Analysis of nonlinear transport in Couette flow.
Analysis of nonlinear transport in Couette flow.
复制标题
库埃特流中的非线性传输分析。
DOI：
10.1103/physreva.40.7165
复制
发表时间：
1989
期刊：
影响因子：
--
通讯作者：
Brey
中科院分区：
文献类型：
--
作者：
Kim;Dufty;Santos;Brey
非线性Bhatnagar，格罗斯和Krook [物理评论94，511（1954）]动力学方程求解边界条件导致平面Couette流动和热传输。在Knudsen数为零但均匀性参数（剪切速率）为任意的极限下，得到了精确的"正规“解.速度分布函数明确说明远离平衡状态。在有限Knudsen数下，分布函数由一组非线性奇异积分方程的数值解得到。结果显示了克努森数和均匀性参数的一系列值。正常状态的方法进行了研究，确定的流体动力学的配置文件，速度滑移，剪切粘度，和一个非线性伯内特传输系数。
The nonlinear Bhatnagar, Gross, and Krook [Phys. Rev. 94, 511 (1954)] kinetic equation is solved for boundary conditions leading to planar Couette flow and heat transport. In the limit of zero Knudsen number but arbitrary uniformity parameter (shear rate), an exact ``normal'' solution is obtained. The velocity distribution function is illustrated explicitly for states far from equilibrium. At finite Knudsen number, the distribution function is obtained from numerical solution of a set of nonlinear, singular integral equations. Results are presented for a range of values of the Knudsen number and uniformity parameter. The approach to a normal state is studied with a determination of the hydrodynamic profiles, velocity slip, shear viscosity, and a nonlinear Burnett transport coefficient.