Numerical Investigation and Optimization of Tangent Hyperbolic Nanofluid Flow in an Upright Microchannel Using ANOVA-Taguchi Method

This study address the flow behaviour and irreversibility analysis of a tangent hyperbolic nanofluid within an upright microchannel. Parameter optimization is conducted using the ANOVA—Taguchi technique to identify the most influential factors. The Buongiorno model theory is utilized to describe nanoparticle transport mechanisms such as Brownian motion as well as thermophoresis. The formulation accounts for various effects, including non-linear thermal radiative heat flux, Hall current, buoyancy force, convective heating, and slip velocity at the channel walls. By introducing non-dimensional variables, the governing nonlinear equations are renovated into a non-dimensionl form and are simplified numerically by applying the Runge—Kutta—Fehlberg fourth—fifth order scheme conjugated with the shooting method. The integration of statistical optimization with numerical computation enhances efficiency and clarifies the interactions among physical parameters. The outcomes indicate that improving the magnetic parameter diminishes the primary velocity and temperature profile and also decreases irreversibility near the channel walls and enhances it in the core region, while simultaneously the secondary velocity increases. Similarly, the radiation parameter improves, resulting in enhanced entropy generation, whereas the Bejan number and temperature distribution decrease along the channel. The optimization study predicts a maximum thermal transmission rate of 0.074418. Overall, the proposed framework presents a practical approach for controlling thermo-fluidic performance in microscale systems, especially in magnetically controlled biomedical devices and advanced microchannel cooling applications.