Solution of the laminar transport equations in complex geometries by means of curvilinear coordinates

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dc.contributor.author Antonopoulos, KA en
dc.date.accessioned 2014-03-01T01:06:59Z
dc.date.available 2014-03-01T01:06:59Z
dc.date.issued 1987 en
dc.identifier.issn 0015-7899 en
dc.identifier.uri https://dspace.lib.ntua.gr/xmlui/handle/123456789/9717
dc.subject.classification Engineering, Multidisciplinary en
dc.subject.classification Engineering, Mechanical en
dc.subject.other ENERGY CONSERVATION en
dc.subject.other HEAT TRANSFER en
dc.subject.other COMPLEX GEOMETRIES en
dc.subject.other TRANSPORT EQUATIONS en
dc.subject.other FLOW OF FLUIDS en
dc.title Solution of the laminar transport equations in complex geometries by means of curvilinear coordinates en
heal.type journalArticle en
heal.identifier.primary 10.1007/BF02558498 en
heal.identifier.secondary http://dx.doi.org/10.1007/BF02558498 en
heal.language English en
heal.publicationDate 1987 en
heal.abstract The standard coordinate systems (i.e. cartesian, cylindrical-polar, spherical-polar or combinations theoreof) which are usually employed in the numerical solution of the transport differential equations, are suitable for simple geometries only. In the present study the momentum, mass and energy conservation equations are expressed in terms of general curvilinear-orthogonal coordinates, which enable the irregularly shaped solution domains, encountered in practice, to be completely mapped i.e. all boundaries to coincide with, coordinate surfaces. A mixed coordinate system is also introduced, which, is curvilinear-orthogonal in, the two of the three directions and rectilinear in the third direction. The latter system gives simpler equations and is suitable for straight flow passages of arbitrary cross sectional shape. The momentum, mass and energy conservation, differential, equations are transformed to finite-difference ones by integration over six-sided control volumes formed by coordinate surfaces and are then solved by an iterative procedure. The method is tested successfully in various flow and heat transfer cases. © 1987 VDI Verlag GmbH. en
heal.publisher Springer-Verlag en
heal.journalName Forschung im Ingenieurwesen en
dc.identifier.doi 10.1007/BF02558498 en
dc.identifier.isi ISI:A1987G728400004 en
dc.identifier.volume 53 en
dc.identifier.issue 2 en
dc.identifier.spage 51 en
dc.identifier.epage 59 en

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