Numerical study of unsteady mixed convection stagnation point flow over a stretching cylinder with sinusoidal surface temperature

Abstract

The paper provides the analysis of unsteady two-dimensional mixed convection stagnation point flow over a vertical stretching cylinder with sinusoidal wall temperature. The governing partial differential equations are converted into dimensionless form by using suitable transformations. For the numerical solution of dimensionless partial differential equations, an implicit finite difference scheme namely Keller Box method is applied. The comparison is made to show the accuracy of our results with literature for some special cases. Graphs of velocity and temperature profiles are plotted for assisting and opposing flow cases at fixed value of time. The assisting buoyant flow augment the momentum boundary layer while opposing buoyant flow show opposite behavior. The thermal boundary layer thickness grows with the passage of time. Skin friction and Nusselt number are plotted for unsteadiness parameter and amplitude of surface temperature oscillations against time. It is apparent that as the values of surface temperature oscillations drops, the amplitude of oscillations in skin friction and Nusselt number also drops. Furthermore, isotherms are drawn to exhibit the influence of the amplitude of oscillations on curvature parameter with time.