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arXiv 0908.3878cond-mat.softphysics.flu-dyn
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表面粗糙度和剪切速率对简单流体滑移流的联合影响的模拟

Modeling the combined effect of surface roughness and shear rate on slip flow of simple fluids

Anoosheh Niavarani, Nikolai V. Priezjev

摘要:

采用分子动力学和连续介质模拟方法研究了剪切速率和表面粗糙度对牛顿流体滑移流动的影响。对于弱的壁面-流体相互作用能,通过分子动力学模拟计算了原子平面流动中内禀滑移长度与剪切率的非线性关系。我们描述的层流远离弯曲边界的有效滑移长度定义相对于表面粗糙度的平均高度。有效滑移长度的大小和其速率依赖性的斜率都显着降低在存在周期性表面粗糙度。然后,我们数值求解的纳维-斯托克斯方程的粗糙表面上的流动使用率相关的固有滑移长度作为局部边界条件。连续模拟再现了在低剪切速率下从MD模拟获得的有效滑移长度的行为。在高剪切速率下MD和连续体结果之间的轻微差异通过检查沿波状表面的局部速度分布和压力分布来解释。我们发现,在弯曲边界面对主流的区域,由于压力的增加,局部滑移被抑制。比较分析的结果可能会导致一个有效的算法建模率相关的粗糙表面上的滑移流的发展。

英文摘要:

Molecular dynamics (MD) and continuum simulations are carried out to investigate the influence of shear rate and surface roughness on slip flow of a Newtonian fluid. For weak wall-fluid interaction energy, the nonlinear shear-rate dependence of the intrinsic slip length in the flow over an atomically flat surface is computed by MD simulations. We describe laminar flow away from a curved boundary by means of the effective slip length defined with respect to the mean height of the surface roughness. Both the magnitude of the effective slip length and the slope of its rate-dependence are significantly reduced in the presence of periodic surface roughness. We then numerically solve the Navier-Stokes equation for the flow over the rough surface using the rate-dependent intrinsic slip length as a local boundary condition. Continuum simulations reproduce the behavior of the effective slip length obtained from MD simulations at low shear rates. The slight discrepancy between MD and continuum results at high shear rates is explained by examination of the local velocity profiles and the pressure distribution along the wavy surface. We found that in the region where the curved boundary faces the mainstream flow, the local slip is suppressed due to the increase in pressure. The results of the comparative analysis can potentially lead to the development of an efficient algorithm for modeling rate-dependent slip flows over rough surfaces.

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