FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W87112949> ?p ?o ?g. }

• W87112949 abstract "Purpose and scope. We study a thin liquid film with a free surface on a uniformly heated substrate. We show that if the fluid is initially in equilibrium with its own vapor in the gas phase, regular surface patterns in the form of long-wave hexagons or stripes having a well defined lateral length scale can be observed. This is in sharp contrast to the case without evaporation where rupture or coarsening to larger and larger patterns is seen in the long time limit. In this way, evaporation could be used for regular structuring of the film surface. We are able to estimate the finite wave length for the simplified case of an extended Cahn-Hilliard equation. Previous work, contribution to the state of the art. Surface patterns of thin liquid films on a solid support were studied during the last decade in numerous experimental and theoretical contributions (see [1, 2, 3, 4] and references therein). Self-organized pattern growth due to an instability mechanism of the initially flat film is often discussed in the long-wavelength or lubrication approximation [2]. There are several mechanisms that may destabilize a flat surface and allow to control the growth of surface patterns. Flat ultra-thin films may become unstable by van der Waals forces between surface and substrate. Thicker films can be destabilized by inhomogeneous tangential surface tensions, which in turn are often caused by lateral gradients of temperature and/or, in mixtures, of concentration [4, 5, 6]. Up to now, most of the theoretical work is based on an interface equation, often called thin film equation, describing the location z = h(x, y, t) of the free surface of the liquid [2, 8]. Additional effects caused by (moderate) evaporation or condensation on the interface can be included easily in the formalism [9, 10]. Previous work shows that in the case of a surfacedriven thermal instability, rupture of the film occurs after a relatively short time [2]. To avoid rupture, a repelling short range interaction can be introduced. Then patterns in the long time limit may be studied and show coarsening, a slow increase of the lateral dimensions of the structures (drops or holes) until one big hole (or drop) eventually remains [6]. Essential results already obtained. In a recent paper [11], we concentrated on the RayleighTaylor instability (RTI) as destabilizing mechanism of the flat surface (fig. 1). If the fluid is heated from below, this usually would stabilize the flat film. As was shown in [7], RTI may occur if the temperature gradient is not too large and film rupture is avoided by the stabilizing Marangoni effect. In previous works, evaporation was considered as a destabilizing mechanism. Here we shall concentrate on the opposite case. Assume that the fluid is heated from below (or cooled" @default.
• W87112949 created "2016-06-24" @default.
• W87112949 creator A5073276322 @default.
• W87112949 creator A5084847589 @default.
• W87112949 date "2008-11-23" @default.
• W87112949 modified "2023-09-23" @default.
• W87112949 title "Regular non-coarsening surface patterns on evaporating heated films" @default.
• W87112949 cites W1547528123 @default.
• W87112949 hasPublicationYear "2008" @default.
• W87112949 type Work @default.
• W87112949 sameAs 87112949 @default.
• W87112949 citedByCount "0" @default.
• W87112949 crossrefType "journal-article" @default.
• W87112949 hasAuthorship W87112949A5073276322 @default.
• W87112949 hasAuthorship W87112949A5084847589 @default.
• W87112949 hasConcept C11135259 @default.
• W87112949 hasConcept C111368507 @default.
• W87112949 hasConcept C120665830 @default.
• W87112949 hasConcept C121130766 @default.
• W87112949 hasConcept C121332964 @default.
• W87112949 hasConcept C126061179 @default.
• W87112949 hasConcept C127313418 @default.
• W87112949 hasConcept C159985019 @default.
• W87112949 hasConcept C162802515 @default.
• W87112949 hasConcept C171250308 @default.
• W87112949 hasConcept C171889981 @default.
• W87112949 hasConcept C184608416 @default.
• W87112949 hasConcept C18762648 @default.
• W87112949 hasConcept C19067145 @default.
• W87112949 hasConcept C192562407 @default.
• W87112949 hasConcept C207016750 @default.
• W87112949 hasConcept C207821765 @default.
• W87112949 hasConcept C2524010 @default.
• W87112949 hasConcept C26873012 @default.
• W87112949 hasConcept C2776799497 @default.
• W87112949 hasConcept C2777289219 @default.
• W87112949 hasConcept C32909587 @default.
• W87112949 hasConcept C33923547 @default.
• W87112949 hasConcept C49040817 @default.
• W87112949 hasConcept C54355233 @default.
• W87112949 hasConcept C57879066 @default.
• W87112949 hasConcept C61441594 @default.
• W87112949 hasConcept C62520636 @default.
• W87112949 hasConcept C6260449 @default.
• W87112949 hasConcept C86803240 @default.
• W87112949 hasConcept C97355855 @default.
• W87112949 hasConceptScore W87112949C11135259 @default.
• W87112949 hasConceptScore W87112949C111368507 @default.
• W87112949 hasConceptScore W87112949C120665830 @default.
• W87112949 hasConceptScore W87112949C121130766 @default.
• W87112949 hasConceptScore W87112949C121332964 @default.
• W87112949 hasConceptScore W87112949C126061179 @default.
• W87112949 hasConceptScore W87112949C127313418 @default.
• W87112949 hasConceptScore W87112949C159985019 @default.
• W87112949 hasConceptScore W87112949C162802515 @default.
• W87112949 hasConceptScore W87112949C171250308 @default.
• W87112949 hasConceptScore W87112949C171889981 @default.
• W87112949 hasConceptScore W87112949C184608416 @default.
• W87112949 hasConceptScore W87112949C18762648 @default.
• W87112949 hasConceptScore W87112949C19067145 @default.
• W87112949 hasConceptScore W87112949C192562407 @default.
• W87112949 hasConceptScore W87112949C207016750 @default.
• W87112949 hasConceptScore W87112949C207821765 @default.
• W87112949 hasConceptScore W87112949C2524010 @default.
• W87112949 hasConceptScore W87112949C26873012 @default.
• W87112949 hasConceptScore W87112949C2776799497 @default.
• W87112949 hasConceptScore W87112949C2777289219 @default.
• W87112949 hasConceptScore W87112949C32909587 @default.
• W87112949 hasConceptScore W87112949C33923547 @default.
• W87112949 hasConceptScore W87112949C49040817 @default.
• W87112949 hasConceptScore W87112949C54355233 @default.
• W87112949 hasConceptScore W87112949C57879066 @default.
• W87112949 hasConceptScore W87112949C61441594 @default.
• W87112949 hasConceptScore W87112949C62520636 @default.
• W87112949 hasConceptScore W87112949C6260449 @default.
• W87112949 hasConceptScore W87112949C86803240 @default.
• W87112949 hasConceptScore W87112949C97355855 @default.
• W87112949 hasLocation W871129491 @default.
• W87112949 hasOpenAccess W87112949 @default.
• W87112949 hasPrimaryLocation W871129491 @default.
• W87112949 hasRelatedWork W191067575 @default.
• W87112949 hasRelatedWork W1968313477 @default.
• W87112949 hasRelatedWork W2000100717 @default.
• W87112949 hasRelatedWork W2036470269 @default.
• W87112949 hasRelatedWork W2046461656 @default.
• W87112949 hasRelatedWork W2051105335 @default.
• W87112949 hasRelatedWork W2057225147 @default.
• W87112949 hasRelatedWork W2058501836 @default.
• W87112949 hasRelatedWork W2058765698 @default.
• W87112949 hasRelatedWork W2060579952 @default.
• W87112949 hasRelatedWork W2072409126 @default.
• W87112949 hasRelatedWork W2107664798 @default.
• W87112949 hasRelatedWork W2117224180 @default.
• W87112949 hasRelatedWork W2142028374 @default.
• W87112949 hasRelatedWork W2276049827 @default.
• W87112949 hasRelatedWork W2323704324 @default.
• W87112949 hasRelatedWork W2519739474 @default.
• W87112949 hasRelatedWork W3009083748 @default.
• W87112949 hasRelatedWork W55980099 @default.
• W87112949 hasRelatedWork W70971769 @default.

• next