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Sankara, Kishore Kumar; Watson, Layne T.

Micropolar flow past a stretching sheet. (English) Zbl 0585.76006

Z. Angew. Math. Phys. 36, 845-853 (1985).
Summary: This paper studies the flow of an incompressible, constant density micropolar fluid past a stretching sheet. The governing boundary layer equations of the flow are solved numerically using a globally convergent homotopy method in conjunction with a least change secant update quasi- Newton algorithm. The flow pattern depends on three non-dimensional parameters. Some interesting results are illustrated graphically and discussed.

Cited in 5 Documents

MSC:

76A05 Non-Newtonian fluids
76M99 Basic methods in fluid mechanics

Keywords:

quasi-Newton method; incompressible, constant density micropolar fluid; stretching sheet; boundary layer equations; globally convergent homotopy method; least change secant update quasi-Newton algorithm

Software:

minpack
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Full Text: DOI

References:

[1] A. C. Eringen, Int. J. Engng. Sci.2, 205 (1964). · Zbl 0136.45003 · doi:10.1016/0020-7225(64)90005-9
[2] A. C. Eringen, J. Math. Mech.16, 1 (1966).
[3] J. R. J. Peddieson and R. P. McNitt, Rec. Adv. Eng. Sci.5, 405 (1970).
[4] A. J. Willson, Proc. Camb. Phil. Soc.67, 469 (1970). · doi:10.1017/S0305004100045746
[5] G. Ahmadi, Int. J. Engng. Sci.16, 639 (1976). · Zbl 0329.76041 · doi:10.1016/0020-7225(76)90006-9
[6] H. Kummerer, Rheol. Acta16, 261 (1977). · Zbl 0357.76032 · doi:10.1007/BF01523736
[7] G. S. Guram and A. C. Smith, Comp. Maths. with Appls.6, 213 (1980). · Zbl 0434.76013 · doi:10.1016/0898-1221(80)90030-9
[8] R. S. R. Gorla, Int. J. Engng. Sci.21, 25 (1983). · Zbl 0511.76015 · doi:10.1016/0020-7225(83)90036-8
[9] L. T. Watson, T. Y. Li and C. Y. Wang, J. Appl. Mech.45, 435 (1978). · doi:10.1115/1.3424320
[10] C. Y. Wang and L. T. Watson, Appl. Sci. Res.35, 195 (1979). · Zbl 0414.76025 · doi:10.1007/BF00382705
[11] C. Y. Wang and L. T. Watson, Z. angew. Math. Phys.30, 773 (1979). · Zbl 0426.76032 · doi:10.1007/BF01590686
[12] L. T. Watson, J. Comput. Appl. Math.7, 21 (1981). · Zbl 0452.76025 · doi:10.1016/0771-050X(81)90003-6
[13] L. T. Watson, Appl. Math. Comput.5, 297 (1979). · Zbl 0445.65032 · doi:10.1016/0096-3003(79)90020-1
[14] L. T. Watson and D. Fenner, ACM Trans. Math. Software6, 252 (1980). · Zbl 0445.65033 · doi:10.1145/355887.355899
[15] L. T. Watson, Appl. Math. Comput.9, 111 (1981). · Zbl 0481.65029 · doi:10.1016/0096-3003(81)90010-2
[16] J. J. More, B. S. Garbow, and K. E. Hillstrom, User Guide for MINPACK-1, ANL-80-74, Argonne National Laboratory (1980).
[17] K. K. Sankara and L. T. Watson, Tech. Rep. CS84006-R, Dept. of Computer Science, Virginia Polytechnic Institute & State University, Blacksburg, VA (1984).
[18] L. J. Crane, Z. angew. Math. Phys.21, 645 (1970). · doi:10.1007/BF01587695
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