Absorption of Finite Amplitude Sound Waves in Liquids

1957 ◽  
Vol 29 (1) ◽  
pp. 181-181 ◽  
Author(s):  
V. Narasimhan ◽  
R. T. Beyer
Keyword(s):  
Finite Amplitude ◽  
Sound Waves

Nonlinear Parameter Imaging with Finite-Amplitude Sound Waves

1986 ◽  
Author(s):  
Y. Nakagawa ◽  
W. Hou ◽  
A. Cai ◽  
N. Arnold ◽  
G. Wade
Keyword(s):  
Finite Amplitude ◽  
Nonlinear Parameter ◽  
Sound Waves

scholarly journals On sound waves of finite amplitude

1953 ◽  
Vol 216 (1127) ◽  
pp. 539-547 ◽  
Keyword(s):  
Integral Equation ◽  
Analytical Solution ◽  
Arbitrary Function ◽  
Initial Conditions ◽  
Finite Amplitude ◽  
Sound Waves ◽  
One Dimensional ◽  
The One ◽  
Complex Integral ◽  
Gas Cloud

An analytical solution of Riemann’s equations for the one-dimensional propagation of sound waves of finite amplitude in a gas obeying the adiabatic law p = k ρ γ is obtained for any value of the parameter γ. The solution is in the form of a complex integral involving an arbitrary function which is found from the initial conditions by solving a generalization of Abel’s integral equation. The results are applied to the problem of the expansion of a gas cloud into a vacuum.

scholarly journals Finite‐amplitude saturation of plane sound waves in air

1976 ◽  
Vol 59 (S1) ◽  
pp. S31-S31 ◽  
Author(s):  
D. A. Webster ◽  
D. T. Blackstock
Keyword(s):  
Finite Amplitude ◽  
Sound Waves ◽  
Plane Sound

scholarly journals Finite‐Amplitude Losses in Spherical Sound Waves

1973 ◽  
Vol 53 (1) ◽  
pp. 383-383
Author(s):  
Harold M. Merklinger ◽  
Robert H. Mellen ◽  
Mark B. Moffett
Keyword(s):  
Finite Amplitude ◽  
Sound Waves

The reflexion of sound waves of finite amplitude by a rigid wall

1954 ◽  
Vol 222 (1149) ◽  
pp. 254-261 ◽  
Keyword(s):  
Shock Wave ◽  
Numerical Integration ◽  
Half Space ◽  
Continuous Solution ◽  
Rigid Wall ◽  
Finite Amplitude ◽  
Adiabatic Exponent ◽  
Sound Waves ◽  
Infinite Extent ◽  
Rigid Plane

A polytropic gas of adiabatic exponent 5/3 fills the half-space on one side of a rigid plane wall of infinite extent. Initially the gas is at rest and its density is proportional to x 3/2 , where x is the distance from the wall. The gas starts moving towards the wall. It is shown that, although the data are continuous, the problem has no continuous solution, that reflexion at the wall generates a shock wave. The problem is solved completely without recourse to numerical integration.

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