BAIL 2006 Book of Abstracts - Institut für Numerische und ...
BAIL 2006 Book of Abstracts - Institut für Numerische und ...
BAIL 2006 Book of Abstracts - Institut für Numerische und ...
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Z.HAMMOUCH: Similarity solutions <strong>of</strong> a power-law non-Newtonian laminar bo<strong>und</strong>ary<br />
layer flows<br />
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Similarity solutions <strong>of</strong> a power-law non-Newtonian laminar bo<strong>und</strong>ary<br />
layer flows<br />
Z. Hammouch<br />
LAMFA, CNRS UMR 6140, Université de Picardie Jules Verne,<br />
Faculté de Mathématiques et d’Informatique, 33, rue Saint-Leu 80039 Amiens, France<br />
Abstract<br />
A steady–state laminar bo<strong>und</strong>ary layer flow, governed by the Ostwald-de Waele power–law model <strong>of</strong> a non–Newtonian<br />
fluid past a semi-infinite plate is considered. The Blasius method is used to find similarity solutions. Under appropriate<br />
assumptions, partial differential equations are transformed into an autonomous third–order nonlinear degenerate ordinary<br />
differential equation with bo<strong>und</strong>ary conditions. We establish the existence <strong>of</strong> an infinite family <strong>of</strong> unbo<strong>und</strong>ed global<br />
solutions. The asymptotic behavior is also discussed. Some properties <strong>of</strong> those solutions depend on the power–law index.<br />
Keywords: Bo<strong>und</strong>ary–layer; Power–law fluid; Degenerate differential equation; Global existence; Asymptotic behavior; Similarity<br />
solutions.<br />
MSC: 34B15; 34B40; 76D10; 76M55 .<br />
PACS: 47.15, 47.27 Te .<br />
Speaker: HAMMOUCH, Z. 87 <strong>BAIL</strong> <strong>2006</strong><br />
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