Paper title:

Numerical Solutions of Unsteady Boundary Layer Flow due to an Impulsively Stretching Surface

Published in: Issue 2, (Vol. 4) / 2010
Publishing date: 2010-04-30
Pages: 25-30
Author(s): ALI Fadzilah Md., NAZAR Roslinda, ARIFIN Norihan Md.
Abstract. In this study, we investigate numerically the problem of unsteady boundary layer flow caused by an impulsively stretching surface with constant viscous flow. The boundary layer equations are transformed into similarity equations via the similarity transformation, which are then solved numerically using an efficient implicit finite-difference scheme known as the Keller-box method. The numerical solutions are obtained which are uniformly valid for all dimensionless time from initial unsteady-state flow to final steady-state flow in the whole spatial region. It is found that there is a smooth transition from the small-time solution to the large-time solution. The numerical results for the skin friction coefficients are compared with those of the analytical approach results, and they are found to be in good agreement. The numerical solutions for the velocity profiles are also presented in this paper.
Keywords: Unsteady Flow, Boundary Layer, Impulsively Stretching Surface, Numerical Solutions.
References:

1. B. C. Sakiadis, “Boundary layer behavior on continuous solid surfaces. I. Boundary layer equations for two-dimensional and axisymmetric flow,” AIChE Journal, vol. 7, pp. 26–28, 1961.

2. B. C. Sakiadis, “Boundary layer behavior on continuous solid surfaces. II. Boundary layer on a continuous flat surface,” AIChE Journal, vol. 7, pp. 221–225, 1961.

3. F. K. Tsou, E. M. Sparrow, and R. J. Goldstein, “Flow and heat transfer in the boundary layer on a continuous moving surface,” International Journal of Heat and Mass Transfer, vol. 10, pp. 219–235, 1967.

4. L. J. Crane, “Flow past a stretching plate,” Journal of Applied Mathematical Physics (ZAMP), vol. 21, pp. 645–645, 1970.

5. I. Pop, and T. Y. Na, “Unsteady flow past a stretching sheet”, Mechanics Research Communications, vol. 23, pp. 413–422, 1996.

6. H. S. Takhar, A. J. Chamka, and G. Nath, “Unsteady three-dimensional MHD-boundary-layer flow due to the impulsive motion of a stretching surface”, Acta Mechanica, vol. 146, pp. 59–71, 2001.

7. R. Seshadri, N. Sreeshylan, and G. Nath, “Unsteady mixed convection flow in the stagnation region of a heated vertical plate due to impulsive motion”, International Journal of Heat and Mass Transfer, vol. 45, pp. 1345–1352, 2002.

8. H. Xu, and S. J. Liao, “Series solutions of unsteady magnetohydrodynamic flows of non-Newtonian fluids caused by an impulsively stretching plate”, Journal of Non-Newtonian Fluid Mechanics, vol. 129, pp. 46–55, 2005.

9. S. J. Liao, “An analytic solution of unsteady boundary-layer flows caused by an impulsively stretching plate”, Communications in Nonlinear Science and Numerical Simulation, vol. 11, pp. 326– 339, 2006.

10. S. Awang Kechil, and I. Hashim, “Series solution for unsteady boundary-layer flows due to impulsively stretching plate”, Chinese Physics Letters, vol. 24, pp. 139–142, 2007.

11. M. Kumari, and G. Nath, “Analytic solution of unsteady three-dimensional MHD boundary layer flow and heat transfer due to impulsively stretched plane surface”, Communications in Nonlinear Science and Numerical Simulation, vol. 14, pp. 3339–3350, 2009.

12. R. Nazar, N. Amin, and I. Pop, “Unsteady boundary layer flow due to stretching surface in a rotating fluid”, Mechanics Research Communications, vol. 31, pp. 121–128, 2004.

13. T. Cebeci, and P. Bradshaw, Momentum Transfer in Boundary Layers, Hemisphere Publishing Corporation, New York, 1977.

14. T. Cebeci, and P. Bradshaw, Physical and Computational Aspects of Convective Heat Transfer, Springer-Verlag, New York, 1988.

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