International Journal of Mathematics and Mathematical Sciences
Volume 26 (2001), Issue 4, Pages 199-223

Induced dusty flow due to normal oscillation of wavy wall

K. Kannan1 and V. Ramamurthy2

1Department of Mathematics, Shanmugha College of Engineering, Thirumalaisamudram, Thanjavur, Tamil Nadu 613402, India
2Department of Mathematics, A. C College of Technology, Karaikudai, Tamil Nadu, India

Received 22 May 2000

Copyright © 2001 K. Kannan and V. Ramamurthy. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A two-dimensional viscous dusty flow induced by normal oscillation of a wavy wall for moderately large Reynolds number is studied on the basis of boundary layer theory in the case where the thickness of the boundary layer is larger than the amplitude of the wavy wall. Solutions are obtained in terms of a series expansion with respect to small amplitude by a regular perturbation method. Graphs of velocity components, both for outer flow and inner flow for various values of mass concentration of dust particles are drawn. The inner and outer solutions are matched by the matching process. An interested application of present result to mechanical engineering may be the possibility of the fluid and dust transportation without an external pressure.