Seepage equation and relative resistance scaling law considering high Reynolds number flow in porous media

2nd International Conference on Frontiers of Materials Synthesis and Processing

Liu, Junwen^1 ; Wang, Xiaohong^1 ; Wang, Min^1

Department of Thermal Science and Energy Engineering, University of Science and Technology of China, Hefei

230026, China^1

关键词: Average velocity;    Computational costs;    Computational stability;    High Reynolds number flows;    Macroscopic flow;    Relative resistance;    Seepage equations;    Volume averaging method;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/493/1/012110/pdf
DOI  :  10.1088/1757-899X/493/1/012110

来源: IOP

【 摘 要 】

Based on the volume averaging method, the local linearized macroscopic flow equation in porous media with inertia effect is derived, and the solution of Navier-Stokes equation with large Re can be obtained recursively, thus avoiding the problems of high computational cost and poor computational stability caused by solving Navier-Stokes equation directly. An example of a square periodic array model shows that the average velocity direction is not always consistent with the direction of the macroscopic pressure gradient.