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Applied Mathematics and Mechanics (English Edition) ›› 2010, Vol. 31 ›› Issue (11): 1421-1428.doi: https://doi.org/10.1007/s10483-010-1372-6

• Articles • 上一篇    下一篇

Unsteady three-dimensional boundary layer flow due to a permeable shrinking sheet

 N.BACHOK1, A.ISHAK2,3, I.POP4   

  1. 1. Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, UPM Serdang 43400, Selangor, Malaysia;
    2. School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, UKM Bangi 43600, Selangor, Malaysia;
    3. Institute of Mathematical Sciences, Faculty of Science, University of Malaya, Kuala Lumpur 50603, Malaysia;
    4. Faculty of Mathematics, University of Cluj, Cluj R-3400, CP 253, Romania
  • 收稿日期:2010-06-01 修回日期:2010-09-06 出版日期:2010-11-01 发布日期:2010-11-01

Unsteady three-dimensional boundary layer flow due to a permeable shrinking sheet

 N.BACHOK1, A.ISHAK2,3, I.POP4   

  1. 1. Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, UPM Serdang 43400, Selangor, Malaysia;
    2. School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, UKM Bangi 43600, Selangor, Malaysia;
    3. Institute of Mathematical Sciences, Faculty of Science, University of Malaya, Kuala Lumpur 50603, Malaysia;
    4. Faculty of Mathematics, University of Cluj, Cluj R-3400, CP 253, Romania
  • Received:2010-06-01 Revised:2010-09-06 Online:2010-11-01 Published:2010-11-01

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摘要： The unsteady viscous flow over a continuously permeable shrinking surface is studied. Similarity equations are obtained through the application of similar transformation techniques. Numerical techniques are used to solve the similarity equations for different values of the unsteadiness parameter, the mass suction parameter, the shrinking parameter and the Prandtl number on the velocity and temperature profiles as well as the skin friction coefficient and the Nusselt number. It is found that, different from an unsteady stretching sheet, dual solutions exist in a certain range of mass suction and unsteadiness parameters.

Abstract: The unsteady viscous flow over a continuously permeable shrinking surface is studied. Similarity equations are obtained through the application of similar transformation techniques. Numerical techniques are used to solve the similarity equations for different values of the unsteadiness parameter, the mass suction parameter, the shrinking parameter and the Prandtl number on the velocity and temperature profiles as well as the skin friction coefficient and the Nusselt number. It is found that, different from an unsteady stretching sheet, dual solutions exist in a certain range of mass suction and unsteadiness parameters.

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