On the radiative heat transport phenomena in MHD Williamson nanofluid flow past an expanding surface with an interaction of inclined magnetic field

The current investigation reveals the magnetohydrodynamic flow of Williamson nanofluid past an extending surface surrounded by the porous medium. The inclined magnetic field is proposed with an angle to the axial direction of the flow. However, the flow phenomena are characterized by the conjunction of radiating heat and additional heat source/sink. The novelty arises from the conjunction of the cross-diffusion effect that reflects the performance of the Brownian and thermophoresis. The model designed with the aforesaid phenomena is transformed to a nonlinear ordinary form by the suitable assumption of similarity transformation. Furthermore, these sets of equations are handled by a numerical approach applying Runge-Kutta accompanied by the shooting technique. The parametric behavior of several components for their statistical values is presented graphically and numerical simulations for the rate coefficients are presented in tabular form. The validation and the conformity of the present outcome are obtained with the earlier investigation in a particular case. Further, the important outcomes of the study are: The non-Newtonian Williamson parameter in association with the magnetization property attenuates the fluid velocity, whereas reverse impact is encountered in the case of temperature distribution.

Automated summary

The magnetohydrodynamic flow of Williamson nanofluid past an extending surface surrounded by a porous medium is investigated. The flow phenomena are characterized by the conjunction of radiating heat and additional heat source/sink. The novelty of this study lies in the combination of cross-diffusion effects and the performance of Brownian and thermophoresis.