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Applied Mathematics and Mechanics

, Volume 31, Issue 11, pp 1421–1428 | Cite as

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

  • N. Bachok
  • A. IshakEmail author
  • I. Pop
Article

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.

Key words

unsteady three-dimensional flow boundary layer shrinking sheet dual solution 

Chinese Library Classification

O357.4 

2000 Mathematics Subject Classification

76D10 34B15 

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Copyright information

© Shanghai University and Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of ScienceUniversiti Putra MalaysiaUPM SerdangSelangor, Malaysia
  2. 2.School of Mathematical Sciences, Faculty of Science and TechnologyUniversiti Kebangsaan MalaysiaUKM BangiSelangor, Malaysia
  3. 3.Institute of Mathematical Sciences, Faculty of ScienceUniversity of MalayaKuala LumpurMalaysia
  4. 4.Faculty of MathematicsUniversity of ClujClujRomania

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