Finite element method for a fluid flow in a non-uniform channel

A numerical method based on the fnite element method is used for an investigation of viscous, incompressible fuid fowing in a channel with slowly varying cross-section with absorbing walls. The proposed mathematical model can be applied to understand the fow behaviour of a fuid in renal tubules. 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 transverse velocity and mean pressure drop is studied and the results are presented graphically. Results show that the parameters cause a signifcant change on the fow.