Unknown

Dataset Information

0

Forced wave motion with internal and boundary damping.


ABSTRACT: 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.

SUBMITTER: Louw T 

PROVIDER: S-EPMC3262849 | biostudies-other | 2012 Jan

REPOSITORIES: biostudies-other

Similar Datasets

| S-EPMC8233446 | biostudies-literature
| S-EPMC5829085 | biostudies-literature
| S-EPMC4138518 | biostudies-literature
| S-EPMC7889630 | biostudies-literature
| S-EPMC8026216 | biostudies-literature
| S-EPMC7607910 | biostudies-literature
| S-EPMC2868237 | biostudies-literature
| S-EPMC3007646 | biostudies-literature
| S-EPMC7712558 | biostudies-literature
| S-EPMC5150651 | biostudies-literature