Research Article MHDMixedConvectionNanofluidFlowoverConvectivelyHeated Nonlinear due to an Extending Surface with Soret Effect Jamel Bouslimi, 1 M. A. Abdelhafez , 2 A. M. Abd-Alla, 2 S. M. Abo-Dahab , 3,4 and K. H. Mahmoud 5 1 Department of Physics, College of Science, Taif University, P. O. Box 11099, Taif 21944, Saudi Arabia 2 Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt 3 Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, Egypt 4 Department of Computer Science, Faculty of Computers and Information, Luxor University, Egypt 5 Department of Physics, College of Khurma University College, Taif University, P. O. Box 11099, Taif 21944, Saudi Arabia Correspondence should be addressed to M. A. Abdelhafez; mostafa.abdallah@yahoo.com Received 15 February 2021; Revised 15 March 2021; Accepted 12 April 2021; Published 28 April 2021 Academic Editor: Abdel-Haleem Abdel-Aty Copyright©2021JamelBouslimietal.isisanopenaccessarticledistributedundertheCreativeCommonsAttributionLicense, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. e aim of this paper is to investigate the flow of MHD mixed convection nanofluid flow under nonlinear heated due to an extending surface. e transfer of heat in nanofluid subject to a magnetic field and boundary conditions of convective is studied to obtain the physical meaning of the convection phenomenon. e governing partial differential equations (PDEs) of the boundary layer are reduced to ordinary differential equations (ODEs) considering a technique of the transformation of similarity. e transformed equations are solved numerically considering the technique of an efficient numerical shooting applying the Runge–Kutta technique scheme from the fourth-fifth order. e results corresponding to the dimensionless speed, temperature, concentration profiles, and the Nusselt number reduced, and the Sherwood numbers are presented by figures to display the physical meaning of the phenomena. A comparison has been made between the obtained results with the previous results obtained by others and agrees with them if the new parameters vanish. e results obtained indicate the impacts of the nondimensional governing parameters, namely, magnetic field parameter M, Soret number Sr, heat source λ, thermal buoyancy parameterλ T , and solutal buoyancy parameterλ C on the flow, temperature, and concentration profiles being discussed and presented graphically. 1. Introduction Nanofluids are suspended particles of the fluid. ey have particles with a nanometer size, and they have a less uniform dispersion in the rigid particles. Nanofluids have crucial usages in science and technology, marine engineering, and applications in the field of industry such as plastic, polymer industries, cancer home therapy, and building sciences. ey flow through transferring vertical plane plate also having enormous applications in the field of aerosols engineering, aerodynamics, and civil engineering and because of this reason, the researchers are likely to investigate this field. Nonlinear warm air radiation and chemical reaction effects on MHD 3D Casson fluid movement in the porous medium were considered by Sulochana et al. [1]. Wahiduzzaman et al. [2] investigated MHD Casson fluid movement going through a nonisothermal porous linearly stretching sheet. Ramreddy et al. [3] analyzed the Soret effect on mixed convection flow in a nanofluid under convective boundary condition radiation and the Soret effects of MHD nanofluid moving freely from a moving vertical moving plate in the porous medium were discussed by Raju et al. [4]. e mixed convective flow of Maxwell nanofluid goes beyond an ab- sorbent vertical stretched surface. An optimal solution is considered by Ramzan et al. [5]. Stagnation electrical MHD nanofluid varied convection with slip boundary on a stretching sheet was discussed by Hsiao [6]. Rafique et al. [7] have obtained the numerical solution of casson nanofluid streams over a nonlinear sloping surface through Soret and Dufour effects by the Keller–Box method. Mkhatshwa et al. [8] investigated the MHD mixed convective nanofluid flow about a vertical thin cylinder using the interfering Hindawi Complexity Volume 2021, Article ID 5592024, 20 pages https://doi.org/10.1155/2021/5592024