Multi-component convection-diffusion with internal heating or cooling. (English) Zbl 0922.76170
Summary: The onset of convection in a fluid layer with an internal heat source is studied. In addition to the temperature field, there are present two different, dissolved salt fields. Thus, this paper investigated the effect of an internal heat source on the problem of triply-diffusive convection. The effect of the boundary conditions is found to be important. For two surfaces free of tangential stress, a disconnected oscillatory neutral curve can be found which has the same minimum as the stationary convection one. Thus the possibility of simultaneous initiation of convection by two different mechanisms, but with two different aspect ratios, is found. It is also found that the above effect is present when the lower surface is fixed while the upper surface is free of tangential stress, even if the container of the fluid is of finite horizontal extent. When both surfaces are fixed, we have not observed the twin minima effect.
MSC:
| 76E15 | Absolute and convective instability and stability in hydrodynamic stability |
| 76R50 | Diffusion |
| 80A20 | Heat and mass transfer, heat flow (MSC2010) |
Keywords:
dissolved salt fields; triply-diffusive convection; effect of boundary conditions; disconnected oscillatory neutral curveReferences:
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