Thermal investigation of micro-polar tangent hyperbolic flow using a hybrid nanofluid approach

Abstract

Hybrid nanofluids are recognized as advanced nanofluids due to their superior thermal properties and the potential advantages they offer in boosting the thermal efficiency of machines. Keeping the potential properties of hybrid nanofluids, this study aims to discuss the numerical solution for the the micro-rotating tangent hybrid nanofluid induced by a porous stretchable sheet. The physcial model is mathematically formulated. The mathematical formulation yields a set of non-linear partial differential equations. To derive a similarity solution, similarity variables are introduced. The numerical solution to the system of differential equations is achieved by engaging the Runge–Kutta–Fehlberg 45 (RKF-45) method, in conjunction with the shooting method. Graphical representations are employed to demonstrate the physical significance of relevant parameters. It is observed that a rise in both the permeability of the porous medium and the magnetic parameter lead to a significant decrease in the skin friction coefficient. Furthermore, as the Eckert number and heat source parameter reach substantial values, an increase in the heat transfer rate is foreseen. It is worth noting that by manipulating thermal relaxation and heat source parameters allows engineers to tailor systems for optimal performance, efficiency, and safety across various applications.