Study of radiative heat and mass intensification with magnetic field for Casson and Williamson nanofluid flow model over a porous stretching sheet with higher-order chemical reaction: application of solar energy

The present work deals with a study of non-Newtonian Casson and Williamson nanofluids flow models with a linearly porous stretching sheet across convective conditions. The heat transfer phenomenon has been explored under the impacts of heat source, radiation and viscous dissipation. The higher-order chemical reaction and suction/injection are also taken into consideration. The system of nonlinear dimensionally governing PDEs are converted into dimensionless nonlinear ODEs with the use of appropriate similarity transformations. The transformed set of ODEs are numerically solved by using R–K Fehlberg approach based on shooting technique. The graphical representations for physical parameters are plotted using the in-built MATLAB solver bvp5c. Additionally, the numerical tabular values calculated for the skin friction coefficient, heat transfer rate and mass transfer rate. It is noticed that with elevated amounts of magnetic field, Brownian motion parameter, heat generation and thermal radiation, the temperature significantly increases. The velocity increases with increased thermal and mass Grashof numbers, and the reverse phenomenon exists with increasing magnetic field, porous medium and suction. The Williamson nanofluid velocity is less significant than the Casson nanofluid velocity. The concentration drops while enhancing the higher-order chemical reaction and Schmidt number. Moreover, the increment in the radiation and Biot number increases the Nusselt number.