Hidden Invariances in Problems of Two-Dimensional and Three-Dimensional Wall Jets for Newtonian and Non-Newtonian Fluids

Autor:	Igor I. Lipatov, Rouslan Krechetnikov
Rok vydání:	2002
Předmět:	Conservation law Work (thermodynamics) Applied Mathematics Mathematical analysis Prandtl number Vinogradov Context (language use) Non-Newtonian fluid Physics::Fluid Dynamics Boundary layer symbols.namesake Classical mechanics Newtonian fluid symbols Mathematics
Zdroj:	SIAM Journal on Applied Mathematics. 62:1837-1855
ISSN:	1095-712X 0036-1399
DOI:	10.1137/s0036139900378906
Popis:	This work is devoted to the investigation of self-similar solutions for steady wall jets. The problem is considered in the context of two- and three-dimensional Prandtl boundary layer equations, and three-dimensional parabolized Navier--Stokes equations for Newtonian and non-Newtonian fluids. In contrast to dimensional analysis, which does not allow the determination of self-similar solutions in this case, a generating functions approach elaborated by Vinogradov [Soviet Math. Dokl., 19 (1978), pp. 144--148] enables one to derive conservation laws for the above-mentioned problems and, as a consequence, to find new self-similarities of the Navier--Stokes equations.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::0f4ffac67e82599f86c6bc48fe305385 https://doi.org/10.1137/s0036139900378906 Zobrazit plný text záznamu Plný text ve formátu PDF