Computer Science – Sound
Scientific paper
May 1975
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975rspsa.343..421s&link_type=abstract
Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Volume 343, Issue 1634, pp. 421-425
Computer Science
Sound
Scientific paper
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.
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