| Autor: |
Anu Subramanian, Scott E. Whitney, Tobias M. Louw, Hendrik J. Viljoen |
| Rok vydání: |
2011 |
| Předmět: |
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| Zdroj: |
Journal of applied physics. 111(1) |
| ISSN: |
0021-8979 |
| Popis: |
A d'Alembert-based solution of forced wave motion with internal and boundary damping is presented with the specific intention of investigating the transient response. The dynamic boundary condition is a convenient method to model the absorption and reflection effects of an interface without considering coupled PDE's. Problems with boundary condition of the form [Formula: see text] are not self-adjoint which greatly complicates solution by spectral analysis. However, exact solutions are found with d'Alembert's method. Solutions are also derived for a time-harmonically forced problem with internal damping and are used to investigate the effect of ultrasound in a bioreactor, particularly the amount of energy delivered to cultured cells. The concise form of the solution simplifies the analysis of acoustic field problems. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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