A new two-sided model of vapour-liquid layer system with a deformable interface is proposed. In this model, the vapour recoil effect on the Marangoni-Bénard instability of a thin evaporating liquid layer can be e...A new two-sided model of vapour-liquid layer system with a deformable interface is proposed. In this model, the vapour recoil effect on the Marangoni-Bénard instability of a thin evaporating liquid layer can be examined only when the interface deflexion is considered. The instability of a liquid layer undergoing steady evaporation induced by the coupling of vapour recoil effect and the Marangoni effect is analysed using a linear stability theory. We modify and develop the Chebyshev-Tau method to solve the instability problem of a deformable interface system by introducing a new equation at interface boundary. New instability behaviour of the system has been found and the self-amplification mechanism between the evaporation flux and the interface deflexion is discussed.展开更多
We discuss the solution of the small perturbation equations for a horizontal fluid layer heated from below with an applied magnetic field either in vertical or in horizontal direction. The field inhibits, due to the L...We discuss the solution of the small perturbation equations for a horizontal fluid layer heated from below with an applied magnetic field either in vertical or in horizontal direction. The field inhibits, due to the Lorentz force, more or less the onset of convective cellular motion. The solution of the eigenvalue problem shows that the critical Rayleigh number increases with increasing Hartmann number while the corresponding wave length decreases. Interesting analogies to solar granulation and black spot phenomena are obvious. The general influence of a horizontal magnetic field is larger than that of a vertical field. It is easy to understand this by discussing the influence of the Lorentz force on the Rayleigh -Benard convection. This result corrects earlier calculations in the literature.展开更多
基金Supported by the National Natural Science Foundation of China under Grant Nos 10372105 and 10432060, and the Knowledge Innovation Project of Chinese Academy of Sciences （KGCX-SW-409）.
文摘A new two-sided model of vapour-liquid layer system with a deformable interface is proposed. In this model, the vapour recoil effect on the Marangoni-Bénard instability of a thin evaporating liquid layer can be examined only when the interface deflexion is considered. The instability of a liquid layer undergoing steady evaporation induced by the coupling of vapour recoil effect and the Marangoni effect is analysed using a linear stability theory. We modify and develop the Chebyshev-Tau method to solve the instability problem of a deformable interface system by introducing a new equation at interface boundary. New instability behaviour of the system has been found and the self-amplification mechanism between the evaporation flux and the interface deflexion is discussed.
文摘We discuss the solution of the small perturbation equations for a horizontal fluid layer heated from below with an applied magnetic field either in vertical or in horizontal direction. The field inhibits, due to the Lorentz force, more or less the onset of convective cellular motion. The solution of the eigenvalue problem shows that the critical Rayleigh number increases with increasing Hartmann number while the corresponding wave length decreases. Interesting analogies to solar granulation and black spot phenomena are obvious. The general influence of a horizontal magnetic field is larger than that of a vertical field. It is easy to understand this by discussing the influence of the Lorentz force on the Rayleigh -Benard convection. This result corrects earlier calculations in the literature.
