Nanofluids have recently gained prominence as advanced working fluids in thermal management and fluid dynamics. Detailed assessment of their thermophysical properties particularly shape effect under thermal radiation is crucial for evaluating heat transfer efficiency of channel flow. This study presents a novel analytical and statistical approach for analyzing and optimizing the unsteady magnetohydrodynamic (MHD) two-dimensional Al₂O₃–water nanofluid flow through a semi-porous channel with expanding and contracting walls, focusing on the influence of nanoparticles’ shape on flow and thermal radiation effect. The partial differential equations governing the flow are simplified into a system of coupled, non-dimensional ordinary differential equations using similarity transformations. An analytical solution is obtained using the power series method, and then analyzed using Hermite–Padé approximation approach. The study explores the impact of several physical parameters including Reynolds number, magnetic parameter, expansion/contraction ratio, Prandtl number, Brinkman number, radiation parameter, nanoparticle volume fraction, and shape factor on the velocity and temperature profiles. Results indicate that platelet-shaped (at) nanoparticles yield the highest temperature distribution, while increased nanoparticle concentration over 5 % and shape factor tend to reduce heat transfer. Stability analysis of the solution confirmed the physically viable solution branch of the heat transfer rate and the singular point of the effective physical parameter.
Additionally, Response Surface Methodology (RSM) is employed to develop a statistical model for optimizing heat transfer performance, where the local Nusselt number is considered the key response variable. The adequacy and predictive capability of the regression model are verified through ANOVA, demonstrating both significance and accuracy, with an R² value of 99.95 %. This integrated approach delivers significant insights into the interaction effects of multiple parameters and supports the design of efficient nanofluid-based thermal systems. This research investigates which shaped nanoparticle provides superior thermal performance in nanofluid-based cooling systems and how the expansion/contraction parameter affect the flow and heat transfer mechanism.
扫码关注我们
求助内容:
应助结果提醒方式:
