A note on acoustic propagation in power-law fluids: Compact kinks, mild discontinuities, and a connection to finite-scale theory

Dongming Wei, P. M. Jordan

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

Acoustic traveling waves in a class of power-law viscosity fluids are investigated. Both bi-directional and unidirectional versions of the one-dimensional (1D), weakly non-linear equation of motion are derived; traveling wave solutions (TWSs), special cases of which take the form of compact and algebraic kinks, are determined; and the impact of the bulk viscosity on the structure/nature of the kinks is examined. Most significantly, we point out a connection that exists between the power-law model considered here and the recently introduced theory of finite-scale equations.

Original languageEnglish
Pages (from-to)72-77
Number of pages6
JournalInternational Journal of Non-Linear Mechanics
Volume48
DOIs
Publication statusPublished - Jan 1 2013

Keywords

  • Finite-scale Navier-Stokes equations
  • Non-linear acoustics
  • Power-law fluids
  • Traveling wave solutions

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

Fingerprint Dive into the research topics of 'A note on acoustic propagation in power-law fluids: Compact kinks, mild discontinuities, and a connection to finite-scale theory'. Together they form a unique fingerprint.

  • Cite this