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.
Instability of Viscoelastic Fluids in Blasius Flow
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Doostmohammadi, A, & Mortazavi, SN. "Instability of Viscoelastic Fluids in Blasius Flow." Proceedings of the ASME 2010 10th Biennial Conference on Engineering Systems Design and Analysis. ASME 2010 10th Biennial Conference on Engineering Systems Design and Analysis, Volume 3. Istanbul, Turkey. July 12–14, 2010. pp. 385-393. ASME. https://doi.org/10.1115/ESDA2010-24315
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