Figure - available from: Journal of Fluids
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Contour maps of the basic flow at Ha = 10.0 : (a) vertical velocity W bs , (b) stream line of electric current Ψ J , and (c) electric potential Φ bs .
Source publication
![Reference [4]](publication/264859120/figure/fig1/AS:1088901905154049@1636625853349/Reference-4_Q320.jpg)
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 we...
Citations
... As a stability analysis of three-dimensional natural convection, Lyubimov et al. [31] dealt with shear flow instability in a horizontally long rectangular enclosure. Kitaura and Tagawa [32] have conducted a linear stability analysis for the case of Tagawa et al. [29] as the basic state, but the direction of the magnetic field was limited to the Y-direction only. The influence of the uniform magnetic field applied in X-direction and that in the intermediate direction between these two typical cases was not discussed. ...
The effect of the direction of external horizontal magnetic fields on the linear stability of natural convection of liquid metal in an infinitely long vertical rectangular enclosure is numerically studied. A vertical side wall is heated and the opposing vertical wall is cooled both isothermally, whereas the other two vertical walls are adiabatic. A uniform horizontal magnetic field is applied either in the direction parallel or perpendicular to the temperature gradient. In this study, the height of the enclosure is so long as to neglect the top and bottom effects where returning flow takes place, and thus the basic flow is assumed to be a parallel flow and the temperature field is in heat conduction state. The Prandtl number is limited to the value of 0.025 and horizontal cross-section is square. The natural convection is monotonously stabilized as increase in the Hartmann number when the applied magnetic field is parallel to the temperature gradient. However, when the applied magnetic field is perpendicular to the temperature gradient, it is once destabilized at a certain low Hartmann number, but it is stabilized at high Hartmann numbers.
... As a stability analysis of three-dimensional natural convection, Lyubimov et al. [31] dealt with shear flow instability in a horizontally long rectangular enclosure. Kitaura and Tagawa [32] have conducted a linear stability analysis for the case of Tagawa et al. [29] as the basic state, but the direction of the magnetic field was limited to the Y-direction only. The influence of the uniform magnetic field applied in X-direction and that in the intermediate direction between these two typical cases was not discussed. ...
The effect of the direction of external horizontal magnetic fields on the linear stability of natural convection of liquid metal in an infinitely long vertical rectangular enclosure is numerically studied. A vertical side wall is heated and the opposing vertical wall is cooled both isothermally, whereas the other two vertical walls are adiabatic. A uniform horizontal magnetic field is applied either in the direction parallel or perpendicular to the temperature gradient. In this study, the height of the enclosure is so long as to neglect the top and bottom effects where returning flow takes place, and thus the basic flow is assumed to be a parallel flow and the temperature field is in heat conduction state. The Prandtl number is limited to the value of 0.025 and horizontal cross-section is square. The natural convection is monotonously stabilized as increase in the Hartmann number when the applied magnetic field is parallel to the temperature gradient. However, when the applied magnetic field is perpendicular to the temperature gradient, it is once destabilized at a certain low Hartmann number, but it is stabilized at high Hartmann numbers.
