The Phase-Plane Topology of the Simple Surge-Tank EquationSource: Journal of Fluids Engineering:;1961:;volume( 083 ):;issue: 004::page 700Author:A. W. Marris
DOI: 10.1115/1.3662303Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: An investigation of the phase-plane solution curves of the nonlinear differential equation describing the motion of the water level in a simple surge tank operating in conjunction with a turbine governed for constant hydraulic power acceptance. The phase-plane solution picture is developed by determining the form of the solution of the equation near each of its singularities. The picture enables prediction and interpretation of instability and drainage phenomena.
keyword(s): Equations , Surges , Topology , Water , Nonlinear differential equations , Drainage , Motion AND Turbines ,
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| contributor author | A. W. Marris | |
| date accessioned | 2017-05-09T01:35:18Z | |
| date available | 2017-05-09T01:35:18Z | |
| date copyright | December, 1961 | |
| date issued | 1961 | |
| identifier issn | 0098-2202 | |
| identifier other | JFEGA4-27234#700_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/163197 | |
| description abstract | An investigation of the phase-plane solution curves of the nonlinear differential equation describing the motion of the water level in a simple surge tank operating in conjunction with a turbine governed for constant hydraulic power acceptance. The phase-plane solution picture is developed by determining the form of the solution of the equation near each of its singularities. The picture enables prediction and interpretation of instability and drainage phenomena. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | The Phase-Plane Topology of the Simple Surge-Tank Equation | |
| type | Journal Paper | |
| journal volume | 83 | |
| journal issue | 4 | |
| journal title | Journal of Fluids Engineering | |
| identifier doi | 10.1115/1.3662303 | |
| journal fristpage | 700 | |
| journal lastpage | 707 | |
| identifier eissn | 1528-901X | |
| keywords | Equations | |
| keywords | Surges | |
| keywords | Topology | |
| keywords | Water | |
| keywords | Nonlinear differential equations | |
| keywords | Drainage | |
| keywords | Motion AND Turbines | |
| tree | Journal of Fluids Engineering:;1961:;volume( 083 ):;issue: 004 | |
| contenttype | Fulltext |