Evolution of the flow field associated with a streamwise diffusing vortex

Autor:	Frederick H. Abernathy, C. Frederick Pearson
Rok vydání:	1984
Předmět:	Physics Convection Mechanical Engineering Reynolds number Mechanics Condensed Matter Physics Vortex Physics::Fluid Dynamics Shear (sheet metal) Viscosity symbols.namesake Circulation (fluid dynamics) Flow (mathematics) Mechanics of Materials Condensed Matter::Superconductivity symbols Shear flow
Zdroj:	Journal of Fluid Mechanics. 146:271-283
ISSN:	1469-7645 0022-1120
DOI:	10.1017/s0022112084001853
Popis:	The evolution of a shear flow with an imbedded streamwise vortex is considered. An idealized model for the vortical structure is used; the vortex is assumed to be of infinite extent in the stream direction, and to be a potential vortex (vortex filament) turned on at time zero, and subsequently allowed to diffuse under the action of viscosity. The ambient flow is taken to be, initially, a linear shear profile; the flow then evolves under the joint action of viscosity and convection induced by the vortex. Boundaries are assumed to be infinitely removed from the vortex core. A similarity variable is found which reduces the equation for the induced streamwise velocity perturbation to an ordinary differential equation, which is easily solved numerically. The vortex Reynolds number, circulation/viscosity, is found to be of prime importance. Calculated velocity profiles are presented.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::1bfe8fbb99cb6c5cf3982b45b01317ad https://doi.org/10.1017/s0022112084001853 Zobrazit plný text záznamu