An application of the method of matched asymptotic expansions for low Reynolds number flow past a cylinder of arbitrary cross-section.
Kohr, Mirela (2004)
International Journal of Mathematics and Mathematical Sciences
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Kohr, Mirela (2004)
International Journal of Mathematics and Mathematical Sciences
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Erdoğan, M.Emin, Ịmrak, C.Erdem (2007)
Mathematical Problems in Engineering
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Erdoğan, M.Emin, İmrak, C.Erdem (2008)
Mathematical Problems in Engineering
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Hayat, Tasawar, Wang, Yongqi (2003)
Mathematical Problems in Engineering
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Irene Daprà, Giambattista Scarpi (2004)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We present an analytical solution of plane motion for a Bingham fluid initially at rest subjected to a suddenly applied constant pressure gradient. Using the Laplace transform we obtain expressions which allow a direct easy calculation of the velocity, of the plug thickness and of the rate of flow as function of time.