In this paper, a numerical method employing a finite difference
technique is used for an investigation of
viscous, incompressible fluid flow in a tube with absorbing wall
and slowly varying cross-section. The effect
of fluid absorption through permeable wall is accounted by
prescribing flux as a function of axial distance.
The method is not restricted by the parameters in the problem
such as wave number, permeability parameter,
amplitude ratio and Reynolds number. The effects of these parameters
on the radial velocity and mean pressure
drop is studied and the results are presented graphically. Comparison
is also made between the results obtained by
perturbation method of solution and present approach.