EFFECTS OF SINUSOIDAL AND NON-SINUSOIDAL TEMPERATURE MODULATION IN A TRIPLE DIFFUSIVE CONVECTION

EFFECTS OF SINUSOIDAL AND NON-SINUSOIDAL TEMPERATURE MODULATION IN A TRIPLE DIFFUSIVE CONVECTION

S. Pranesh, S. Tarannum, J. Meghana

[PDF]

Abstract

The Triple Diusive convection with time-dependent sinusoidal (cosine) and non-sinusoidal (square and triangular) temperature modulation is studied using linear and non-linear analysis. The expression for Rayleigh number and correction Rayleigh number is obtained by using perturbation method which gives the prospect to control the convection. Eects of various parameters of the problem are individually studied for two cases of temperature modulation namely, (i) in-phase and (ii)out-of-phase. Ginzburg- Landau equation using multi-scale method is derived to study the eects of temperature modulation on heat and mass transfer. It is observed that both solutal Rayleigh num- bers stabilizes or destabilizes the system depending on the values of the frequency of modulation.

Keywords

Triple diusive convection, Temperature modulation, Sinusoidal and non- sinusoidal wave form, Correction Rayleigh number.