Transient mixed convection flow of a second grade viscoelastic fluid past an inclined backward facing step

The transient mixed convection of a second-grade viscoelastic fluid past an inclined backward facing step was studied numerically. The combined effects of the Reynolds number, the elastic effect, the inclined angle of the flow channel on the reattachment length, and the phenomena of heat transfer are examined during the development of the flow field. The Gauss-Seidal method with successive over relaxation was implemented to solve the stream-vorticity and energy equations. The results indicate that the reattachment length increases to the maximum as the inclined angle increases up to 150° or 180°. At these cases, the point of reattachment is close to the point of the local maximum value of Nu_x or is overshooting it. It is observed that the reattachment length increases as the Reynolds number increases or the elastic coefficient decreases. In the meantime, the contact point of the isotherm on the upper plate moves upward and is close to upstream flow as the inclined angle is around 150°.