On stability of a capillary liquid down an inclined plane
| Autor: | Mariarosaria Padula |
|---|---|
| Rok vydání: | 2013 |
| Předmět: |
Physics
Surface (mathematics) business.product_category Plane (geometry) Applied Mathematics Mathematical analysis Boundary (topology) Laminar flow Hagen–Poiseuille equation Physics::Fluid Dynamics Incompressible flow Free boundary problem Discrete Mathematics and Combinatorics Inclined plane business Analysis |
| Zdroj: | Discrete & Continuous Dynamical Systems - S. 6:1343-1353 |
| ISSN: | 1937-1179 |
| DOI: | 10.3934/dcdss.2013.6.1343 |
| Popis: | We consider capillary laminar fluid motions on an inclined plane and study spatially periodic surface waves with fixed periodicity on the line of maximum slope $\alpha_1$ and in the horizontal direction $\alpha_2$. Actually, we provide a sufficient condition on Reynolds and Weber numbers, and on the inclination angle, named condition (C), in order that the Poiseuille flow $(v_b,p_b,\Gamma_b)$ with upper flat free boundary $\Gamma_b$ and with periodicity conditions on the plane, is nonlinearly stable. Under condition (C), the perturbed surface $\Gamma_t$ is bounded for all time, and the free boundary Poiseuille flow is stable. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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