On the Kuznetsov equation and higher order nonlinear acoustics equations

被引：0
|
作者：
Söderholm, LH [1 ]
机构：
[1] Royal Inst Technol, Dept Mech, SE-10044 Stockholm, Sweden
来源：
NONLINEAR ACOUSTICS AT THE TURN OF THE MILLENNIUM | 2000年 / 524卷
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D O I：
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中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
Compressible flow of a Newtonian fluid is studied in the fully nonlinear approximation and to lowest order in the dissipation, neglecting cross terms Ma . Kn (Ma is the Mach number, Kn the Knudsen number). An initially vorticity free flow is shown to remain vorticity free. An acoustic equation is derived. If Kn = Ma(n), the equation obtained is correct to order Ma(n). For n = 1, it reduces to the Kuznetsov equation.
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页码：133 / 136
页数：4
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