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Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/1460

Authors: SELESCU, R
Keywords: rotational flow of an inviscid fluid, steady and unsteady flows,
, isentropic (Bernoulli’s) surfaces, the general nonlinear PDE of
the velocity quasi-potential for a certain isoenergetic flow of an inviscid fluid
Issue Date: 2006
Publisher: Transilvania University Press of Braşov
Citation: Google Scholar
Series/Report no.: CN Mecanica fluidelor 2006;337-347
Abstract: A model of a certain flow of an inviscid fluid is introduced, in order to establish a simpler form of general PDE of the velocity “quasi-potential” for the isoenergetic flows. This model consists mainly in using a new three-orthogonal system of curvilinear coordinates (one of them being tied to the local specific entropy value). The choice of this new orthogonal curvilinear coordinate system (with two coordinate curves lying on the “isentropic” surfaces) presents the advantage of enabling the treatment of any 3-D flow (even rotational) as a “quasi-potential” 2-D one, on the respective “isentropic” rigid surfaces (having different constant values of the specific entropy) - analogous to the “D. Bernoulli’s” ones (in the case of a barotropic fluid) - introducing a 2-D velocity “quasi-potential”, specific to any isentropic surface. On these surfaces the streamlines are orthogonal paths of a family of lines of equal velocity “quasi-potential”. The work deals with the steady as well as unsteady flows, in both cases giving first integrals for the equation of motion.
URI: http://hdl.handle.net/123456789/1460
ISSN: 1223-964 X
Appears in Collections:CN Mecanica Fluidelor 2006
CN Mecanica Fluidelor 2006

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