Physics
Scientific paper
Nov 1975
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975qjmam..28..397a&link_type=abstract
Quarterly Journal of Mechanics and Applied Mathematics, vol. 28, Nov. 1975, p. 397-403.
Physics
Boussinesq Approximation, Conducting Fluids, Gravitational Effects, Magnetohydrodynamic Flow, Solar Physics, Steady Flow, Asymptotic Methods, Flow Distribution, Fourier Transformation, Lighthill Method, Linear Equations, Magnetic Field Configurations
Scientific paper
The behavior of steady solutions valid within the flow regime is considered for the steady flow of a conducting Boussinesq fluid aligned in the direction of a vertical magnetic field in the presence of gravitational acceleration antiparallel to the field. The basis of the Boussinesq approximation is to regard the fluid as uniform and incompressible, except for the introduction of a buoyancy force in the vertical direction, equal to the gravitational acceleration multiplied by the local fluctuations of the density from its mean value. The main result is that for the existence of a steady flow, disturbances originating from a source in the steady flow behave as the inverse of r for large r, when gravitational forces are dominant, and as the inverse square root of r for large r when compressibility forces are dominant. Thus gravity acts as a damping mechanism for disturbances originating in steady flow regimes.
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