Thermal optimization of C2H6O2-MoS2 nanofluid flow over a slippery surface: effects of temperature-dependent viscosity and Darcy-Forchheimer drag

The current homotopy analysis offers in-depth insights into the behavior of viscoelastic hydromagnetic nanofluids across an elongated surface, emphasizing the crucial role of temperature-dependent viscosity (TDV) and uniform heat sources. The rationale for investigating heat source effects stems from the necessity to enhance thermal management in industrial applications where viscoelastic fluids with TDV are utilized. Thus, this study explores the optimization and homotopy analysis of viscoelastic Darcy-Forchheimer hydromagnetic nanofluid transport over a deformation slippery surface, focusing on C2H6O2-MoS2 nanofluid. The fluid dynamics are scrutinized under the influence of radiative heat flux, heat generation, and convective thermal surface boundary conditions using RSM in conjunction with CCD. Similarity transformations convert the complicated nonlinear partial differential equations, characterizing the viscoelastic movement of nanofluid and thermal behavior into a system of ordinary differential equations. The accuracy and convergence of the findings are guaranteed by applying HAM to obtain semi-analytical solutions. The study examines the impacts of Darcy-Forchheimer drag and TDV on fluid flow and thermal properties. Incorporating TDV markedly influences the flow and heat transfer rates, improving thermal performance. The uniform heat source enhances the thermal boundary layer, optimizing the heat transfer. An optimization analysis using RSM-CCD determines the optimal parameter settings for maximizing the response function. The results have important ramifications for increasing thermal system performance in industrial and technical settings. This investigation holds significant relevance for thermal management systems, including electronics cooling, industrial machinery, polymer processing, heat exchangers, and biomedical devices. It offers precise control over fluid flow and heat transfer, making it particularly beneficial for applications requiring efficient thermal performance and accurate drug delivery.