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 |
|---|---|
| Pages (from-to) | 72-77 |
| Number of pages | 6 |
| Journal | International Journal of Non-Linear Mechanics |
| Volume | 48 |
| DOIs | |
| Publication status | Published - Jan 2013 |
| Externally published | Yes |
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Keywords
- Finite-scale Navier-Stokes equations
- Non-linear acoustics
- Power-law fluids
- Traveling wave solutions
ASJC Scopus subject areas
- Mechanical Engineering
- Mechanics of Materials
- Applied Mathematics
Cite this
A note on acoustic propagation in power-law fluids : Compact kinks, mild discontinuities, and a connection to finite-scale theory. / Wei, Dongming; Jordan, P. M.
In: International Journal of Non-Linear Mechanics, Vol. 48, 01.2013, p. 72-77.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - A note on acoustic propagation in power-law fluids
T2 - Compact kinks, mild discontinuities, and a connection to finite-scale theory
AU - Wei, Dongming
AU - Jordan, P. M.
PY - 2013/1
Y1 - 2013/1
N2 - 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.
AB - 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.
KW - Finite-scale Navier-Stokes equations
KW - Non-linear acoustics
KW - Power-law fluids
KW - Traveling wave solutions
UR - http://www.scopus.com/inward/record.url?scp=84865842703&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84865842703&partnerID=8YFLogxK
U2 - 10.1016/j.ijnonlinmec.2012.07.006
DO - 10.1016/j.ijnonlinmec.2012.07.006
M3 - Article
VL - 48
SP - 72
EP - 77
JO - International Journal of Non-Linear Mechanics
JF - International Journal of Non-Linear Mechanics
SN - 0020-7462
ER -