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KEY WORDS

Unsteady flow, micro polar fluid, stretching surface, skin friction, porous medium.

ABSTRACT

Aim of the paper is to investigate the unsteady boundary layer flow of an incompressible micropolar fluid over a stretching porous sheet when the sheet is stretched in
its own plane. The stretching velocity is assumed to vary linearly with the distance along the sheet. Two equal and opposite forces are impulsively applied along axis so that the sheet is stretched, keeping the origin fixed in a micropolar fluid. The governing non-linear equations and their associated boundary conditions are first cast into
dimensionless form by a local non-similarity transformation. The resulting equations are solved numerically using the Adams- predictor corrector method for the whole
transient from the initial state to final steady- state flow. Numerical results are obtained and a representative set is displaced graphically to illustrate the influence of the various
physical parameters on the velocity profiles, microrotation profiles as well as the Skin friction coefficient for various values of the material parameter K. It is found that
there is a smooth transition from the small- time solution to the large- time solution. Results for the local skin friction coefficient are presented in table as well as in graph.

CITATION INFORMATION

Acta Mechanica Slovaca. Volume 16, Issue 2, Pages 84 – 90, ISSN 1335-2393

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  Unsteady Boundary Layer Flow of an Incompressible Micropolar Fluid Over a Porous Stretching Sheer

REFERENCES

[1] Ariman T, Turk M A and Sylvester N.D Microcontinum fluid mechanics-a review”, Int j Eng sci,1vol 1, 1973, p. 905-930.

[2] Crane, L.J Flow Past a stretching plane,JournalofApplied Mathematicsand Physics (ZAMP),Vol, 21, 1970. p. 645-647.
[3] Eringen,A.C Simple micropolar fluids. Int. J. Engng. Sci.2. 1964. p.205.
[4] Eringen, A.C,Theory of micropolar fluids. J. Math. Mech 16, 1966.p.1-18.
[5] Gorla, R. S. R Int. J. Engng. Sci 21, p. 25. 1983.
[6] Guram G. S. and A. C. Smith, Comp. Maths. With Appls 6, P.213. 1980.
[7] Ishak, A. Nazar, R. and I. Pop, Heat transfer over a stretching surface with variable surface heat flux in micropolar fluids, Phys. Lett: A 372, p. 559- 561. 2008.[6]
[8] Magyari E. and B. Keller Heat and Mass Transfer in the BoundaryLayers on an ExponentiallyStretching Continuous Surface, Journal of Physics D: Applied Physics 32,
1999.p. 577-586.
[9] Magyari E. and Keller B. Exact Solutions for Self – Similar Boundary–Layer Flows induced by Permeable Stretching Surfaces, European Journal of Mechanics B – fluids 19,
2000, p.109-122.
[10] Nazar, R, Amin, N, Filip, D and Pop I,Stretching point flow of a Micropolar Fluid towards a stretching sheet, Int . J. non- Linear Mech 39, 2004, p1227-1235.
[11] Noor, A, Heat transfer from a stretching sheet, Int J Heat and Mass Transfer.4, 1992, P. 1128- 1131.
[12] Rajeshwari V and Nath G Unsteady flow over a stretching surface in a rotating fluid Int j Eng sci 30, No 6, 1992, p.747-756.
[13] Roslinda Nazr, Anuar Ishak, and Ioan PopUnsteady Boundary Layer Flow Over a Stretching Sheet in a Micropolar Fluid, International Journal of Mathematical, Physical and
Engineering Sciences 2( 3), 2008. p.161-165.
[14] Sriramulu, A, Kishan, N and Anadarao, J, Steady flow and heat transfer of a viscous incompressible fluid flow through porous medium over a stretching sheet. Journal of Energy, Heat and Mass Transfer 23, 2001, p. 483-495

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ams 2 2016

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