| FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
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Dual Solutions in Unsteady Stagnation-Point Flow over a Shrinking Sheet |
| Krishnendu Bhattacharyya**
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Department of Mathematics, The University of Burdwan, Burdwan-713104, West Bengal, India
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| Cite this article: |
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Krishnendu Bhattacharyya 2011 Chin. Phys. Lett. 28 084702 |
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Abstract An analysis is made to study the dual nature of solution of unsteady stagnation-point flow due to a shrinking sheet. Using similarity transformations, the governing boundary layer equations are transformed into the self-similar nonlinear ordinary differential equations. The transformed equations are solved numerically using a very efficient shooting method. The study reveals the conditions of existence, uniqueness and non-existence of unsteady similarity solution. The dual solutions for velocity distribution exist for certain values of velocity ratio parameter (c/a), and the increment in the unsteadiness parameter A increases the range of c/a where solution exists. Also, with increasing A, the skin friction coefficient increases for the first solution and decreases for the second.
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| Keywords:
47.15.Cb
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Received: 26 April 2011
Published: 28 July 2011
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| PACS: |
47.15.Cb
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(Laminar boundary layers)
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