Gravity-driven film flow down a uniformly heated smoothly corrugated rigid substrate
Gravity-driven film flow down a uniformly heated smoothly corrugated rigid substrate
复制标题
重力驱动的薄膜沿着均匀加热的光滑波纹刚性基材流下
DOI：
10.1017/jfm.2021.920
复制
发表时间：
2021
影响因子：
3.7
通讯作者：
Daly G
中科院分区：
文献类型：
--
作者：
Daly G
本文研究了重力作用下均匀加热的刚性光滑波纹基片上的液膜流动。这是通过减少运动和能量守恒的控制方程，以一个易于管理的形式内的数学框架内的著名的长波近似，导致一个渐近模型的降维。该方法的一个关键特征和解决感兴趣的问题，是证明了膜内温度场的主要近似必须是非线性的，以准确地解决热力学超越平凡的情况下，“一个平面的薄膜流下来的平面均匀加热倾斜。上级的预测得到了与早期的工作相比，并通过一系列相应的解决方案，以充分的控制方程，使用一个专门编写的有限元模拟，使自由表面的扰动和温度预测之间的比较，以及流线型和温度等值线内的膜。特别是，自由表面温度被捕获非常好，在适度的普朗特数。使用Floquet理论的问题的稳定性特征进行检查，与基板的地形和热毛细不稳定性模式之间的相互作用作为一组中性稳定性曲线的调查。虽然有没有相关的实验数据，目前可用于加热膜的问题，最近现有的预测和实验数据有关的行为，相应的等温流动的情况下，作为一个参考点，从中探索加热和冷却的效果。
Gravity induced film flow over a rigid smoothly corrugated substrate heated uniformly from below, is explored. This is achieved by reducing the governing equations of motion and energy conservation to a manageable form within the mathematical framework of the well-known long-wave approximation; leading to an asymptotic model of reduced dimensionality. A key feature of the approach and to solving the problem of interest, is proof that the leading approximation of the temperature field inside the film must be nonlinear to accurately resolve the thermodynamics beyond the trivial case of ‘a flat film flowing down a planar uniformly heated incline.’ Superior predictions are obtained compared with earlier work and reinforced via a series of corresponding solutions to the full governing equations using a purpose written finite element analogue, enabling comparisons to be made between free-surface disturbance and temperature predictions, as well as the streamline pattern and temperature contours inside the film. In particular, the free-surface temperature is captured extremely well at moderate Prandtl numbers. The stability characteristics of the problem are examined using Floquet theory, with the interaction between the substrate topography and thermo-capillary instability modes investigated as a set of neutral stability curves. Although there are no relevant experimental data currently available for the heated film problem, recent existing predictions and experimental data concerning the behaviour of corresponding isothermal flow cases are taken as a reference point from which to explore the effect of both heating and cooling.
登录
查看更多内容
粘性流动区域中的液膜
影响因子：
--
作者：
S. Friedman;C. Miller
通讯作者：
C. Miller
关于落膜不稳定性和波浪破碎
影响因子：
4.6
作者：
S. Joo;S. H. Davis;S. Bankoff
通讯作者：
S. Bankoff
受可变壁加热影响的下降液膜的鲁棒低维建模
影响因子：
3.7
作者：
A. Thompson;S. Gomes;Fabian Denner;M. Dallaston;S. Kalliadasis
通讯作者：
S. Kalliadasis
热导率和壁厚对沿斜坡流动的薄膜非线性不稳定性的影响
影响因子：
3.2
作者：
L. Dávalos
通讯作者：
L. Dávalos
DOI：
10.1098/rspa.2012.0409
发表时间：
2012-12
期刊：
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
影响因子：
--
作者：
M. Blyth;A. Bassom
通讯作者：
M. Blyth;A. Bassom