Abstract
The flowing of nanomolecules in Williamson nanoliquids via a stretched sheet has a sig-nificant influence, and its demand in the manufacturing, therapeutic disciplines, medication, and cooking supplies is enormous and frequently reported. However, 2-dimensional (2-D) combined convective flowing of Williamson-dusty nanofluid (WDNF) via a stretchable sheet in the presence of a magneto force and the porous medium remains unidentified. Hence, this report inspects the combined influence of Brownian and thermophoretic diffusion preserved in magneto WDNF mod-eling in the occurrence of radiative flowing. The Runge-Kutta Fehlberg approach (RKFA) is used to numerically study the problem of an ordinary differential system employing shooting techniques. The table also addresses the frictional force factor, heat, and mass transmission rate, as well as val-idates the current findings with earlier available results in the scheduled manner. The acquired out-comes demonstrate that a larger magnetic field decreases the rapidity and thickening of the impetus boundary layer of nanofluids. The momentum dust parameter and the fluid interaction parameter are shown to enhance the heat transmission rate. The rapidity and temperature fields of the liquid and dusty phases improved as the radiation parameter was raised on the contrary of magnetism force which causes dwindling in two phases. Consequently, the examined model's heat transference is reduced in the opposite direction of the Weissenberg number by the magnetic force. Additionally, it is found that higher thermophoresis parameters show an increasing trend in temperature for both phases.(c) 2023 The Author(s). Published by Elsevier B.V. on behalf of King Saud University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).