Mechanics of a Free-Surface Liquid Film FlowSource: Journal of Applied Mechanics:;1987:;volume( 054 ):;issue: 004::page 951Author:Cyrus K. Aidun
DOI: 10.1115/1.3173144Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The mechanics of a free surface viscous liquid curtain flowing steadily between two vertical guide wires under the influence of gravity is investigated. The Navier-Stokes equation is integrated over the film thickness and an integro-differential equation is derived for the average film velocity. An approximate nonlinear differential equation, attributed to G. I. Taylor, is obtained by neglecting the higher order terms. An analytical solution is obtained for a similar equation which neglects the surface tension effects and the results are compared with the experimental measurements of Brown (1961).
keyword(s): Flow (Dynamics) , Liquid films , Equations , Film thickness , Gravity (Force) , Surface tension , Measurement , Wire , Navier-Stokes equations AND Nonlinear differential equations ,
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| contributor author | Cyrus K. Aidun | |
| date accessioned | 2017-05-08T23:24:02Z | |
| date available | 2017-05-08T23:24:02Z | |
| date copyright | December, 1987 | |
| date issued | 1987 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-26288#951_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/102032 | |
| description abstract | The mechanics of a free surface viscous liquid curtain flowing steadily between two vertical guide wires under the influence of gravity is investigated. The Navier-Stokes equation is integrated over the film thickness and an integro-differential equation is derived for the average film velocity. An approximate nonlinear differential equation, attributed to G. I. Taylor, is obtained by neglecting the higher order terms. An analytical solution is obtained for a similar equation which neglects the surface tension effects and the results are compared with the experimental measurements of Brown (1961). | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Mechanics of a Free-Surface Liquid Film Flow | |
| type | Journal Paper | |
| journal volume | 54 | |
| journal issue | 4 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3173144 | |
| journal fristpage | 951 | |
| journal lastpage | 954 | |
| identifier eissn | 1528-9036 | |
| keywords | Flow (Dynamics) | |
| keywords | Liquid films | |
| keywords | Equations | |
| keywords | Film thickness | |
| keywords | Gravity (Force) | |
| keywords | Surface tension | |
| keywords | Measurement | |
| keywords | Wire | |
| keywords | Navier-Stokes equations AND Nonlinear differential equations | |
| tree | Journal of Applied Mechanics:;1987:;volume( 054 ):;issue: 004 | |
| contenttype | Fulltext |