Dual Solution of Axi-Symmetric Boundary Layer Flow and Heat Transfer Around a Stretching Cylinder Under the Influence of a Uniform Magnetic Field with Partial Slip Condition

Abstract

This study seeks to investigate the boundary layer flow of a viscous fluid possessing axisymmetric characteristics, where partial slip at the boundary is accounted for rather than assuming a no-slip condition. By employing similarity transformations, the governing equations transform. Subsequently, these transformed equations are numerically solved using the shooting method. The investigation uncovers the presence of dual solutions with increasing parameters such as velocity slip, magnetic field strength, and suction effect. Various physical parameters are meticulously examined and discussed. Furthermore, numerical analyses are performed to ascertain expressions for the skin friction coefficient, Nusselt number, fluid velocity, and temperature around the cylinder, with their variations elucidated through graphical representations.