Stagnation flow towards a shrinking sheet |
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Authors: | CY Wang |
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Institution: | Department of Mathematics, Michigan State University, East Lansing, MI 48824, USA |
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Abstract: | The stagnation flow towards a shrinking sheet is studied. A similarity transform reduces the Navier-Stokes equations to a set of non-linear ordinary differential equations which are then integrated numerically. Both two-dimensional and axisymmetric stagnation flows are considered. It is found that solutions do not exist for larger shrinking rates and may be non-unique in the two-dimensional case. The non-alignment of the stagnation flow and the shrinking sheet complicates the flow structure. Convective heat transfer decreases with the shrinking rate due to an increase in boundary layer thickness. |
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Keywords: | Stagnation flow Shrinking sheet Similarity solution |
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