Effect of Longitudinal Forced Motion on the Stability of Convection in a Plane Vertical Layer with Internal Heat Sources

2005 ◽  
Vol 40 (2) ◽  
pp. 179-182 ◽  
Author(s):  
N. I. Lobov
Keyword(s):  
Internal Heat ◽  
Heat Sources ◽  
Vertical Layer ◽  
Forced Motion ◽  
Internal Heat Sources ◽  
The Stability ◽  
Plane Vertical Layer

On the stability of steady convective motion generated by internal heat sources in a magnetic field

1988 ◽  
Vol 66 (11) ◽  
pp. 990-993 ◽  
Author(s):  
A. A. Kolyshkin
Keyword(s):  
Magnetic Field ◽  
Internal Heat ◽  
Convective Motion ◽  
Transverse Magnetic ◽  
Heat Sources ◽  
Small Perturbations ◽  
Internal Heat Sources ◽  
Prandtl Numbers ◽  
The Stability

The stability of steady convective motion of a viscous incompressible fluid in a transverse magnetic field is investigated using the method of small perturbations. The motion is caused by internal heat sources uniformly distributed within the vertical layer of the fluid. The stability analysis shows that the critical Grasshof number increases with the growth of the magnetic field. The role of the Prandtl and Hartmann numbers on the stability characteristics are discussed. For high Prandtl numbers, instability occurs in the form of thermal running waves.

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