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Computer simulation
of the effective viscosity in Brinkman filtration equation
using the Trefftz method
Jan Adam Kołodziej, Magdalena Mierzwiczak and Jakub Krzysztof Grabski |
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Vol. 12 (2017), No. 1, 93–106
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Abstract |
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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
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Milestones
Received: 29 February 2016
Revised: 22 August 2016
Accepted: 25 September 2016
Published: 26 November 2016
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Authors |
| Jan Adam Kołodziej | |
| Institute of Applied Mechanics Poznan University of Technology ul. Jana Pawła II 24 60-965 Poznań Poland |
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| Magdalena Mierzwiczak | |
| Institute of Applied Mechanics Poznan University of Technology ul. Jana Pawła II 24 60-965 Poznań Poland |
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| Jakub Krzysztof Grabski | |
| Institute of Applied Mechanics Poznan University of Technology ul. Jana Pawła II 24 60-965 Poznań Poland |
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