Peristaltic flow induced by a sinusoidal wave in a moving wall of a two-dimensional viscous
fluid for moderately large Reynolds numb er is investigated. The boundary layer theory has
been considered to b e where its thickness is larger than the amplitude of the wavy wall.
Solutions are obtained in terms of a series expansion with respect to a small amplitude ratio
using a regular perturbation method. Velocity components, for both outer and inner flows
for various values of the Reynolds numb er and wall velocity are represented graphically. The
inner and outer velocity solutions are matched by a matching process. Certain interesting
results regarding the axial and the transverse velocity components are discussed. This problem is regarded as an interesting application to mechanical engineering, where the possibility
of fluid transportation without an external pressure is shown. |
