The wave motions caused by oscillations of a flat wall
About authors
- 1 — Ph.D., Dr.Sci. professor Saint Peterburg State Mining Institute (Technical University)
- 2 — Ph.D. associate professor Saint Petersburg State University
Abstract
The research is devoted construction analytical, in particular, exact solution of a problem on movement of the electrically conducting ideal rotating liquid modeling wave movements in a liquid kernel of the Earth. Namely, the problem about radiation of waves in rotating incompressible electrically conducting liquid by the flat wall making, since the initial moment, harmonious fluctuations is considered. Such statement of a problem can serve as the first step to research of influence of heterogeneity of the liquid environment on generation and maintenance of a magnetic field of the Earth.
Keywords:
the electrically conducting ideal rotating liquid
wave motions
the magnetic field of the Earth
References
- Алешков Ю.З. Математическое моделирование физических процессов. СПб, 2001. 264 с.
- Гунько Ю.Ф. Электромагнитная газодинамика плазмы / Ю.Ф.Гунько, А.В.Норин, Б.В.Филиппов. СПб, 2003. 176 с.
- Ландау Л.Д. Электродинамика сплошных сред / Л.Д.Ландау, Е.М.Лифшиц // Теоретическая физика. М., 1992. Т.8. 664 с.
- Холодова С.Е. Динамика вращающегося слоя идеальной электропроводной несжимаемой жидкости // Журнал вычислительной математики и математической физики. 2008. Т.48. № 5. С.151-167.
- Bullard E.C. The magnetic field withing the Earth // Proc. Roy. Soc. London Ser. A. 1949. Vol.197. P.433-453.
- Busse F.H. A model of the geodynamo // Geophys. J. Roy. Asron. Soc. 1975. Vol.42. P.437-459.
- Busse F.H. Generation of planetary by convection // Phys. Earth Planet. Inter. 1976. Vol.12. P.350-358.
- Elzasser W.M. Induction effects in terrestrial magnetism. Part I: Theory // Phys. Rev. 1946. Vol.69. P.106.
- Elzasser W.M. Induction effects in terrestrial magnetism, Part II: The secular variation // Phys. Rev. 1946. Vol.70. P.202.
- Zhang K.-K., Busse F.H. Finite amplitude convection and magnetic field generation in a rotating spherical shell // Geophys. Astrophys. Fluid Dyn. 1988. Vol.44. P.33-54.
- Zhang K.-K., Busse F.H. Convection driven magnetohydrodynamic dynamos in rotating spherical shell // Geophys. Astrophys. Fluid Dyn. 1989. Vol.49. P.97-116.
- Zhang K.-K., Busse F.H. Generation of magnetic fields by convection in a rotating spherical fluid shell of infinite Prandtl number // Phys. Earth Planet. Inter. 1990. Vol.59. P.208-222.