The problem of the spreading of a liquid film along a solid surface: A new mathematical formulation

G. I. Barenblatt; E. Beretta; M. Bertsch

首页> 外文期刊>Proceedings of the National Academy of Sciences of the United States of America >The problem of the spreading of a liquid film along a solid surface: A new mathematical formulation

【24h】

The problem of the spreading of a liquid film along a solid surface: A new mathematical formulation

机译：液膜沿固体表面扩散的问题：一种新的数学公式

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

A new mathematical model is proposed for the spreading of a liquid film on a solid surface. The model is based on the standard lubrication approximation for gently sloping films (with the no-slip condition for the fluid at the solid surface) in the major part of the film where it is not too thin. In the remaining and relatively small regions near the contact lines it is assumed that the so-called autonomy principle holds - i.e., given the material components, the external conditions, and the velocity of the contact lines along the surface, the behavior of the fluid is identical for all films. The resulting mathematical model is formulated as a free boundary problem for the classical fourth-order equation for the film thickness. A class of self-similar solutions to this free boundary problem is considered.

机译：提出了一种新的数学模型，用于在固体表面上铺展液膜。该模型基于标准润滑近似值，用于在膜的主要部分（不是太薄）中轻轻倾斜膜（对于固体表面的流体具有无滑移条件）。在接触线附近的剩余区域和相对较小的区域中，假定所谓的自主原理成立-即，给定材料成分，外部条件以及接触线沿表面的速度，流体的行为所有电影都是相同的。所得的数学模型被公式化为膜厚度的经典四阶方程的自由边界问题。考虑了针对该自由边界问题的一类自相似解。

著录项

来源
《Proceedings of the National Academy of Sciences of the United States of America》 |1997年第19期|p.10024-10030|共7页
作者
G. I. Barenblatt; E. Beretta; M. Bertsch;
展开▼
作者单位

展开▼
收录信息美国《科学引文索引》(SCI);美国《生物学医学文摘》(MEDLINE);美国《化学文摘》(CA);
原文格式 PDF
正文语种 eng
中图分类自然科学总论;
关键词

相似文献

外文文献
中文文献
专利

1. Effect of nano-trenches on the ultrathin liquid polymer film spreading and free surface undulations on solid surfaces [J] . M S Mayeed, A M Al-Mekhnaqi, G M Newaz, Proceedings of the Institution of Mechanical Engineers, Part N: Journal of Nanoengineering and Nanosystems . 2006,第3aaa4期

机译：纳米沟槽对超薄液体聚合物薄膜铺展和固体表面自由表面起伏的影响
2. Effect of nano-trenches on the ultrathin liquid polymer film spreading and free surface undulations on solid surfaces [J] . M S Mayeed, A M Al-Mekhnaqi, G M Newaz, Proceedings of the institution of mechanical engineers. Part N, Journal of nanoengineering and nanosystems . 2006,第3a4期

机译：纳米沟槽对超薄液体聚合物薄膜铺展和固体表面自由表面起伏的影响
3. Surface Spreading and Penetration of Liquid and Solid Ga in Thin Polycrystalline Ag Films [J] . E. Glickman, M. Levenshtein, L. Budic, Diffusion and Defect Data. Solid State Data, Part A. Defect and Diffusion Forum . 2006,第0期

机译：液态和固态镓在多晶银薄膜中的表面扩散和渗透
4. Surface Spreading and Penetration of Liquid and Solid Ga in Thin Polycrystalline Ag Films [C] . E. Glickman, M. Levenshtein, L. Budic, International Conference on Diffusion in Solids: Past, Present and Future . 2006

机译：薄多晶硅膜中液体和固体Ga的表面扩散和渗透
5. Applied Experimental Surface Chemistry at Solid-Liquid and Solid-Gas Interface: A UHV Study of Carbon Dioxide Sorption on Single and Composite Alkali and Alkaline Earth Metal (potassium modified magnesia) Films and Using Zeta Potential to Probe Surface Reaction Kinetics and Equilibrium on Mineral Surfaces in Liquid Media: Measurements, Modeling and Parameter Estimation. [D] . Faruqui, Danish. 2010

机译：在固-液和固-气界面的应用实验表面化学：在单层和复合碱和碱土金属（钾改性氧化镁）膜上二氧化碳吸附的超高压研究，并利用Zeta电位探测矿物表面的表面反应动力学和平衡在液体介质中：测量，建模和参数估计。
6. Inaugural Article: The problem of the spreading of a liquid film along a solid surface: A new mathematical formulation [O] . G. I. Barenblatt, E. Beretta, M. Bertsch 1997

机译：就职文章：液膜沿固体表面铺展的问题：一种新的数学公式
7. The problem of the spreading of a liquid film along a solid\ud surface: a new mathematical formulation [O] . Barenblatt, GL, Bertsch, M, Beretta, E 1997

机译：液膜沿固体\ ud扩散的问题表面：一种新的数学公式
8. Cdc 3800 Computer Program to Calculate and Plot the Compressibility, and Prependicular Component of the Molecular Dipole Moment of Films Spread on Liquid Surfaces [R] . Halper, L. A. 1969

机译：Cdc 3800计算机程序计算并绘制液体表面上分子偶极矩的可压缩性和垂直分量

The problem of the spreading of a liquid film along a solid surface: A new mathematical formulation

摘要

著录项

相似文献

相关主题

期刊订阅