Development and application of a multi-scale k–ε model for turbulent porous medium flows

Autor:	Kazuhiko Suga, Yusuke Kuwata, Yota Sakurai
Rok vydání:	2014
Předmět:	Fluid Flow and Transfer Processes Physics Turbulence K-epsilon turbulence model Mechanical Engineering Turbulence modeling Reynolds stress equation model Reynolds stress Mechanics Covariance Condensed Matter Physics Physics::Fluid Dynamics Mixing length model Statistical physics Porous medium
Zdroj:	International Journal of Heat and Fluid Flow. 49:135-150
ISSN:	0142-727X
DOI:	10.1016/j.ijheatfluidflow.2014.02.007
Popis:	A multi-scale k – e eddy viscosity model for turbulence in porous media is developed. When the double averaging is applied to the momentum equation, the dispersive covariance, the macro-scale and micro-scale Reynolds stresses appear and need modelling to close the equation. The conventional eddy viscosity modelling is applied to model the second moments for engineering applications. A k – e two-equation eddy viscosity model is employed for obtaining the volume averaged Reynolds stress which consists of the macro-scale and the micro-scale Reynolds stresses. The micro-scale Reynolds stress is also independently modelled and obtained by solving another set of k and e equations, whilst an algebraic model is developed for the dispersive covariance. The presently proposed multi-scale four equations eddy viscosity model is evaluated in developed turbulent flows in homogeneous porous media, porous wall channel flows and porous rib-mounted channel flows with satisfactory accuracy.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::09a4ed2bce0bb382e620f8c67429ecd9 https://doi.org/10.1016/j.ijheatfluidflow.2014.02.007 Zobrazit plný text záznamu Full Text from ScienceDirect