On the temperature modulation of the thermal convection instability in hydromagnetics

Details On the temperature modulation of the thermal convection instability in hydromagnetics On the temperature modulation of the thermal convection instability in hydromagnetics

Feb 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976a%26a....46..361s&link_type=abstract

Astronomy and Astrophysics, vol. 46, no. 3, Feb. 1976, p. 361-368.

Astronomy and Astrophysics

Astrophysics

Free Convection, Magnetohydrodynamic Stability, Rayleigh Number, Thermal Instability, Boundary Layers, Fluid Boundaries, Gravitational Fields, Temperature Distribution

Scientific paper

This paper investigates the thermal convective instability which occurs in a plane fluid layer heated from below in the presence of a uniform magnetic field that is parallel to the gravitational field in the case when the temperature of the upper boundary layer is fixed and that of the lower one is varied sinusoidally. A series expansion in powers of amplitude is used to calculate the shift in the critical Rayleigh number for the onset of instability. It is shown that the critical Rayleigh number is increased by the oscillating temperature, the maximum shift in this number occurs as the frequency of the oscillating temperature approaches zero, and the shift remains finite for large values of the magnetic-field parameter. The shift is evaluated numerically on a percentage basis for different values of the magnetic-field parameter, Prandtl number, and resistivity parameter. It is found that the shift increases with increasing Prandtl number as well as with increasing value of the resistivity parameter.

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