Linear stability analysis is performed to study the effect of non-uniform basic temperature gradients on the onset of Bénard-Marangoni convection in a micropolar fluid. The influence of various parameters on the onset of convection has been analysed. The possibility of delaying the onset of convecti
Effects of control on the onset of Bénard–Marangoni convection in a micropolar fluid
✍ Scribed by M.N. Mahmud; Z. Mustafa; I. Hashim
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 558 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0735-1933
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✦ Synopsis
A linear stability analysis was conducted to assess the feasibility of using a feedback control strategy on the onset of Bénard-Marangoni convection in a micropolar fluid. The single-term Galerkin technique was used to obtain the closed-form solution for the Marangoni number M for the onset of convection, satisfying three different non-uniform basic state temperature profiles. It is demonstrated that the controller gain parameter can successfully increase the critical Marangoni number.
📜 SIMILAR VOLUMES
The qualitative effect of a non-uniform basic temperature gradient on the stationary and oscillatory stability analyses of the onset of Be ´nard-Marangoni convective in a horizontal fluid layer is investigated numerically using the fourth order Runger-Kutta-Gill's method coupled with the iterative B
Thermal effects of the heat transfer at free surface (represented by Biot number) on the Rayleigh-Marangoni-Bénard instability in a system of liquid-porous layers with top free surface are investigated numerically. The results indicate that this thermal effect can evidently lead to the mode transiti