The stability of free convection in a particle-fluid mixture with a free surface
- Ecole Normale Superieure BP, Marrakech (Morocco)
- L.M.F.E. Faculte des Sciences, Marrakech (Morocco)
- INSA de Rouen (France)
The onset of thermal instability for simultaneous surface tension and buoyancy driven mechanisms in a horizontal fluid layer with suspended particles is theoretically investigated by means of a small disturbance analysis. The critical Marangoni, Rayleigh and wave numbers are computed and compared with those known for a pure fluid. The effect of the particles enters through three parameters: {gamma}, {phi} and {Lambda}. The first describes how much particles are present, the second is determined by the particle-fluid thermal energy change ratio (named the heat loading ratio) and the third characterizes the size of the individual particles (the particle aspect ratio). It is found that when {gamma} or {phi} increases the system is destabilized while the raise of {Lambda} destabilizes or stabilizes the layer depending on whether the Rayleigh number is positive or negative.
- OSTI ID:
- 242206
- Journal Information:
- International Communications in Heat and Mass Transfer, Vol. 23, Issue 3; Other Information: PBD: May-Jun 1996
- Country of Publication:
- United States
- Language:
- English
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