悬浮流中柱状粒子取向分布函数的数值模拟

推导并数值模拟了悬浮流中柱状粒子取向的分布函数，并将其用于楔形流场计算，得到了取向分布函数与粒子方向角的关系。说明与短时间内形成的最可几角分布相比，稳定状态的分布变化幅度不大，主要变化 在于右上区域的逆时针转动，速度梯度值大的地方，转动角度也越大；粒子最可几方向接近于流线方向：在流线方向上，随着极径减小，最可几角增大，同时它与流线夹角减小。

Numerical Simulation of Orientation Distribution Function of Cylindrical Particle Suspensions

The orientation distribution function of cylindrical particle suspensions was deduced and numerically simulated, and an application was taken in a wedge_shaped flow field. The relationship between the orientation distribution function and particle orientation angles was obtained. The results show that comparing with the most probable angle distribution which comes to being in short time, the distribution of the steady state doesn't vary much in range; the main difference is the anti_clockwise rotation in the right and upper field, that is, particles rotate more at the points where the velocity gradients are larger. The most probable orientations are close to the direction of local streamlines. In the direction of streamlines, with poleradius decreasing, the most probable angles increase, but the angles between their orientations and the local streamlines decrease.