Free Surface Model Derived From the Analytical Solution of Stokes Flow in a WedgeSource: Journal of Fluids Engineering:;2009:;volume( 131 ):;issue: 004::page 41205Author:R. W. Hewson
DOI: 10.1115/1.3089540Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The formation of a thin liquid film onto a moving substrate is a commonly encountered industrial process, and one that is encountered in lubrication, oil extraction processes, and coating flows. The formation of such a film is analyzed via the analytical Stokes flow solution for the flow in a wedge bounded on one side by a free surface and on the other by a moving surface. The full solution is obtained by numerically integrating a set of ordinary differential equations from far downstream, in the region of the final film thickness. The results show excellent agreement with the results obtained by the Bretherton equation, the Ruschak equation, the Coyne and Elrod model, and a two-dimensional free surface finite element simulation of the problem.
keyword(s): Flow (Dynamics) , Lubrication , Coating processes , Coatings , Creeping flow , Equations , Film thickness , Wedges , Finite element analysis , Finite element model , Boundary-value problems , Finite element methods , Differential equations AND Lubrication theory ,
|
Collections
Show full item record
| contributor author | R. W. Hewson | |
| date accessioned | 2017-05-09T00:33:14Z | |
| date available | 2017-05-09T00:33:14Z | |
| date copyright | April, 2009 | |
| date issued | 2009 | |
| identifier issn | 0098-2202 | |
| identifier other | JFEGA4-27368#041205_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/140759 | |
| description abstract | The formation of a thin liquid film onto a moving substrate is a commonly encountered industrial process, and one that is encountered in lubrication, oil extraction processes, and coating flows. The formation of such a film is analyzed via the analytical Stokes flow solution for the flow in a wedge bounded on one side by a free surface and on the other by a moving surface. The full solution is obtained by numerically integrating a set of ordinary differential equations from far downstream, in the region of the final film thickness. The results show excellent agreement with the results obtained by the Bretherton equation, the Ruschak equation, the Coyne and Elrod model, and a two-dimensional free surface finite element simulation of the problem. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Free Surface Model Derived From the Analytical Solution of Stokes Flow in a Wedge | |
| type | Journal Paper | |
| journal volume | 131 | |
| journal issue | 4 | |
| journal title | Journal of Fluids Engineering | |
| identifier doi | 10.1115/1.3089540 | |
| journal fristpage | 41205 | |
| identifier eissn | 1528-901X | |
| keywords | Flow (Dynamics) | |
| keywords | Lubrication | |
| keywords | Coating processes | |
| keywords | Coatings | |
| keywords | Creeping flow | |
| keywords | Equations | |
| keywords | Film thickness | |
| keywords | Wedges | |
| keywords | Finite element analysis | |
| keywords | Finite element model | |
| keywords | Boundary-value problems | |
| keywords | Finite element methods | |
| keywords | Differential equations AND Lubrication theory | |
| tree | Journal of Fluids Engineering:;2009:;volume( 131 ):;issue: 004 | |
| contenttype | Fulltext |