A linear stability analysis of thermal convection in spherical shells with variable radial gravity based on the Tau-Chebyshev method

2013 ◽  
Vol 44 ◽  
pp. 495-508 ◽  
Author(s):  
Ruben Avila ◽  
Ares Cabello-González ◽  
Eduardo Ramos
Keyword(s):  
Stability Analysis ◽  
Linear Stability ◽  
Linear Stability Analysis ◽  
Thermal Convection ◽  
Spherical Shells ◽  
Chebyshev Method

scholarly journals Linear Stability Analysis of Thermal Convection in an Infinitely Long Vertical Rectangular Enclosure in the Presence of a Uniform Horizontal Magnetic Field

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Takashi Kitaura ◽  
Toshio Tagawa
Keyword(s):  
Magnetic Field ◽  
Stability Analysis ◽  
Linear Stability ◽  
Linear Stability Analysis ◽  
Thermal Convection ◽  
Vertical Channel ◽  
Numerical Code ◽  
Convection Flow ◽  
Horizontal Magnetic Field ◽  
Direction Parallel

Stability of thermal convection in an infinitely long vertical channel in the presence of a uniform horizontal magnetic field applied in the direction parallel to the hot and cold walls was numerically studied. First, in order to confirm accuracy of the present numerical code, the one-dimensional computations without the effect of magnetic field were computed and they agreed with a previous study quantitatively for various values of the Prandtl number. Then, linear stability analysis for the thermal convection flow in a square horizontal cross section under the magnetic field was carried out for the case of Pr = 0.025. The thermal convection flow was once destabilized at certain low Hartmann numbers, and it was stabilized at high Hartmann numbers.

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