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：1989
卷号：12
DOI：10.1155/S0161171289000694
出版社：Hindawi Publishing Corporation
摘要：The two-dimensional flow of a dusty fluid induced by sinusoidal wavy motion
of an infinite wavy wall is considered for Reynolds numbers which are of magnitude
greater than unity. While the velocity components of the fluid and the dust particles
along the axial direction consist of a mean steady flow and a periodic flow, the
transverse components of both the fluid and the dust consist only of a periodic
flow. This is true both for the outer flow (the flow beyond the boundary layer) and
the inner flow (boundary layer flow). It is found that the mean steady flow is
proportional to the ratio 4π2a2/L2(a/L<<1)
, where a and L are the amplitude and the
wavelength of the wavy wall, respectively. Graphs of the velocity components, both
for the outer flow and the inner flow for various values of mass - concentration of
the dust particles are drawn. It is found that the steady flow velocities of the
fluid and the dust particles approach to a constant value. Certain interesting
results regarding the axial and the transverse velocity components are also discussed.
