Stefan Blowing Impacts on Hybrid Nanofluid Flow over a Moving Thin Needle with Thermal Radiation and MHD

This investigation focuses on the impact of Stefan blowing flow hybrid nanoliquids over a moving slender needle with magnetohydrodynamics (MHD), thermal radiation, and entropy generation. To facilitate analysis, suitable transformations are applied to convert governing partial differential equations into set ordinary equations, which then solved analytically using Homotopy Analysis Method (HAM) in Mathematica. study investigates how varying values blowing, magnetic field, radiation parameters profiles velocity, temperature, concentration. Additionally, analyzes outcomes local skin friction, Nusselt number, Sherwood number. Increasing field reduces velocity profile. The temperature profile is enhanced by rise parameter. Also, results reveal that an increase number leads higher velocity.