Instability of Viscoelastic Fluids in Blasius Flow
Keyword(s):
In this paper, we study the hydrodynamic stability of a viscoelastic Walters B liquid in the Blasius flow. A linearized stability analysis is used and orthogonal polynomials which are related to de Moivre’s formula are implemented to solve Orr–Sommerfeld eigenvalue equation. An analytical approach is used in order to find the conditions of instability for Blasius flow and Critical Reynolds number is found for various combinations of the elasticity number. Based on the results, the destabilizing effect of elasticity on Blasius flow is determined and interpreted.
1999 ◽
Vol 382
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pp. 331-349
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1971 ◽
Vol 49
(2)
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pp. 305-318
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1996 ◽
Vol 322
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pp. 215-241
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1957 ◽
Vol 238
(1215)
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pp. 489-501
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2010 ◽
Vol 644
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pp. 395-431
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2007 ◽
Vol 587
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pp. 453-469
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