Nanofluid dissipative Reiner-Philippoff model with thermal radiation: numerical investigation using the modified Adomian decomposition method associated with Mohand transforms

Abstract

Abstract The flow of nanofluids over a stretched sheet situated within a porous medium is the main subject of this work. The Reiner-Philippoff model, which includes a magnetic field, chemical reaction, thermal radiation, viscous dissipation, and variable thermal conductivity, is examined. The study investigates how these complex processes affect the system’s heat transfer characteristics and flow dynamics. A system of partial differential equations describes the physical model. We arrive at a system of ordinary differential equations that, due to its highly nonlinear nature, requires numerical treatment by employing the proper similarity transformations. The governing equations are solved numerically, namely by combining the Mohand transform and the Adomian decomposition method. For computer-based solutions, complicated equations are simplified using the sophisticated Modified Decomposition Method (MDM). To guarantee convergence, it combines the Mohand transform with Adomian decomposition methods, yielding a series solution that almost matches the precise solution to the issue.