A reduced model for fingering instability in miscible displacement

Autor:	Michael L. Frankel, Alexander Joseph Babchin, Gregory I. Sivashinsky, Irina Brailovsky
Rok vydání:	2007
Předmět:	Physics::Fluid Dynamics Vertical channel Physics Viscosity Dynamics (mechanics) Flow (psychology) General Physics and Astronomy Thermodynamics Mechanics Background flow Displacement (fluid) Instability Reduced model
Zdroj:	Physics Letters A. 369:212-217
ISSN:	0375-9601
Popis:	The classical problem of fingering instability in miscible displacement is revisited. The finger-forming dynamics is considered as a multiple-scale process involving a thin inter-diffusion layer and large-scale background flow affected by the viscosity and/or density stratification. Upon an appropriate separation of ‘fast’ and ‘slow’ variables one ends up with a reduced model dealing directly with the evolving displacement front. As an illustration, the new model is applied for description of fingering in a source-supported flow and in a flow within a vertical channel.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::1886a9154fdb0ded17b242e92ca6a980 https://doi.org/10.1016/j.physleta.2007.04.087 Zobrazit plný text záznamu Full Text from ScienceDirect