Vol. 12, No. 1, 2017

Download this article
Download this article For screen
For printing
Recent Issues

Volume 12
Issue 3, 249–351
Issue 2, 147–247
Issue 1, 1–146

Volume 11, 5 issues

Volume 10, 5 issues

Volume 9, 5 issues

Volume 8, 8 issues

Volume 7, 10 issues

Volume 6, 9 issues

Volume 5, 6 issues

Volume 4, 10 issues

Volume 3, 10 issues

Volume 2, 10 issues

Volume 1, 8 issues

The Journal
Cover
Editorial Board
Research Statement
Scientific Advantage
Submission Guidelines
Submission Form
Subscriptions
Author Index
To Appear
 
ISSN: 1559-3959
Computer simulation of the effective viscosity in Brinkman filtration equation using the Trefftz method

Jan Adam Kołodziej, Magdalena Mierzwiczak and Jakub Krzysztof Grabski

Vol. 12 (2017), No. 1, 93–106
Abstract

This paper presents a determination of the effective viscosity in the Brinkman equation by a numerical simulation of an imaginary physical experiment with a viscometer. The model of a porous medium and the applied method of solution are very simple. In the idealized problem, we consider axial flow through an infinite array of cylindrical rods. Assuming that the flow in such a porous medium is described by the Brinkman filtration equation, the effective viscosity can be calculated as a function of the porosity. In this paper, a relation between the volume fraction and the effective viscosity is given for triangular and square arrays of rods.

Keywords
porous media, Brinkman equation, effective viscosity, Trefftz method
Milestones
Received: 29 February 2016
Revised: 22 August 2016
Accepted: 25 September 2016
Published: 26 November 2016
Authors
Jan Adam Kołodziej
Institute of Applied Mechanics
Poznan University of Technology
ul. Jana Pawła II 24
60-965 Poznań
Poland
Magdalena Mierzwiczak
Institute of Applied Mechanics
Poznan University of Technology
ul. Jana Pawła II 24
60-965 Poznań
Poland
Jakub Krzysztof Grabski
Institute of Applied Mechanics
Poznan University of Technology
ul. Jana Pawła II 24
60-965 Poznań
Poland