems, heat exchangers, thermal management in automotive applications, and biomedical engineering. Inspired by these applications, the solutal and thermal transport is examined with the help of chemical reactions and Joule heating. The current model is novel because it takes into account Casson fluid rheology, Joule heating, magnetic field effects, chemical reaction, and porous medium resistance all together within a single computational framework. The determining equations are translated by using dimensionless parameters. The resultant dimensionless partial differential equations are cracked numerically by considering the Crank-Nicolson technique. The mass and heat transfer problems can be accurately and robustly simulated with the help of the Crank-Nicolson method. The discretized equations by using the Crank-Nicolson method are then numerically solved on Matlab software, and the thermal, velocity, and solutal profiles of the system are visualised. The achieved results show that the flow velocity drops by intensifying the inputs of the Casson fluid parameter, Forchheimer number, and magnetic parameter. Additionally, the temperature distribution upsurges with the thermophoresis parameter, Eckert number and magnetic parameter, while a decline in temperature is observed by producing the inputs of the Prandtl number. The fluid’s concentration drops with rising values of the Schmidt number and Brownian motion parameter, and the opposite trend is noted due to the thermophoresis parameter.