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Stability of Liquid Film with Negligible Viscosity
Author(s) -
Hamsa Saleem
Publication year - 2005
Publication title -
maǧallaẗ al-rāfidayn li-ʿulūm al-ḥāsibāt wa-al-riyāḍiyyāẗ/˜al-œrafidain journal for computer sciences and mathematics
Language(s) - English
Resource type - Journals
eISSN - 2311-7990
pISSN - 1815-4816
DOI - 10.33899/csmj.2005.164063
Subject(s) - inertia , viscosity , flow (mathematics) , compressibility , partial differential equation , mechanics , stability (learning theory) , mathematics , physics , mathematical analysis , classical mechanics , thermodynamics , computer science , machine learning
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.

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