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- Publisher
- Springer Journals
- Copyright
- 2000 Chinese Society of Theoretical and Applied Mechanics
- ISSN
- 0567-7718
- eISSN
- 1614-3116
- DOI
- 10.1007/BF02486702
- Publisher site
- See Article on Publisher Site
Abstract
Abstract Nonlinear stability of the motionless state of a heterogeneous fluid with constant temperature-gradient and concentration-gradient is studied for both cases of stress-free and rigid boundary conditions. By introducing new energy functionals we have shown that for τ=P C /P T ≤1,\(\hat \alpha = C/R \geqslant 1\) the motionless state is always stable and for τ≤1,\(\hat \alpha< 1\) the sufficient and necessary conditions for stability coincide, whereP C ,P T ,C andR are the Schmidt number, Prandtl number, Rayleigh number for solute and heat respectively. Moreover, the criteria guarantees the exponential stability.
Journal
"Acta Mechanica Sinica" – Springer Journals
Published: May 1, 2000