Research Article MHD Williamson Nanofluid Flow over a Stretching Sheet through a Porous Medium under Effects of Joule Heating, Nonlinear Thermal Radiation, Heat Generation/Absorption, and Chemical Reaction J. Bouslimi , 1 M. Omri, 2 R. A. Mohamed, 3 K. H. Mahmoud, 4 S. M. Abo-Dahab , 3,5 and M. S. Soliman 3 1 Department of Physics, College of Science, Taif University, P. O. Box 11099, Taif 21944, Saudi Arabia 2 Deanship of Scientific Research, King Abdulaziz University, Jeddah, Saudi Arabia 3 Mathematics Department, Faculty of Science, South Valley University, Qena 83523, Egypt 4 Department of Physics, College of Khurma University College, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia 5 Computer Science Department, Faculty of Computers and Information, Luxor University, Luxor, Egypt Correspondence should be addressed to J. Bouslimi; jamelabouiyes4@gmail.com Received 1 April 2021; Accepted 25 May 2021; Published 21 July 2021 Academic Editor: Mustafa Inc Copyright © 2021 J. Bouslimi et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. In this article, the effect of electromagnetic force with the effect of thermal radiation on the Williamson nanofluid on a stretching surface through a porous medium was studied considering the effect of both heat generation/absorption and Joule heating. On the other hand, the effect of Brownian motion and thermophoresis coefficients was considered. The system of nonlinear partial differential equations governing the study of fluid flow has transformed into a system of ordinary differential equations using similarity transformations and nondimensional variables which were subsequently solved numerically by using the Rung-Kutta fourth-order method with shooting technique. Moreover, the effect of the resulting physical parameters on the distributions of velocity, temperature, and concentration of nanoparticles has been studied by using graphical forms with an interest in providing physical meanings to each parameter. Finally, special diagrams were made to explain the study of the effect of some physical parameters on the skin friction coefficient and the local Nusselt number; these results led to reinforcement in the values of the skin friction coefficient for the increased values of the magnetic field and the Darcy number while the effect on the local Nusselt number by thermal radiation as well as the heat generation/absorption coefficients became negative. 1. Introduction In recent years, the study of non-Newtonian fluids has received the attention of researchers in the field of hydrody- namics around the world due to the enormous scientific developments in their applications. The Williamson fluid is one of the most important non-Newtonian fluids character- ized by less viscosity with an increase in the rate of shear stress and very similar in its properties of polymeric solu- tions, for example. In another meaning, in the Williamson fluid model, the effective viscosity should lessen indefinitely with the rising shear rate, which is nothing but infinite vis- cosity at stationary and nil viscosity as the shear rate tends to infinity. A model of Williamson has been discovered by Williamson [1] in 1929, while Subbarayudu et al. [2] investi- gated the assessment of time-dependent flow of Williamson fluid with radiative blood flow against a wedge. On the other hand, Lyubimova et al. [3] analyzed the stability of quasiequi- librium states and supercritical regimes of thermal vibra- tional convection of Williamson fluid in zero gravity conditions, but multiple solutions for MHD transient flow of Williamson nanofluids with convective heat transport Hindawi Advances in Mathematical Physics Volume 2021, Article ID 9950993, 16 pages https://doi.org/10.1155/2021/9950993