Exact solution for the unsteady flow of a semi-infinite micropolar fluid
Exact solution for the unsteady flow of a semi-infinite micropolar fluid
复制标题
半无限微极性流体非定常流动的精确解
DOI：
10.1007/s10409-011-0452-4
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发表时间：
2011
影响因子：
3.5
通讯作者：
E. Ashmawy
中科院分区：
文献类型：
--
作者：
H. Sherief;M. Faltas;E. Ashmawy
研究了不可压缩微极流体在水平无限平板边界上的半空间中的非定常运动。使用了拉普拉斯变换技术。在拉普拉斯变换域的解决方案是通过使用直接的方法获得。使用变换的复逆公式以及轮廓积分技术以精确的方式获得逆拉普拉斯变换。当微极性系数假定为零时，经典粘性流体情况下的解被恢复为本工作的特殊情况。数值计算进行和表示图形。
The unsteady motion of an incompressible micropolar fluid filling a half-space bounded by a horizontal infinite plate that started to move suddenly is considered. Laplace transform techniques are used. The solution in the Laplace transform domain is obtained by using a direct approach. The inverse Laplace transforms are obtained in an exact manner using the complex inversion formula of the transform together with contour integration techniques. The solution in the case of classical viscous fluids is recovered as a special case of this work when the micropolarity coefficient is assumed to be zero. Numerical computations are carried out and represented graphically.