Self-similar ?diffusion? of momentum in an ideal fluid

Autor:	Yu. L. Yakimov
Rok vydání:	1991
Předmět:	Fluid Flow and Transfer Processes Physics Plane (geometry) Mechanical Engineering Mathematical analysis General Physics and Astronomy Conformal map Perfect fluid Physics::Fluid Dynamics Momentum diffusion Momentum Classical mechanics Flow (mathematics) Compressibility Diffusion (business)
Zdroj:	Fluid Dynamics. 25:555-565
ISSN:	1573-8507 0015-4628
Popis:	It is proposed to consider plane or axisymmetric incompressible flows when at a certain point in space a finite source of momentum is instantaneously created. This type of flow is characterized by the continuous setting in motion of new volumes of fluid with a simultaneous decrease in velocity. It is usual to associate this diffusional process with viscosity [1]. Here it is shown, that such processes can be described within the framework of an ideal fluid. The main concern is to prove the existence of four-parameter plane ideal-fluid flow. The method of constructing the solution is based on the conformal transformation of the dimensionless variable, so that from the relatively simple self-similar solution the unknown flow can be obtained. It is shown that this method can be applied to other problems. The results obtained are compared with the well-known [2] solution of the linearized dipole diffusion problem for the plane motion of a viscous fluid and with certain generalizations of that solution.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::febb9cc0968dfaed40aa7bf48b06cc2f https://doi.org/10.1007/bf01049862 Zobrazit plný text záznamu Full text from SpringerLink