Paper Title
Axisymmetric Hybrid Nanofluid Flow Over a Radially Shrinking Disk With Heat Generation and Magnetic Field Effects

Abstract
This study presents the numerical computation and existence of dual solutions for the flow and thermal development of an axisymmetric hybrid copper-alumina/water nanofluid past a permeable shrinking disk. The simultaneous effects of magnetic field (MHD), heat generation, and suction parameters are included to observe their capability in the development of heat transfer and flow characteristics. Suction is a useful effect as it helps to stabilize the unconfined vorticity inside the fluid motion of the shrinking surface.The boundary layer assumptions serve as the foundation for the mathematical development of the flow and energy equations. Similarity variables are then used to simplify these equations whilethe bvp4c function in the Matlab software subsequently produces numerical results. Thethermal (heat transfer) rate is calculated and observed for variation of heat generation parameter which led to the reduction in the thermal rate and simultaneously enhances the temperature profile. Meanwhile, the suction parameter enhances the velocity profile by controlling and stabilizing the vorticity within the fluid particles. Keywords - Dual Solutions, Magnetohydrodynamics (MHD), Hybrid Nanofluid, Numerical Solution, Shrinking Disk.