Forced wave motion with internal and boundary damping

Tobias Louw, Scott Whitney, Anuradha Subramanian, Hendrik J Viljoen

Research output: Contribution to journalArticle

7 Citations (Scopus)

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 δw/δz + α̃δw/δt = 0 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.

Original languageEnglish (US)
Article number014702
JournalJournal of Applied Physics
Volume111
Issue number1
DOIs
StatePublished - Jan 1 2012

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damping
boundary conditions
bioreactors
pulse detonation engines
transient response
cultured cells
spectrum analysis
acoustics
energy

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Forced wave motion with internal and boundary damping. / Louw, Tobias; Whitney, Scott; Subramanian, Anuradha; Viljoen, Hendrik J.

In: Journal of Applied Physics, Vol. 111, No. 1, 014702, 01.01.2012.

Research output: Contribution to journalArticle

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