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Nonlinear resonant oscillations of gas in optimized acoustical resonators and the effect of central blockage (Document No: 20030017840)
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Raman, Ganesh Steinetz, Bruce M. Li, Xiaofan Daniels, Christopher Finkbeiner, Joshua |
| Copyright Year | 2003 |
| Description | Optimizing resonator shapes for maximizing the ratio of maximum to minimum gas pressure at an end of the resonator is investigated numerically. It is well known that the resonant frequencies and the nonlinear standing waveform in an acoustical resonator strongly depend on the resonator geometry. A quasi-Newton type scheme was used to find optimized axisymmetric resonator shapes achieving the maximum pressure compression ratio with an acceleration of constant amplitude. The acoustical field was solved using a one-dimensional model, and the resonance frequency shift and hysteresis effects were obtained through an automation scheme based on continuation method. Results are presented for optimizing three types of geometry: a cone, a horn-cone and a half cosine-shape. For each type, different optimized shapes were found when starting with different initial guesses. Further, the one-dimensional model was modified to study the effect of an axisymmetric central blockage on the nonlinear standing wave. |
| File Size | 818643 |
| Page Count | 15 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_20030017840 |
| Archival Resource Key | ark:/13960/t2799487n |
| Language | English |
| Publisher Date | 2003-02-01 |
| Access Restriction | Open |
| Subject Keyword | Acoustics Standing Waves Frequency Shift Compression Ratio Resonant Frequencies Sound Fields Oscillations Pressure Ratio Nonlinearity Mathematical Models Gas Pressure Symmetry Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Technical Report |
