Numerical analysis of thermosolutal Marangoni convection, and non-linear heat generation flow of chemically reactive nanofluid through Darcy-Forchheimer media

The prime incentive of this exploration is to study the impacts of magnetohydrodynamics (MHD), heat generation, and thermal radiation on Darcy-Forchheimer (DF) nanofluid flow having thermosolutal Marangoni convection over the extending surface. The impact of chemical reaction is also investigated in the present work. A transformation is applied which turns the leading equations into ordinary differential equations (ODEs). To acquire the numerical results, these ODEs are solved by MATLAB bvp4c, a built-in function. The rate of heat transfer, temperature, and velocity of the working fluid is calculated over the sheet. The consequence of many different parameters without dimensions on the temperature, concentration, and velocity profiles are explored through diagrams and thoroughly examined. These factors include the thermophoresis coefficient, Marangoni, Darcy, and Schmidt number, thermal radiation parameter, Prandtl number, and Brownian coefficient. It is observed that the exponential index number, which is generally due to the nonlinear heat source parameter, has an inverse relation with the rate of heat transfer. Also, the velocity decreases when the local inertia coefficient and Hartman number are increased.