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

Year 2016, Volume: 1 Issue: 3, 31 - 46, 01.09.2016

Tesfahun Berhane Mebratu F. Wakeni

Abstract

A numerical method based on the finite element method is used for an investigation of viscous, incompressible fluid flowing
in a channel with slowly varying cross-section with absorbing walls. The proposed mathematical model can be applied to understand
the flow behaviour of a fluid 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 significant change on the
flow.

Keywords

Fluid flow, Finite element method, Non-uniform channel