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

Abstract

The effect of feedback control on the onset of double-diffusive convection in a horizontal binary fluid layer is studied analytically subjected to cross diffusion coefficients which are the Soret and Dufour parameters. The confined boundaries of the binary fluid layer are considered to be free-free, rigid-free and rigid-rigid which described the lower and upper surfaces respectively. The linear stability theory is applied, and the eigenvalue solution is obtained numerically using Galerkin technique. Focusing on the stationary convection, it is shown that there is a positive thermal resistance in the presence of feedback control on the onset of doublediffusive convection in binary fluid mixture.

Onset of Benard-Marangoni instabilities in a double diffusive binary fluid layer with temperature-dependent viscosity

“…Meanwhile, for Dufour parameter, it shows that an increase of Dufour parameter, Df will increase the Ra c as illustrated in figure 3. Findings are similar with the previous results obtained in Abidin et al [1] and in Hurle and Jakeman [10] where the coupled effect Dufour and Soret were considered in their research.…”