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., & Sadeghy, K. (2009). Instability of Viscoelastic Fluids in Nearly Parallel Flows: a Pseudo-Spectral Analysis. University College of Engineering, 43(1), -.
MLA
Navid Khabbazi; Keyvan Sadeghy. "Instability of Viscoelastic Fluids in Nearly Parallel Flows: a Pseudo-Spectral Analysis", University College of Engineering, 43, 1, 2009, -.
HARVARD
Khabbazi, N., Sadeghy, K. (2009). 'Instability of Viscoelastic Fluids in Nearly Parallel Flows: a Pseudo-Spectral Analysis', University College of Engineering, 43(1), pp. -.
VANCOUVER
Khabbazi, N., Sadeghy, K. Instability of Viscoelastic Fluids in Nearly Parallel Flows: a Pseudo-Spectral Analysis. University College of Engineering, 2009; 43(1): -.
)