Asymptotic solution of the low Reynolds-number flow between two co-axial cones of common apex.
Serag-Eldin, M.A., Gayed, Y.K. (1984)
International Journal of Mathematics and Mathematical Sciences
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Serag-Eldin, M.A., Gayed, Y.K. (1984)
International Journal of Mathematics and Mathematical Sciences
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Kolumban Hutter (1985)
Banach Center Publications
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V. M. Soundalgekar (1971)
Matematički Vesnik
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H. Kalisch (2012)
Mathematical Modelling of Natural Phenomena
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Two-dimensional inviscid channel flow of an incompressible fluid is considered. It is shown that if the flow is steady and features no horizontal stagnation, then the flow must necessarily be a parallel shear flow.
William E. Fitzgibbon (1988)
Czechoslovak Mathematical Journal
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D. V. Krishna (1966)
Applicationes Mathematicae
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Marshall J. Leitman, Epifanio G. Virga (1988)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
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We show that the smooth bounded channel flows of a viscoelastic fluid exhibit the following qualitative feature: Whenever the channel is sufficiently wide, any bounded velocity field satisfying the homogeneous equation of motion is such that if the flow stops at some time, then the flow is never unidirectional throughout the channel. We first demonstrate the qualitative property of the bounded channel flows. Then we show explicitly how a piecewise linear approximation of a relaxation...