Nonlinear hydromagnetic waves in a thermally stratified cylindrical fluid: Exact helically symmetric solutions

• Published in: Physics of fluids. B, Plasma physics Vol. 5; no. 7; pp. 2086 - 2092
• Main Author: Hamabata, Hiromitsu
• Format: Journal Article
• Language: English
• Published: New York, NY American Institute of Physics 01.07.1993
• Subjects: 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ALFVEN WAVES; ANALYTICAL SOLUTION; CONFIGURATION; CONVECTION; CYLINDRICAL CONFIGURATION; ENERGY TRANSFER; Exact sciences and technology; Fluid dynamics; FLUID MECHANICS; Fundamental areas of phenomenology (including applications); HEAT TRANSFER; HELICAL CONFIGURATION; HYDRODYNAMICS; HYDROMAGNETIC WAVES; MAGNETOHYDRODYNAMICS; Magnetohydrodynamics and electrohydrodynamics; MASS TRANSFER; MECHANICS 700340 > Plasma Waves, Oscillations, & Instabilities > (1992-); Physics; Physics of gases, plasmas and electric discharges; Physics of plasmas and electric discharges; Plasma dynamics and flow; Plasma flow; magnetohydrodynamics; TEMPERATURE GRADIENTS; ALFVEN WAVES; HELICAL CONFIGURATION; CONVECTION; HYDROMAGNETIC WAVES; MAGNETOHYDRODYNAMICS; TEMPERATURE GRADIENTS; CYLINDRICAL CONFIGURATION; ANALYTICAL SOLUTION; Plasma; Fluids; Boussinesq equations; Wave propagation; Cylindrical configuration; Hydromagnetic waves; Thermal gradients; Theoretical study; Nonlinear problems; Self-gravitating systems; Convection
• ISSN: 0899-8221; 2163-503X
• DOI: 10.1063/1.860796

The propagation of nonlinear hydromagnetic waves in a highly conducting, self‐gravitating fluid in a cylindrical geometry, subject to the convective forces produced by a radial temperature gradient, is treated in a Boussinesq approximation. Exact wave solutions of the nonlinear magnetohydrodynamic equations (in the Boussinesq approximation) in the presence of convective forces are obtained for the case when the physical quantities are helically symmetric in cylindrical coordinates. The solutions represent waves propagating helically on the cylindrical surfaces, under the influence of the helical magnetic and velocity fields and the convective forces. The solutions may be applicable to the hydromagnetic waves in the Earth’s fluid core and the solar convection zone with suitable modifications to account for spherical geometry.