A Study of Hybrid Nanofluid (\(NiZ_nFe_2O_4 + MnZ_nFe_2O_4\)) in Micro Channel with Partial Slips and Convective Conditions: Entropy Generation Analysis

This study explores the impact of a hybrid nanofluid made up of nickel zinc ferrite, manganese zinc ferrite, and engine oil (base fluid) on flow, heat transfer, and entropy generation. Specifically, the microchannel flow of magneto-nanoliqiuids with partial slip, and convective boundary conditions have been analyzed. By using dimensionless variables, the dimensional governing equations were reduced to dimensionless differential equations. Then, with the help of Runge–Kutta–Fehlberg-based, and shooting approach numerical solutions were found. Additionally, the effects of magnetism on the flow of the hybrid nanofluids was investigated, and comparative discussions are made with graphical representations for nanofluids, and hybrid nanofluids. The research findings indicate that entropy production can be enhanced through various mechanisms such as radiative heat, Joule heating, convective heating, and viscous dissipation. Specifically, the entropy production is observed to be higher in the case of hybrid nanofluid ( \(NiZ_nFe_2O_4\) $Ni{Z}_{n}F{e}_2{O}_4$ + \(MnZ_nFe_2O_4\) $Mn{Z}_{n}F{e}_2{O}_4$ ) when compared to nanofluid ( \(NiZ_nFe_2O_4\) $Ni{Z}_{n}F{e}_2{O}_4$ / \(MnZ_nFe_2O_4\) $Mn{Z}_{n}F{e}_2{O}_4$ ). When the heat source parameter experiences a fourfold increase(400%), there is a corresponding temperature rise of 12.42%. In a separate scenario, as the Hartman number (Ha) undergoes a twofold increases(200%), the fluid velocity exhibits a substantial decrease of 69.2%. Additionally, with a 200% increase in the radiation parameter, the entropy generation rises by 30.46%.