Optimizing shear and couple stress analysis for the magneto-micropolar dissipative nanofluid flow toward an elongating surface: a comprehensive RSM-ANOVA investigation

The application of magnetic nanofluid flow combines the versatility of nanotechnology with the manipulation capabilities of magnetic fields to address challenges and create innovative solutions across various industries. The proposed investigation explores the comprehensive analysis of magneto-micropolar hybrid nanofluid flow over an elongating surface, highlighting the critical roles of the shear rate as well as couple stresses. The nanofluid comprised of Ag and MoS4 nanoparticles in conventional fluid water characterizes their impact on the flow phenomena. The investigation employs "Response Surface Methodology" (RSM) coupled with "Analysis of Variance" (ANOVA) to optimize the influential parameters likely the particle concentrations and the magnetic parameter governing the flow behavior and heat transfer characteristics. A broad mathematical formulation is established considering the effect of thermal buoyancy, dissipative heat, and thermal radiation. The governing partial differential equations are solved numerically with the help of shooting-based Runge-Kutta technique followed by similarity rules which are used to transform these equations into ordinary. Through RSM and ANOVA, the significant factors affecting the flow and heat transfer characteristics are identified, enabling the determination of optimal operating conditions for enhanced performance. The outcomes of the study show optimization of systems involving micropolar hybrid nanofluids, with potential applications in various engineering and industrial processes. Additionally, the integration of RSM and ANOVA shows an effective approach for elucidating the optimized shear as well as couple stress for the involvement of several factors.