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 language | English |
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Pages (from-to) | 72-77 |
Number of pages | 6 |
Journal | International Journal of Non-Linear Mechanics |
Volume | 48 |
DOIs | |
Publication status | Published - 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