Mechanical Engineering, Sharif University of Technology
Abstract
In this paper a new macroscopic k-ε model is developed and validated for turbulent flow through porous media for a wide range of porosities. The morphology of porous media is simulated by a periodic array of square cylinders. In the first step, calculations based on microscopic v2 − f model are conducted using a Galerkin/Least-Squares finite element formulation, employing equalorder bilinear velocity-pressure elements. Calculations are validated by comparing the results to available data in the literature. In the second step, the volume averaged properties are extracted fromthe microscopic solution of v2 − f model. Then, employing the volume average technique, the macroscopic transport equations of continuity, momentum and k-ε model are derived and modeled. Inthe third step and during the volume averaging process, additional terms appeared in the k-ε model are interpreted and compared with the volume averaged properties that are extracted from the solutionof microscopic v2 − f model. Finally a “ v2 − f based” macroscopic k-ε model is developed and validated successfully for a wide range of porosities by comparing the macroscopic data to those predicted by microscopic v2 − f model. Moreover, the results of the calculations are compared with the result of an experimental work in the literature in order to validate the accuracy of the model.
Bahoosh-Kazerooni, R., & Kazemzadeh Hannani, S. (2008). A “v2-f Based” Macroscopic K-Ε Model for Turbulent Flow through Porous Media. International Journal of Engineering, 21(2), 195-212.
MLA
R. Bahoosh-Kazerooni; S. Kazemzadeh Hannani. "A “v2-f Based” Macroscopic K-Ε Model for Turbulent Flow through Porous Media". International Journal of Engineering, 21, 2, 2008, 195-212.
HARVARD
Bahoosh-Kazerooni, R., Kazemzadeh Hannani, S. (2008). 'A “v2-f Based” Macroscopic K-Ε Model for Turbulent Flow through Porous Media', International Journal of Engineering, 21(2), pp. 195-212.
VANCOUVER
Bahoosh-Kazerooni, R., Kazemzadeh Hannani, S. A “v2-f Based” Macroscopic K-Ε Model for Turbulent Flow through Porous Media. International Journal of Engineering, 2008; 21(2): 195-212.
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