A NOTE ON POROACOUSTIC TRAVELING WAVES UNDER DARCY'S LAW: EXACT SOLUTIONS

被引：6

作者：

Jordan, P. M. ^{[1
]}

Fulford, J. K. ^{[1
]}

机构：

[1] USN, Res Lab, Acoust Div, Stennis Space Ctr, MS 39529 USA

来源：

APPLICATIONS OF MATHEMATICS | 2011年 / 56卷 / 01期

关键词：

poroacoustics; Darcy's law; traveling waves; shock and acceleration waves; FLOW;

D O I：

10.1007/s10492-011-0011-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：99 / 115

页数：17

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