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

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Abstract

The Triple Di usive 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. E ects 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 e ects 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 di usive convection, Temperature modulation, Sinusoidal and non- sinusoidal wave form, Correction Rayleigh number.