Similarity Solutions for the Interaction of a Potential Vortex With Free Stream Sink Flow and a Stationary SurfaceSource: Journal of Fluids Engineering:;1974:;volume( 096 ):;issue: 001::page 49Author:J. A. Hoffmann
DOI: 10.1115/1.3447096Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Similarity equations, using an assumed transformation which reduces the partial differential equations to sets of ordinary differential equations, are obtained from the boundary layer and the complete Navier-Stokes equations for the interaction of vortex flows with free stream sink flows and a stationary surface. Solutions to the boundary layer equations for the case of the potential vortex that satisfy the prescribed boundary conditions are shown to be nonexistent using the assumed transformation. Direct numerical integration is used to obtain solutions to the complete Navier-Stokes equations under a potential vortex with equal values of tangential and radial free stream velocities. Solutions are found for Reynolds numbers up to 2.0.
keyword(s): Flow (Dynamics) , Vortices , Equations , Navier-Stokes equations , Boundary layers , Differential equations , Reynolds number , Partial differential equations , Vortex flow AND Boundary-value problems ,
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| contributor author | J. A. Hoffmann | |
| date accessioned | 2017-05-09T01:38:25Z | |
| date available | 2017-05-09T01:38:25Z | |
| date copyright | March, 1974 | |
| date issued | 1974 | |
| identifier issn | 0098-2202 | |
| identifier other | JFEGA4-26853#49_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/164927 | |
| description abstract | Similarity equations, using an assumed transformation which reduces the partial differential equations to sets of ordinary differential equations, are obtained from the boundary layer and the complete Navier-Stokes equations for the interaction of vortex flows with free stream sink flows and a stationary surface. Solutions to the boundary layer equations for the case of the potential vortex that satisfy the prescribed boundary conditions are shown to be nonexistent using the assumed transformation. Direct numerical integration is used to obtain solutions to the complete Navier-Stokes equations under a potential vortex with equal values of tangential and radial free stream velocities. Solutions are found for Reynolds numbers up to 2.0. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Similarity Solutions for the Interaction of a Potential Vortex With Free Stream Sink Flow and a Stationary Surface | |
| type | Journal Paper | |
| journal volume | 96 | |
| journal issue | 1 | |
| journal title | Journal of Fluids Engineering | |
| identifier doi | 10.1115/1.3447096 | |
| journal fristpage | 49 | |
| journal lastpage | 54 | |
| identifier eissn | 1528-901X | |
| keywords | Flow (Dynamics) | |
| keywords | Vortices | |
| keywords | Equations | |
| keywords | Navier-Stokes equations | |
| keywords | Boundary layers | |
| keywords | Differential equations | |
| keywords | Reynolds number | |
| keywords | Partial differential equations | |
| keywords | Vortex flow AND Boundary-value problems | |
| tree | Journal of Fluids Engineering:;1974:;volume( 096 ):;issue: 001 | |
| contenttype | Fulltext |