Stability analysis of unsteady three-dimensional viscous flow over a permeable stretching/shrinking surface
In this paper, a theoretical and numerical study on the unsteady three-dimensional boundary layer flow of a viscous fluid past a permeable stretching/shrinking sheet is considered. Similarity transformation is used to reduce the governing system of nonlinear partial differential equations into a...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Penerbit Universiti Kebangsaan Malaysia
2015
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| Online Access: | http://journalarticle.ukm.my/9478/ http://journalarticle.ukm.my/9478/ http://journalarticle.ukm.my/9478/1/jqma-11-1-paper3.pdf |
| Summary: | In this paper, a theoretical and numerical study on the unsteady three-dimensional boundary
layer flow of a viscous fluid past a permeable stretching/shrinking sheet is considered. Similarity
transformation is used to reduce the governing system of nonlinear partial differential equations
into a system of ordinary differential equations. These equations are then solved numerically by
using the “bvp4c” function in MATLAB. The effects of the governing parameters, namely the
unsteadiness parameter, the stretching/shrinking parameter, the suction parameter and the ratio
of the surface velocity gradients on the skin friction coefficients, as well as the velocity profiles
are presented and discussed. Multiple solutions are found for a certain range of the governing
parameters. Stability analysis has been performed to determine which solution is stable and
physically realisable. |
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