A note on poroacoustic traveling waves under Darcy's law: Exact solutions

P. M. Jordan; J. K. Fulford

Applications of Mathematics (2011)

  • Volume: 56, Issue: 1, page 99-115
  • ISSN: 0862-7940

Abstract

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A mathematical analysis of poroacoustic traveling wave phenomena is presented. Assuming that the fluid phase satisfies the perfect gas law and that the drag offered by the porous matrix is described by Darcy's law, exact traveling wave solutions (TWS)s, as well as asymptotic/approximate expressions, are derived and examined. In particular, stability issues are addressed, shock and acceleration waves are shown to arise, and special/limiting cases are noted. Lastly, connections to other fields are pointed out and possible extensions of this work are briefly discussed.

How to cite

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Jordan, P. M., and Fulford, J. K.. "A note on poroacoustic traveling waves under Darcy's law: Exact solutions." Applications of Mathematics 56.1 (2011): 99-115. <http://eudml.org/doc/116506>.

@article{Jordan2011,
abstract = {A mathematical analysis of poroacoustic traveling wave phenomena is presented. Assuming that the fluid phase satisfies the perfect gas law and that the drag offered by the porous matrix is described by Darcy's law, exact traveling wave solutions (TWS)s, as well as asymptotic/approximate expressions, are derived and examined. In particular, stability issues are addressed, shock and acceleration waves are shown to arise, and special/limiting cases are noted. Lastly, connections to other fields are pointed out and possible extensions of this work are briefly discussed.},
author = {Jordan, P. M., Fulford, J. K.},
journal = {Applications of Mathematics},
keywords = {poroacoustics; Darcy's law; traveling waves; shock and acceleration waves; poroacoustics; Darcy's law; traveling wave; shock and acceleration waves},
language = {eng},
number = {1},
pages = {99-115},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A note on poroacoustic traveling waves under Darcy's law: Exact solutions},
url = {http://eudml.org/doc/116506},
volume = {56},
year = {2011},
}

TY - JOUR
AU - Jordan, P. M.
AU - Fulford, J. K.
TI - A note on poroacoustic traveling waves under Darcy's law: Exact solutions
JO - Applications of Mathematics
PY - 2011
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 56
IS - 1
SP - 99
EP - 115
AB - A mathematical analysis of poroacoustic traveling wave phenomena is presented. Assuming that the fluid phase satisfies the perfect gas law and that the drag offered by the porous matrix is described by Darcy's law, exact traveling wave solutions (TWS)s, as well as asymptotic/approximate expressions, are derived and examined. In particular, stability issues are addressed, shock and acceleration waves are shown to arise, and special/limiting cases are noted. Lastly, connections to other fields are pointed out and possible extensions of this work are briefly discussed.
LA - eng
KW - poroacoustics; Darcy's law; traveling waves; shock and acceleration waves; poroacoustics; Darcy's law; traveling wave; shock and acceleration waves
UR - http://eudml.org/doc/116506
ER -

References

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