Sun Jie, Wang Wen, Wang Hua Sheng
School of Engineering and Materials Science, Queen Mary University of London, London E1 4NS, United Kingdom.
Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Feb;87(2):023020. doi: 10.1103/PhysRevE.87.023020. Epub 2013 Feb 26.
Nanoconfined liquid behavior is highly dependent on boundary and bulk factors. In this paper, we use a hybrid simulation method to investigate the variations of the velocity profile, temperature profile, slip length, and Kapitza length in nano-Poiseuille flows. They are determined by liquid behavior under the combined effect of boundary factors of solid-liquid bonding strength and surface roughness and bulk factors of the pressure gradient, maximum liquid velocity, flow rate, and dissipation heat. On the one hand, diverse variations of the profiles depend on the bulk factors. On the other hand, the boundary conditions of velocity slip and temperature jump, both strongly correlated to boundary factors, can significantly modify the velocity and temperature profiles. Based on this understanding, we find an explicitly local minimum value of the average temperature difference between liquid and solid when varying boundary and bulk factors lead to opposite influences. Moreover, we find that the Kapitza length varies as a power function of slip length and the index number depends on surface roughness but not on flow constraint. The results imply that by appropriately modifying the boundary and bulk factors, the confined liquid behavior is largely controllable.
纳米受限液体行为高度依赖于边界因素和本体因素。在本文中,我们使用一种混合模拟方法来研究纳米泊肃叶流中速度剖面、温度剖面、滑移长度和卡皮查长度的变化。它们由固液结合强度和表面粗糙度等边界因素以及压力梯度、最大液体速度、流速和散热等本体因素共同作用下的液体行为所决定。一方面,剖面的各种变化取决于本体因素。另一方面,与边界因素密切相关的速度滑移和温度跳跃边界条件会显著改变速度和温度剖面。基于这一认识,我们发现当边界因素和本体因素的变化产生相反影响时,液固之间平均温差存在一个明确的局部最小值。此外,我们发现卡皮查长度随滑移长度呈幂函数变化,且指数取决于表面粗糙度而非流动约束。结果表明,通过适当改变边界因素和本体因素,受限液体行为在很大程度上是可控的。