期刊名称:International Journal of Mathematics and Mathematical Sciences
印刷版ISSN:0161-1712
电子版ISSN:1687-0425
出版年度:2003
卷号:2003
DOI:10.1155/S0161171203301498
出版社:Hindawi Publishing Corporation
摘要:We examine the unsteady flow of a two-phase fluid generated by
the nontorsional oscillations of a disk when the disk and the
fluid at infinity rotate noncoaxially with the same angular
velocity. The solutions are obtained for both the fluid and the
particle velocities in closed form. It is found that the
solutions remain valid for all values of the frequency of
oscillations of the disk including the resonant frequency, which
is equal to the angular velocity of rotation. But, in absence of
particles, only in the case of resonance no oscillatory solution
is possible, which is similar to that of solid-body rotation as
pointed out by Thornley (1968). It is also shown that, unlike
the case of single-disk configuration, no unique solution exists
in a double-disk configuration, a result which is the reverse to that of solid-body rotation. Finally, the results are presented graphically to determine the quantitative response of the particle on the flow.