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

Antonopoulos, KA

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	CURVILINEAR COORDINATES	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