{ "id": "0803.1254", "version": "v1", "published": "2008-03-08T16:54:17.000Z", "updated": "2008-03-08T16:54:17.000Z", "title": "Thermocapillary fluid and adiabatic waves near the critical point", "authors": [ "Henri Gouin" ], "comment": "Reference: ISBN 981-238-748-X; 15 pages and 1 figure", "journal": "Thermocapillary fluid and adiabatic waves near the critical point, World Scientific (Ed.) (2004) p.p. 254-268", "categories": [ "math-ph", "math.MP", "physics.class-ph" ], "abstract": "Isothermal interfacial zones are investigated starting from a local energy which can be considered as the sum of two terms: one corresponding to a medium with a uniform composition equal to the local one and a second one associated with the non-uniformity of the fluid. In an extended van der Waals theory, the volume internal energy is proposed with a gradient expansion depending not only on the gradient of density but also on the gradient of entropy. We obtain the equation of conservative motions for non-homogeneous fluids near its critical point. For such a medium, it is not possible to obtain shock waves. The waves are tangential to the interface and the wave celerity is expressed depending on thermodynamic conditions at the critical point.", "revisions": [ { "version": "v1", "updated": "2008-03-08T16:54:17.000Z" } ], "analyses": { "keywords": [ "critical point", "adiabatic waves", "thermocapillary fluid", "extended van der waals theory", "uniform composition equal" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0803.1254G" } } }