Three Dimensional Simulation of Oscillatory Flow in Partial Porous Tube

TL;DR

This paper models and simulates oscillatory flow in a straight tube with a porous layer, analyzing velocity profiles and phase differences using a 3D finite volume approach.

Contribution

It introduces a combined Navier-Stokes and Darcy-Brinkmann model for oscillatory flow in porous tubes, solved with a 3D unstructured finite volume method.

Findings

Velocity profile for high permeability porous layer is significantly different.

Phase differences vary with porous layer properties.

Maximum velocity position shifts across the cross-section.

Abstract

Characteristics of Oscillating Flow in a Straight Tube with varying thickness of porous layer at the wall is studied. Results for two different porous layer is discussed and compared in terms of Velocity Profile, phase differences and radial position of maximum velocity over the cross-section. Present problem is modeled using Navier-Stokes Equation in clear medium at the core of tube while Darcy-BrinkmannForcheimmer Model is used for the outer porous layer. Solutions for these equations have been obtained using Finite Volume Method based 3D unstructured solver. Velocity profile obtained for tube with high permeability porous layer is the main highlight of results.