Received: 2 April 2021 Revised: 29 August 2021 Accepted: 29 July 2022 DOI: 10.1002/zamm.202100117 ORIGINAL PAPER Mixed convective Williamson nanofluid flow over a rotating disk with zero mass flux Kerehalli V. Prasad 1 Srikantha B. Setty 2 Fateh Mebarek-Oudina 3 Hanumesh Vaidya 1 Rajashekhar Choudhari 4 Isaac Lare Animasaun 5, 6 1 Department of Mathematics, Vijayanagara Sri Krishnadevaraya University, Ballari, Karnataka, India 2 Department of Mathematics, Navodaya Institute of Technology, Raichur, Karnataka, India 3 Department of Physics, Faculty of Sciences, University of 20 Août 1955, Skikda, Algeria 4 Department of Mathematics, Manipal Institute of Technology Bengaluru, Manipal Academy of Higher Education, Manipal, India 5 Fluid Dynamics and Survey Research Group, Department of Mathematical Sciences, The Federal University of Technology, Akure, PMB 704, Nigeria 6 Department of Mathematical Sciences, United Arab Emirates University, PMB 15551, Al Ain, Abu Dhabi, United Arab Emirates Correspondence Hanumesh Vaidya, Department of Mathematics, Vijayanagara Sri Krishnadevaraya University, Ballari, Karnataka 583105, India Email: hanumeshvaidya@gmail.com This analysis concentrates on mixed convective unsteady two-dimensional, vis- cous hydro-magnetic Williamson nanofluid flow with heat, and mass transport toward a stretchable rotating disk with suction/injection and joule heating. In addition, convective and zero mass flux conditions are implemented at the boundary to study the flow characteristics. The converted coupled nonlinear ordinary differential equations (ODEs) are tackled utilizing a semi-analytical technique known as Optimal Homotopy Analysis Method (OHAM). The obtained outcomes are illustrated graphically to anticipate the features of the gov- erning terms affecting the flow model. The surface skin friction, heat, and mass transport rates are deduced and discussed in detail. The validation of the present article is verified and converges to earlier published statistics. Interestingly, anal- ysis reveals that suction/injection parameter on axial and radial velocity profiles are quite the opposite and is identical in the case of thermal and concentra- tion buoyancy parameter. Furthermore, the Weissenberg number dominates the flow movement; the unsteady parameter lessens the momentum and thermal boundary layer (BL) thickness. 1 INTRODUCTION The study over flow induced by a rotating disk of non-Newtonian/Newtonian liquids gained much attention to the research community due to its numerous applications arises in the engineering and technological domain, namely computer stor- age devices, food processing, medical equipment, jet motors, rotational air cleaners, and many others. Keeping in view of such applications, Von Karman [1] scrutinized the flow behavior of Newtonian liquid over an infinite rotating disk and he proposed a new transformation to change the governing partial differential equations (PDEs) into a set of ODEs; later on, this transformation widely used to call “Von Karman similarity transformation.” Cochran [2] studied the flow pattern over a rotating disk and obtained accurate results through a numerical integration method. Batchelor [3] extended the work of Von Karman [1] and examined the rotational symmetric flow pattern. Stewartson [4] scrutinized the flow characteristic among two coaxial rotating disks. Watson et al. [5, 6] investigated unsteady viscous flow over a decelerating porous rotating disk, and solutions are obtained via convergent homotopy method. Further, Fang et al. [7] scrutinized three-dimensional Z Angew Math Mech. 2022;e202100117. © 2022 Wiley-VCH GmbH. 1 of 20 www.zamm-journal.org https://doi.org/10.1002/zamm.202100117