Influence of internal heat source on double-diffusive soret induced convection in a binary fluid

Abstract

The neutral convection in a double-diffusive fluid layer subject to the internal heat source (internal heating) and thermodiffusion or also known as Soret effect is studied analytically. The influence of the internal heating is supplied by an internal volumetric source with a uniform distribution. Results show that the presence of internal heating in the binary fluid layer which is fluid layer heated and salted has a significant influence on the neutral convection where increasing the internal heating will destabilize the fluid system. Despite the destabilizing factor, an increase of the Solutal Rayleigh number spikes the critical Rayleigh number and thus ensures greater stability of the system. The instability gets fluctuate depending on values of Soret parameter in the presence of internal heating.

Stability Control in a Binary Fluid Mixture Subjected to Cross Diffusive Coefficients

“…It is worth to take note that the influence of Df significantly alters the Ra values in all lower-upper boundary considered. These findings agree well with those reported by [15]. The graphs also reveal that the rigid-rigid boundary is still the most stable condition where the Rayleigh number recorded in both figures is the highest.…”

“…2 is a variation of Rayleigh number versus wavenumber (a) with a different effect of Solutal Rayleigh number. According to [15], the effective thermal conductivity is reduced through the influences of thermosolutal Rayleigh number, Rs on the system and thus stabilizes it. To describe this, we have chosen the values of solutal Rayleigh number, Rs = 500, 1000, 1500 and we observed a positive increment of Rayleigh number, Ra as we increase the values of solutal Rayleigh number in all type of boundaries considered.…”

“…In 2011, in [14] use the linear instability theory to study the onset of double-diffusive convection in a horizontal layer of nanofluids heated and salted from below. Double diffusive convection of fluid with Soret and Dufour effects are studied by [15]. The expressions for both stationary and oscillatory Rayleigh numbers which characterized the stability of the system are obtained.…”