LINEAR AND QUADRATIC THERMAL RADIATION INFLUENCE ON MARANGONI CONVECTIVE FLOW OF HYBRID NANOFLUID OVER A FLAT SURFACE IN A DARCY-FORCHHEIMER POROUS MEDIUM

Abstract

This work investigates the MoS<sub>2</sub>-SiO<sub>2</sub>/water hybrid nanofluid flow over a flat surface with the aligned magnetic field. The novelty of the work is to analyze the heat transport phenomena of MoS<sub>2</sub>-SiO<sub>2</sub>/water hybrid nanofluid in a Darcy-Forchheimer porous medium with the Joule heating, suction/injection, viscous dissipation, Marangoni boundary conditions, and linear and quadratic thermal radiation. Utilizing the appropriate similarity transformations, the partial differential equations (PDEs) governing the heat transfer problem have been altered to ordinary differential equations (ODEs). The built-in function "bvp4c" in MATLAB was employed to find solution of the ODEs. The thermal equation has been solved for linear thermal radiation and quadratic thermal radiation. Plots are presented to show the influence of physical factors on the flow and the temperature field. The significant outcome of the present model is that with the quadratic thermal radiation, the frequency of heat flow is higher than in the linear thermal radiation. The velocity and temperature profile are augmented by an increment in the Marangoni ratio parameter, while the temperature profile decreases slightly after η = 1. Moreover, the temperature rises with an increment in the volume fraction of both the nanoparticles and the Eckert number. For the elevated numerical values of the Marangoni ratio parameter, the concentration of nanoparticles decreases.