The Motion of a Flat-Plate Pendulum in a Viscous FluidSource: Journal of Manufacturing Science and Engineering:;1969:;volume( 091 ):;issue: 004::page 1100DOI: 10.1115/1.3591754Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The motion of an infinite, flat plate undergoing free oscillations as a submerged pendulum in a viscous fluid is analyzed. An analytical solution has been obtained through a simultaneous solution of the equation of motion for the plate, the drag force relationship, and the boundary-layer equations for the case of laminar, incompressible, unsteady flow. Expressions for the displacement and velocity of the plate appear as the sum of a damped harmonic oscillation and a particular solution which decays asymptotically to zero with increasing time. The period and logarithmic decrement are expressed as functions of a single parameter which contains the physical properties of the fluid and dimensions of the system. Predicted values of plate displacement, plate velocity, amplitude ratio, and damped oscillation period are compared to the results of an experimental investigation performed in water and a light oil.
keyword(s): Fluids , Motion , Flat plates , Pendulums , Oscillations , Displacement , Equations , Force , Dimensions , Drag (Fluid dynamics) , Equations of motion , Boundary layers , Unsteady flow , Water AND Functions ,
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| contributor author | J. P. Ries | |
| contributor author | W. G. Harrach | |
| date accessioned | 2017-05-09T00:23:34Z | |
| date available | 2017-05-09T00:23:34Z | |
| date copyright | November, 1969 | |
| date issued | 1969 | |
| identifier issn | 1087-1357 | |
| identifier other | JMSEFK-27546#1100_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/135656 | |
| description abstract | The motion of an infinite, flat plate undergoing free oscillations as a submerged pendulum in a viscous fluid is analyzed. An analytical solution has been obtained through a simultaneous solution of the equation of motion for the plate, the drag force relationship, and the boundary-layer equations for the case of laminar, incompressible, unsteady flow. Expressions for the displacement and velocity of the plate appear as the sum of a damped harmonic oscillation and a particular solution which decays asymptotically to zero with increasing time. The period and logarithmic decrement are expressed as functions of a single parameter which contains the physical properties of the fluid and dimensions of the system. Predicted values of plate displacement, plate velocity, amplitude ratio, and damped oscillation period are compared to the results of an experimental investigation performed in water and a light oil. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | The Motion of a Flat-Plate Pendulum in a Viscous Fluid | |
| type | Journal Paper | |
| journal volume | 91 | |
| journal issue | 4 | |
| journal title | Journal of Manufacturing Science and Engineering | |
| identifier doi | 10.1115/1.3591754 | |
| journal fristpage | 1100 | |
| journal lastpage | 1104 | |
| identifier eissn | 1528-8935 | |
| keywords | Fluids | |
| keywords | Motion | |
| keywords | Flat plates | |
| keywords | Pendulums | |
| keywords | Oscillations | |
| keywords | Displacement | |
| keywords | Equations | |
| keywords | Force | |
| keywords | Dimensions | |
| keywords | Drag (Fluid dynamics) | |
| keywords | Equations of motion | |
| keywords | Boundary layers | |
| keywords | Unsteady flow | |
| keywords | Water AND Functions | |
| tree | Journal of Manufacturing Science and Engineering:;1969:;volume( 091 ):;issue: 004 | |
| contenttype | Fulltext |