A numerical solution of the blade-to-blade flow in turbomachines by the application of a transformation on the S1 stream surface

Papantonis, D; Bergeles, G

dc.contributor.author	Papantonis, D	en
dc.contributor.author	Bergeles, G	en
dc.date.accessioned	2014-03-01T01:06:31Z
dc.date.available	2014-03-01T01:06:31Z
dc.date.issued	1986	en
dc.identifier.issn	0001-5970	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9439
dc.subject	Coordinate System	en
dc.subject	Differential Equation	en
dc.subject	Numerical Solution	en
dc.subject	Three Dimensional	en
dc.subject	3 dimensional	en
dc.subject.classification	Mechanics	en
dc.subject.other	FLOW OF FLUIDS - Cascades	en
dc.subject.other	MATHEMATICAL TECHNIQUES - Differential Equations	en
dc.subject.other	BLADE-TO-BLADE FLOW	en
dc.subject.other	RELAXATION METHOD	en
dc.subject.other	S1 STREAM SURFACE TRANSFORMATION	en
dc.subject.other	TURBOMACHINERY	en
dc.title	A numerical solution of the blade-to-blade flow in turbomachines by the application of a transformation on the S1 stream surface	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF01450390	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF01450390	en
heal.language	English	en
heal.publicationDate	1986	en
heal.abstract	The solution of the blade-to-blade (quasi-3-dimensional) steady, inviscid flow in turbomachines is considered as a quantitative prediction of the flow and as a good approximation of the real three-dimensional flow. The well known governing differential equation is of elliptic type and its numerical solution is a rather difficult problem (taking also into account the complex form of the S1 stream surface). By the procedure proposed, the S1 stream surface in the (m, θ) coordinate system is transformed into a rectangular (x,, y, space, by the application of the following transformation:x=m/L, (θ-θ1)/(θ2-θ1), whereθ1 and θ2 are the angular positions of the lines limiting the S1 surface, and L the length of the meridional projection of the blade. By the introduction of this transformation, extra terms are added to the differential equation, but now the definition of the grid is easier. From the transformed differential equation, a system of algebraic equations is obtained applying the finite volume method. The system of algebraic equations is solved by a relaxation method with periodic boundary conditions. The grid applied in the (x, y) coordinate system is not of uniform density in order to define better the geometry of the blades near the leading and trailing edges. Finally the results from the application of the procedure on a centrifugal, mixed flow pump are presented; i.e. relative velocity and static pressure distribution along the blade surfaces. © 1986 Springer-Verlag.	en
heal.publisher	Springer-Verlag	en
heal.journalName	Acta Mechanica	en
dc.identifier.doi	10.1007/BF01450390	en
dc.identifier.isi	ISI:A1986G133200002	en
dc.identifier.volume	64	en
dc.identifier.issue	3-4	en
dc.identifier.spage	141	en
dc.identifier.epage	153	en