Modeling and numerical simulation of Maxwell nanofluid flow with heat generation and convective heating: a combined Adomian decomposition method and Mohand transform

The current research models and analyzes the behavior of an incompressible Maxwell nanofluid flowing across a porous, stretching surface within a boundary layer. Similarity transformations are applied to simplify the complex governing equations, which take into account heat generation, viscous dissipation, and convective heating, resulting in a nonlinear system of ODEs. The study then examines the influence of various physical parameters on the fluid velocity, temperature, and concentration distributions, thereby elucidating the system heat and fluid transfer characteristics. The study closely examines the effects of heat source terms and viscous forces on the development of the thermal boundary layer (BL) and how convective boundary conditions contribute to increased heat and mass transfer. The modified decomposition method (MDM) combines the Mohand transform and Adomian decomposition method (ADM) to solve complex equations numerically, yielding a convergent series solution. The key findings of this study indicate that a higher Eckert number boosts the value of the Sherwood number, whereas thermophoresis and heat generation affect heat and mass transfer in opposite ways. Also, increased Maxwell parameter values raise temperature, concentration, and boundary layer thickness due to fluid elasticity. Further, a more profound understanding of non-Newtonian nanofluid characteristics is achieved through this study, which is relevant to applications in the fields such as polymer processing, cooling systems, and energy technologies. Detailed graphical and tabular representations were used to explore the influence of diverse parameters.