Impulsive Stretching of a Surface in a Viscous Fluid
作者： C. C. Chang , C. Y. Wang , M. Miklavcic , Q. Du
DOI: 10.1137/S0036139995282050
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摘要: The induced transient viscous flow due to a suddenly stretched surface is studied. After similarity transform, the unsteady Navier--Stokes equation solved by several methods, including perturbation for small times, numerical integration, and asymptotic analysis large times. It found that validity of small-time series can be greatly extended approach steady state exponential.
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sci-hub.se 参考文章(10)
Demetri P Telionis, Demetri P Telionis, Unsteady Viscous Flows Springer Series in Computational Physics. ,(1981) , 10.1007/978-3-642-88567-9
Heinrich Blasius, Grenzschichten in Flüssigkeiten mit kleiner Reibung B.G. Teubner. ,(1907)
Daniel Bauman Henry, Geometric Theory of Semilinear Parabolic Equations ,(1981)
S. Goldstein, L. Rosenhead, Boundary layer growth Mathematical Proceedings of the Cambridge Philosophical Society. ,vol. 32, pp. 392- 401 ,(1936) , 10.1017/S0305004100019101
J. Vleggaar, Laminar boundary-layer behaviour on continuous, accelerating surfaces Chemical Engineering Science. ,vol. 32, pp. 1517- 1525 ,(1977) , 10.1016/0009-2509(77)80249-2
Milan Miklavčič, Stability for semilinear parabolic equations with noninvertible linear operator Pacific Journal of Mathematics. ,vol. 118, pp. 199- 214 ,(1985) , 10.2140/PJM.1985.118.199
Lawrence J. Crane, FLOW PAST A STRETCHING PLATE Zeitschrift für Angewandte Mathematik und Physik. ,vol. 21, pp. 645- 647 ,(1970) , 10.1007/BF01587695
C. Y. Wang, Exact Solutions of the Steady-State Navier-Stokes Equations Annual Review of Fluid Mechanics. ,vol. 23, pp. 159- 177 ,(1991) , 10.1146/ANNUREV.FL.23.010191.001111
Edward R. Benton, On the flow due to a rotating disk Journal of Fluid Mechanics. ,vol. 24, pp. 781- 800 ,(1966) , 10.1017/S0022112066001009
M. Miklavcic, Galerkin approximations for weakly nonlinear second order evolution equations Funkcialaj Ekvacioj. ,vol. 33, pp. 291- 305 ,(1990)