Stagnation-point flow of a viscous fluid towards a stretching surface with variable thickness and thermal radiation
محورهای موضوعی : مجله بین المللی ریاضیات صنعتیB. C. Prasanna ‎Kumara 1 , ‎‎G. K‎. ‎ ‎Ramesh‎ 2 , A. J. Chamkha‎ 3 , B. J. ‎Gireesha‎‎ 4
1 - Department of Mathematics, Government First Grade College, Koppa, Karnataka, India.
2 - Department of Studies in Mathematics, Kuvempu University, Shimoga, Karnataka, India.
3 - Mechanical Engineering Department, Prince Mohammad Bin Fahd University (PMU) P.O. Box 1664, Al-Khobar 31952, Kingdom of Saudi Arabia.
4 - Department of Studies in Mathematics, Kuvempu University, Shimoga, Karnataka, India.
کلید واژه: Stagnation-point flow, Variable thickness, Stretching sheet, Thermal radiation, Numerical solution,
چکیده مقاله :
In the present analysis, we study the boundary layer flow of an incompressible viscous fluid near the two-dimensional stagnation-point flow over a stretching surface. The effects of variable thickness and radiation are also taken into account and assumed that the sheet is non-flat. Using suitable transformations, the governing partial differential equations are first converted to ordinary one and then solved numerically by fourth and fifth order Runge-Kutta-Fehlberg method with shooting technique. The influence of the various interesting parameters on the flow and heat transfer is analyzed and discussed through graphs in detail. Comparison of the present results with known numerical results is shown and a good agreement is observed. It is found that boundary layer is formed when $\lambda > 1 $. On the other hand, an inverted boundary layer is formed when $\lambda < 1 $.
