Analytical Solution for Laminar Water Hammer With Frequency-Dependent FrictionSource: Journal of Fluids Engineering:;2022:;volume( 144 ):;issue: 011::page 111302Author:Brühl, Martin
DOI: 10.1115/1.4054891Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: An analytic solution for the classical water hammer problem for unsteady laminar pipe flow involving Zielke's frequency-dependent friction model is derived. By means of separation of variables, the solution of the initial boundary value problem is compiled in the form of an infinite series representing its modal expansion. In this way, solving the damped wave equation reduces to root-finding of scalar algebraic equations for the complex eigenfrequencies. An analysis of this dispersion relation underlines the frequency-dependent nature of the solution in comparison with less sophisticated friction models.
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| contributor author | Brühl, Martin | |
| date accessioned | 2022-12-27T23:22:15Z | |
| date available | 2022-12-27T23:22:15Z | |
| date copyright | 8/2/2022 12:00:00 AM | |
| date issued | 2022 | |
| identifier issn | 0098-2202 | |
| identifier other | fe_144_11_111302.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl1/handle/yetl/4288493 | |
| description abstract | An analytic solution for the classical water hammer problem for unsteady laminar pipe flow involving Zielke's frequency-dependent friction model is derived. By means of separation of variables, the solution of the initial boundary value problem is compiled in the form of an infinite series representing its modal expansion. In this way, solving the damped wave equation reduces to root-finding of scalar algebraic equations for the complex eigenfrequencies. An analysis of this dispersion relation underlines the frequency-dependent nature of the solution in comparison with less sophisticated friction models. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Analytical Solution for Laminar Water Hammer With Frequency-Dependent Friction | |
| type | Journal Paper | |
| journal volume | 144 | |
| journal issue | 11 | |
| journal title | Journal of Fluids Engineering | |
| identifier doi | 10.1115/1.4054891 | |
| journal fristpage | 111302 | |
| journal lastpage | 111302_10 | |
| page | 10 | |
| tree | Journal of Fluids Engineering:;2022:;volume( 144 ):;issue: 011 | |
| contenttype | Fulltext |