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2 Technical Sciences / University of Warmia and Mazury in Olsztyn

2 2014

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Darcy’s and Forchheimer’s laws in practice. Part 2. The numerical model

Sobieski W., Trykozko A.

Technical Sciences / University of Warmia and Mazury in Olsztyn

2014

nr 17(4)

337-350

Our study is based on a column experiment of water flow through a porous granular bed. In Part 1 we propose eight methods to derive parameters of flow models based on measurement data. These parameters are permeability and Forchheimer coefficient for Darcy’s and Forchheimer’s laws. The approach presented in this part uses two numerical models to perform simulations of flow. One model is based on the Finite Element Method implemented in the authors’ code. The second model, which is ANSYS/Fluent package, uses the Finite Volume Method. Results of numerical computations are compared with experimental data that allows determination of the best method of parameter evaluation (in which the error was less than 3% over the whole range of filtration velocities). The problem of identification of ranges of applicability of the Darcy’s and Forchheimer’s laws is also addressed. In the conclusions, a set of guidelines is given, which should facilitate planning a similar experiment and its computational processing.

Darcy’s and Forchheimer’s laws in practice. Part 1. The experiment

Sobieski W., Trykozko A.

Technical Sciences / University of Warmia and Mazury in Olsztyn

2014

nr 17(4)

321--335

The aim of this study is to derive flow parameters, which are permeability and Forchheimer coefficient, based on experimentally measured flow rates and pressure drops. When flow rates used in measurements exceed the limits of linear Darcy’s flow regime we discuss what needs to be taken into account while processing the measurements. The study consists of two parts. In this part we briefly recall Darcy’s and Forchheimer’s laws and address the issue of detecting transition between ranges of their applicability. Then we describe the experiment and discuss 8 different ways to process measurement data, four for Darcy’s, and four for Forchheimer’s models. The main topic of the second part is to provide recommendations for the best ways to process data, so that the results obtained with numerical models are in the best agreement with the experimental data. The results shown in the two papers belong to a larger work devoted to modeling fluid flows through porous media, with a special interest in granular beds.