Growth factors for Marangoni instability in a spherical liquid layer under zero-gravity conditions

The neutral-stability analysis presented by Hoefsloot et al. [3] is completed by computing the growth factors for the normal modes and by showing that the neutral states (Re()=0) are stationary (Im()=0) rather than oscillatory (Im()0).     

Marangoni instability in a liquid layer bounded by two coaxial cylinder surfaces

A liquid layer, confined between two coaxial cylinder surfaces, has either a gasliquid interface on the inside and is heated from the outer (solid) boundary, or it has a gas-liquid interface on the outside and is heated from the inner (solid) boundary. Neglecting gravity and using a standard normal-mode approach, we analyse surface-tension driven instability (Marangoni instability) of the motionless steady state in which the temperature depends on the radial coordinate only. Numerical results for the critical Marangoni number and corresponding wave-number pair are presented for various values of the curvature of the interface. This curvature turns out to exert a significant influence on the onset of Marangoni convection flows. Further, the stability behaviour of the system is found to be quite variable, depending on whether the interface is on the inside or on the outside of the layer and whether it is well-conducting or nearly-isolated.     

隐函数曲面的实时采样与三角化技术

采用逐步蔓延采样点和三角形的方法，给出了3个算法用于隐函数曲面的采样和三角化，这些算法使得隐函数曲面的重复绘制和控制都能实时进行，其采样方法具有局部适应性，能随着曲率的变化自动控制采样点的疏密程度，从而使得采样点尽量少，但又不至于遗漏表面细节，提出的三角化方法能用于其它散乱数据点的表面重构，它的算法复杂度仅为O(n)。