On extra boundary condition in the stagnation point flow of a second grade fluid

作者: P.D. Ariel

DOI: 10.1016/S0020-7225(01)00031-3

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摘要: Abstract The two dimensional stagnation point flow of a second grade fluid is considered. governed by boundary value problem in which the order differential equations one more than number available conditions. It shown that without augmenting conditions at infinity it possible to obtain numerical solution for all values K , where dimensionless viscoelastic parameter. results using algorithm foreshadow an asymptotic behavior large . derived up terms O( −1 ). Perturbation solutions are also obtained 2 Finally approximate developed, based on stretching independent variable and minimizing residual equation least square sense. All these compared with exact appropriate conclusions drawn.

参考文章(22)
J. A. D. Ackroyd, A series method for the solution of laminar boundary layers on moving surfaces Zeitschrift für angewandte Mathematik und Physik ZAMP. ,vol. 29, pp. 729- 741 ,(1978) , 10.1007/BF01589285
R. W. Serth, Solution of a viscoelastic boundary layer equation by orthogonal collocation Journal of Engineering Mathematics. ,vol. 8, pp. 89- 92 ,(1974) , 10.1007/BF02353609
D. W. Beard, K. Walters, Elastico-viscous boundary-layer flows I. Two-dimensional flow near a stagnation point Mathematical Proceedings of the Cambridge Philosophical Society. ,vol. 60, pp. 667- 674 ,(1964) , 10.1017/S0305004100038147
G. M. Shrestha, Laminar elastico-viscous flow through channels with porous walls of different permeability Flow Turbulence and Combustion. ,vol. 20, pp. 289- 305 ,(1969) , 10.1007/BF00382401
J. Ernest Dunn, Roger L. Fosdick, Thermodynamics, stability, and boundedness of fluids of complexity 2 and fluids of second grade Archive for Rational Mechanics and Analysis. ,vol. 56, pp. 191- 252 ,(1974) , 10.1007/BF00280970
R. M. M. Mattheij, G. W. M. Staarink, An Efficient Algorithm for Solving General Linear Two-Point BVP SIAM Journal on Scientific and Statistical Computing. ,vol. 5, pp. 745- 763 ,(1984) , 10.1137/0905053
R. L. Fosdick, K. R. Rajagopal, Anomalous features in the model of “second order fluids” Archive for Rational Mechanics and Analysis. ,vol. 70, pp. 145- 152 ,(1979) , 10.1007/BF00250351
P.Donald Ariel, Computation of flow of a second grade fluid near a rotating disk International Journal of Engineering Science. ,vol. 35, pp. 1335- 1357 ,(1997) , 10.1016/S0020-7225(97)87427-7
Ganjam K. Rajeswari, Seekote L. Rathna, Flow of a particular class of non-Newtonian visco-elastic and visco-inelastic fluids near a stagnation point Zeitschrift für Angewandte Mathematik und Physik. ,vol. 13, pp. 43- 57 ,(1962) , 10.1007/BF01600756