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
On effect of non-uniform basic temperature gradient on Bénard–Marangoni convection in micropolar fluid
✍ Scribed by R. Idris; H. Othman; I. Hashim
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 517 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0735-1933
No coin nor oath required. For personal study only.
✦ Synopsis
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 convection by the application of a cubic basic state temperature profile is demonstrated.
📜 SIMILAR VOLUMES
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 conve
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
In this paper there is studied the effect of a horizontal pressure gradient on the onset of Darcy-Bénard convection in a fluid-saturated porous layer heated from below, when the fluid and solid phases are not in local equilibrium. In the context of a linearized stability analysis, the problem is tra
The simultaneous effect of local thermal nonequilibrium (LTNE), vertical heterogeneity of permeability, and non-uniform basic temperature gradient on the criterion for the onset of Darcy-Benard convection is studied. The eigenvalue problem is solved numerically using the Galerkin method. The interac