DOI : https://doi.org/10.18517/ijaseit.7.1.1321

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

Nurul Hafizah Zainal Abidin (1), Nor Fadzillah Mohd Mokhtar (2), Izzati Khalidah Khalid (3), Rosleela Abdul Rahim (4), Siti Salwa Abd Gani (5)
(1) Institute for Mathematical Research, Universiti Putra Malaysia, 43400 Serdang, Selangor, Malaysia
(2) Institute for Mathematical Research, Universiti Putra Malaysia, 43400 Serdang, Selangor, Malaysia
(3) Institute for Mathematical Research, Universiti Putra Malaysia, 43400 Serdang, Selangor, Malaysia
(4) Institute for Mathematical Research, Universiti Putra Malaysia, 43400 Serdang, Selangor, Malaysia
(5) Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 Serdang, Selangor, Malaysia
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How to cite (IJASEIT) :
Zainal Abidin, Nurul Hafizah, et al. “Stability Control in a Binary Fluid Mixture Subjected to Cross Diffusive Coefficients”. International Journal on Advanced Science, Engineering and Information Technology, vol. 7, no. 1, Feb. 2017, pp. 322-8, doi:10.18517/ijaseit.7.1.1321.
Citation Format :
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 double-diffusive convection in binary fluid mixture.

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