Thermosolutal convection problem of the Veronis’ type coupled with cross–diffusion is considered in the present paper. A semi -circle theorem that prescribes upper limit for the complex growth rate of oscillatory motions of neutral or growing amplitude in such a manner that it naturally culminates in sufficient conditions precluding the non- existence of such motions is derived. Further, results for thermosolutal convection problems with or without the individual consideration of Dufour and Soret effects follow as a consequence.
Sharma, Hari Mohan
Bound for the Complex Growth Rate in Thermosolutal Convection Coupled with Cross-diffusions,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 5,
2, Article 7.
Available at: https://digitalcommons.pvamu.edu/aam/vol5/iss2/7