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Keywords

Stability Analysis
unsteady flow
incompressible flow
Viscosity
inertia forces
Partial differential equations
Navier - Stokes equations

Abstract

In this paper, we consider the stability analysis for a disturbed unsteady flow, which is two-dimensional incompressible flow in a symmetric film where the effect of viscosity can be neglected in comparison with inertia forces. The partial differential equations governing such flow are obtained from the Navier - Stokes equations and we obtain an analytic solution for those equations. The whole system is disturbed and we found the regions where the flow is stable or unstable.  
https://doi.org/10.33899/csmj.2005.164063
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