Stagnation-point flow of a viscous fluid towards a stretching surface with variable thickness and thermal ‎radiation‎

Authors

  • A. J. Chamkha‎ Mechanical Engineering Department‎, ‎Prince Mohammad Bin Fahd University (PMU)‎ ‎P.O‎. ‎Box 1664‎, ‎Al-Khobar 31952‎, ‎Kingdom of Saudi ‎Arabia‎‎.
  • B. C. Prasanna ‎Kumara Department of Mathematics‎, ‎Government First Grade College‎, ‎Koppa‎, ‎Karnataka‎, ‎India.‎
  • B. J. ‎Gireesha‎‎ Department of Studies in Mathematics‎, ‎Kuvempu University‎, ‎Shimoga‎, ‎Karnataka‎, ‎India.‎
  • ‎‎G. K‎. ‎ ‎Ramesh‎ Department of Studies in Mathematics‎, ‎Kuvempu University‎, ‎Shimoga‎, ‎Karnataka‎, ‎India.‎
Abstract:

‎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 $‎.‎

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Journal title

volume 7  issue 1

pages  77- 85

publication date 2015-01-01

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