Boundary Layer Flow and Its Dual Solutions Over a Stretching Cylinder: Stability Analysis

Abstract

Analysis of magnetohydrodynamics (MHD) boundary layer viscous fluid flow with variable thermal conductivity and mass transfer over a stretching cylinder has been done. The joule heating due to the weak magnetic field is encountered here and the thermal conductivity is taken to be a linear function of temperature. Numerical solutions are built up for momentum, energy and concentration equations using “MATLAB built-in bvp4c solver technique”. Impact of different flow parameters on the flow velocity, temperature and concentrations profiles have been discussed graphically. It is found that the dual solutions exist due to stretching cylinder and there is an unexpected increase of heat at the surface of the cylinder. Stability analysis of dual solutions is implemented to characterize the linearly stable and physically realizable solution.