Three-Dimensional Simulation of Instabilities and Rivulet Formation in Heated Falling Films
Three-Dimensional Simulation of Instabilities and Rivulet Formation in Heated Falling Films
复制标题
DOI：
10.1006/jcph.1996.5512
复制
发表时间：
1997-02
影响因子：
4.1
通讯作者：
B. Ramaswamy;S. Krishnamoorthy;S. Joo
中科院分区：
文献类型：
--
作者：
B. Ramaswamy;S. Krishnamoorthy;S. Joo
在任意拉格朗日欧拉参考系中，通过积分质量、动量和能量的三维守恒方程，研究了斜板上的热薄膜。通过求解运动学方程，精确地更新界面位置。时间离散化采用投影格式，空间离散化采用有限元方法。对受热毛细和表面波不稳定性影响的地层进行了与细流形成相关的非线性动力学分析。并与长波理论进行了比较，验证了数值格式的正确性。
A thin heated film draining on an inclined plate has been studied by integrating the three-dimensional conservation equations for mass, momentum, and energy in an arbitrary Lagrangian Eulerian frame of reference. The kinematic equation is solved to precisely update the interface location. The temporal discretization is done using a projection scheme and the spatial discretization is done using a finite element method. Detailed analysis of nonlinear dynamics associated with the rivulet formation is performed for layers subjected to both thermocapillary and surface-wave instabilities. Comparisons with long-wave theory are made to validate the numerical scheme.