This study presents a two-phase revised model for the magnetically enhanced nanofluid flow over a nonlinearly shrinking sheet, incorporating the effects of nonlinear thermal radiation and viscous dissipation. The analysis considers both the base fluid and nanoparticles as distinct phases, accounting for their interactions to enhance heat transfer characteristics. Using similarity transformations, the controlling PDEs are converted into a system of ODEs that are numerically solved. The impact of key physical parameters, including magnetic intensity, thermal radiation, and viscous dissipation on flow velocity and temperature distributions is thoroughly examined. Results indicate that increasing nonlinear thermal radiation enhances heat transfer, while viscous dissipation contributes to temperature rise, affecting the stability of the boundary layer. The findings offer valuable insights into industrial applications such as thermal coatings, cooling systems, and nanofluid-based energy transport.
Mekala et al. (Fri,) studied this question.