DOI: 10.1002/2014GL060232
论文题名: Transition of effective hydraulic properties from low to high Reynolds number flow in porous media
作者: Sivanesapillai R. ; Steeb H. ; Hartmaier A.
刊名: Geophysical Research Letters
ISSN: 0094-9923
EISSN: 1944-9654
出版年: 2014
卷: 41, 期: 14 起始页码: 4920
结束页码: 4928
语种: 英语
英文关键词: High velocity flow in porous media
; Pore-scale simulations
; Smoothed Particle Hydrodynamics
Scopus关键词: Control nonlinearities
; Reynolds number
; Apparent permeabilities
; Flow through porous medias
; Forchheimer equation
; Gradual transition
; High-velocity flows
; Hydraulic properties
; Pore-scale simulation
; Smoothed particle hydrodynamics
; Porous materials
; Darcy law
; hydraulic property
; hydrodynamics
; inertia
; permeability
; porous medium
; Reynolds number
; turbulent flow
英文摘要: We numerically analyze fluid flow through porous media up to a limiting Reynolds number of O(103). Due to inertial effects, such processes exhibit a gradual transition from laminar to turbulent flow for increasing magnitudes of Re. On the macroscopic scale, inertial transition implies nonlinearities in the relationship between the effective macroscopic pressure gradient and the filter velocity, typically accounted for in terms of the quadratic Forchheimer equation. However, various inertia-based extensions to the linear Darcy equation have been discussed in the literature; most prominently cubic polynomials in velocity. The numerical results presented in this contribution indicate that inertial transition, as observed in the apparent permeability, hydraulic tortuosity, and interfacial drag, is inherently of sigmoidal shape. Based on this observation, we derive a novel filtration law which is consistent with Darcy's law at small Re, reproduces Forchheimer's law at large Re, and exhibits higher-order leading terms in the weak inertia regime. © 2014. American Geophysical Union. All Rights Reserved. URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84904534965&doi=10.1002%2f2014GL060232&partnerID=40&md5=61ec5b013ce2ebbb1ebabe960e53cfb3
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资源类型: 期刊论文
标识符: http://119.78.100.158/handle/2HF3EXSE/7187
Appears in Collections: 气候减缓与适应
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作者单位: Interdisciplinary Centre for Advanced Materials Simulation, Ruhr-Universität Bochum, Bochum, Germany
Recommended Citation:
Sivanesapillai R.,Steeb H.,Hartmaier A.. Transition of effective hydraulic properties from low to high Reynolds number flow in porous media[J]. Geophysical Research Letters,2014-01-01,41(14).