@article { author = {Bahoosh-Kazerooni, R. and Kazemzadeh Hannani, S.}, title = {A “v2-f Based” Macroscopic K-Ε Model for Turbulent Flow through Porous Media}, journal = {International Journal of Engineering}, volume = {21}, number = {2}, pages = {195-212}, year = {2008}, publisher = {Materials and Energy Research Center}, issn = {1025-2495}, eissn = {1735-9244}, doi = {}, 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.}, keywords = {Porous,Turbulence,K,ε,v2 − f}, url = {https://www.ije.ir/article_71713.html}, eprint = {https://www.ije.ir/article_71713_6494dea6d3bc7e1767f2d280086f9f86.pdf} }