Analysis of melting heat transfer in ternary nanofluid flow between rotating disks with non-linear thermal radiation

In this work, we investigate the heat and flow dynamics of a ternary hybrid nanofluid composed of titanium oxide (TiO₂), zinc ferrite (ZnFeO₄), and zirconium dioxide (ZrO₂) in a kerosene oil base fluid between two parallel rotating disks. The study incorporates the effects of velocity slip boundary conditions and nonlinear thermal radiation to provide a comprehensive understanding of fluid and thermal behavior in this system. By applying the Von Kármán transformation, the governing equations are reduced to a system of ordinary differential equations (ODEs), which are then solved using the shooting method with Runge-Kutta (RK) updates. Our results indicate that increasing the parameters B₁ and B₂ reduces both radial and axial fluid velocities. Additionally, tangential velocity decreases with higher values of the porosity parameter λ, Reynolds number Re, melting parameter Me, and magnetic parameter M. A comparison with published data confirms the accuracy and stability of our numerical solutions. These findings have significant applications in engineering, including energy storage, electronic cooling, lubrication in rotating machinery, and thermal management systems. The study is also relevant to industrial heat exchangers, chemical reactors, and aerospace engineering, particularly in turbine cooling.