Thermo-Solutal Marangoni Convection in Maxwell Nanofluid Flow Through Darcy-Forchheimer Porous Medium

This paper investigates Marangoni flow of Maxwell nanofluid in a Darcy-Forchheimer porous medium under an inclined magnetic field. The nanofluid, with variable thermal conductivity and Arrhenius activation energy, is modeled using Buongiorno’s nanofluid model. Nonlinear PDEs governing the flow are transformed into coupled ODEs via similarity transformations. The Runge-Kutta Fehlberg method is employed for numerical solutions, considering various parameters. Graphical illustrations depict the impact of these parameters on velocity, concentration, and temperature profiles. The study also analyzes local Nusselt and Sherwood numbers, revealing significant effects on heat and mass transport due to variations in the Maxwell fluid and Marangoni convection parameters, as well as the variable conductivity of nanofluid.