In the present work, the effect of fluid’s elasticity was investigated on the hydrodynamic instability of Blasius flow. To determine the critical Reynolds number as a function of the elasticity number, a two-dimensional linear temporal stability analysis was invoked. The viscoelastic fluid is assumed to obey the Walters’ B fluid model for which base flow velocity profiles were fortunately available from literature. Neglecting terms nonlinear in the perturbation quantities, a Generalized Orr-Sommerfeld equation was obtained incorporating an elastic term. The eigenvalue problem so obtained was solved numerically using the Chebychev collocation-point method. Based on the results obtained in this work, fluid’s elasticity is predicted to have a destabilizing effect on the Blasius flow.
Khabbazi,N and Sadeghy,K . (2009). Instability of Viscoelastic Fluids in Nearly Parallel Flows: a Pseudo-Spectral Analysis. (e20260). University College of Engineering, 43(1), e20260
MLA
Khabbazi,N , and Sadeghy,K . "Instability of Viscoelastic Fluids in Nearly Parallel Flows: a Pseudo-Spectral Analysis" .e20260 , University College of Engineering, 43, 1, 2009, e20260.
HARVARD
Khabbazi N, Sadeghy K. (2009). 'Instability of Viscoelastic Fluids in Nearly Parallel Flows: a Pseudo-Spectral Analysis', University College of Engineering, 43(1), e20260.
CHICAGO
N Khabbazi and K Sadeghy, "Instability of Viscoelastic Fluids in Nearly Parallel Flows: a Pseudo-Spectral Analysis," University College of Engineering, 43 1 (2009): e20260,
VANCOUVER
Khabbazi N, Sadeghy K. Instability of Viscoelastic Fluids in Nearly Parallel Flows: a Pseudo-Spectral Analysis. University College of Engineering. 2009;43(1):e20260 (In Persian).
