An exact solution for finite‐amplitude plane sound waves in a dissipative fluid

1988 ◽  
Vol 84 (S1) ◽  
pp. S9-S9 ◽  
Author(s):  
Hideto Mitome
Keyword(s):  
Exact Solution ◽  
Finite Amplitude ◽  
Sound Waves ◽  
Plane Sound ◽  
Dissipative Fluid

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 Plane Sound Waves of Finite Amplitude

1931 ◽  
Vol 3 (1A) ◽  
pp. 9-9
Author(s):  
R. D. Fay
Keyword(s):  
Finite Amplitude ◽  
Sound Waves ◽  
Plane Sound

An exact solution to the equation of propagation of magneto-acoustic waves

1975 ◽  
Vol 343 (1634) ◽  
pp. 421-425
Keyword(s):  
Magnetic Field ◽  
Exact Solution ◽  
Acoustic Waves ◽  
Equations Of Motion ◽  
Nonlinear Partial Differential Equation ◽  
Finite Amplitude ◽  
Uniform Density ◽  
Sound Waves ◽  
Horizontal Magnetic Field ◽  
Specific Heats

By assuming a uniform horizontal magnetic field and using Lagrangian coordinates the equations of motion, continuity, and magnetic induction are combined to give the exact nonlinear partial differential equation of propagation of vertically travelling magneto-acoustic waves in an atmosphere of uniform density. By means of an intermediary integral, an exact solution is then derived for the cases of a polytropic gas with the ratio of the principal specific heats equal to 5/3 and 2. The solutions are compared with the classical solution of Riemann which describes pure, finite amplitude sound waves propagating in a uniform atmosphere. The degeneration of a magneto-acoustic wave into a shock is illustrated, and the effect of increasing the permanent magnetic field is found to decrease the time for the creation of the discontinuity.

PLANE SOUND WAVES OF FINITE AMPLITUDE

1931 ◽  
Vol 3 (2A) ◽  
pp. 222-241 ◽  
Author(s):  
R. D. Fay
Keyword(s):  
Finite Amplitude ◽  
Sound Waves ◽  
Plane Sound

Finite‐amplitude saturation of plane sound waves in air

1977 ◽  
Vol 62 (3) ◽  
pp. 518-523 ◽  
Author(s):  
Don A. Webster ◽  
David T. Blackstock
Keyword(s):  
Finite Amplitude ◽  
Sound Waves ◽  
Plane Sound
Sign in / Sign up

Export Citation Format

Share Document