Exact solution for the unsteady flow of a semi-infinite micropolar fluid
Exact solution for the unsteady flow of a semi-infinite micropolar fluid作者机构:Department of MathematicsFaculty of ScienceAlexandria University
出 版 物:《Acta Mechanica Sinica》 (力学学报(英文版))
年 卷 期:2011年第27卷第3期
页 面:354-359页
核心收录:
学科分类:080704[工学-流体机械及工程] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 0801[工学-力学(可授工学、理学学位)]
主 题:Unsteady motion . Laplace transform . Microp olar fluid
摘 要: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 coecient is assumed to be zero. Numerical computations are carried out and represented graphically.