Shifted Horadam collocation approach to analyze radiative nanofluid flow in conical region of cone and surface of disk: Koo-Kleinstreuer-Li correlation

The nanofluid flow through the conical gap between the cone and disk configuration is commonly used to enhance heat transfer in systems where compact, efficient cooling is essential, such as in electronic device cooling, turbine blade cooling, or nuclear reactor components. The present investigation elucidates the nanofluid flow in the conical gap between the cone and disk in the presence of thermal radiation. Additionally, the Koo-Kleinstreuer-Li model examines the viscosity and effective thermal conductivity of a liquid stream suspended by nanoparticles. It is assumed that the disk experiences rotating and stretching, while the cone is subjected to rotation. The governing partial differential equations (PDEs) are transformed into ordinary differential equations (ODEs) by using suitable similarity variables. Further, the Shifted Horadam collocation method (SHCM) is used to solve the obtained ODEs. Graphical representations are utilized to illustrate a thorough scrutiny of the physical behaviour of significant parameters on the thermal and velocity profiles. As the radiation parameter rises, the Nusselt number of the disk increases by approximately 49.21 % and the Nusselt number of the cone rises by approximately 12.77 %. The rise in the radiation parameter increases the thermal profile. The increased rotation parameter of the disk raises the velocity profile.