NON-SIMILAR MIXED CONVECTION ANALYSIS FOR MAGNETIC FLOW OF WILLIAMSON NANOFLUID OVER VERTICALLY STRETCHING SURFACE SUBJECTED TO VISCOUS DISSIPATION, POROUS MEDIA, AND HEAT SOURCE/SINK

Abstract

The intention of this study is to explore the impact of non-similar modeling on mixed convective Williamson magnetized nanofluid flow over a vertically placed stretching surface with the consideration of engine oil as the base fluid and molybdenum disulfide (MoS<sub>2</sub>) as nanoparticles. The features of viscous dissipation, Darcy resistance, and heat source factor are also incorporated to examine the thermal prospective. The considered flow phenomenon is designated in the form of governing partial differential equations (PDEs) by employing the concepts of Boussinesq approximations and the boundary layer approach. By introducing non-similar transformations, the governing system is redesigned into dimensionless, non-similar, nonlinear PDEs. The dimensionless, non-similar framework is examined analytically by implementing local non-similarity and then stimulated numerically via bvp4c to explore the impacts of vital parameters on velocity and temperature distribution. The velocity distribution, temperature field, local Nusselt number, and drag force are elaborated through graphs and tables by altering the inputs of emerging parameters. The computations illustrate that the escalating inputs of the magnetic field and porosity parameter appear as the hindering factors against flow velocity. It is also discovered that with the rising estimations of nanoparticles, volume fraction leads an enhancement in the temperature distribution and decline in velocity profile. Furthermore, in a restricted case, the validity of results is found to be in good agreement with the published literature. A suitable range of stable solutions is obtained for emerging parameters. To the best of our knowledge, it is the first time that the non-similar analysis for the considered problem is reported. This work is anticipated to offer crucial data for the development of novel heat transfer devices in the future and serve as an incredible resource for the researchers studying nanofluid flows under various assumptions.