考虑非达西效应的多孔介质与自由流体多层泊松流求解问题

doi:10.13722/j.cnki.jrme.2014.0032

摘要
图/表
参考文献
相关文章 (15)

全文: PDF (305 KB) HTML (1 KB)
输出: BibTeX | EndNote (RIS)

摘要对多孔介质内部，以及多孔介质与自由流体界面间的复杂质量、动量传递问题进行分析研究。提出含有多孔介质层和流体层复杂结构下，考虑非达西效应的量纲一化的通用数学方程式，指出以往文献得不到解析解是由于处理超大指数的数学原因，设定物理参数的制约条件是不合理的。提出将多孔介质层分为核心区域与边界影响区，以多孔介质和流体层同时存在的多层结构水平泊松流为例，采用Runge-Kutta-Gill方法进行基础稳定流解的数值求解，与以往模型进行对比验证。研究结果表明：在Da数与孔隙度不变情况下，单独改变Re数对流型结构并未有多大改变，但改变Da数与孔隙度均对流型有较大影响。

	服务

	把本文推荐给朋友
	加入我的书架
	加入引用管理器
	E-mail Alert
	RSS
	作者相关文章

关键词 ：渗流力学, 多孔介质, 非达西效应, 界面条件, 泊松流

Abstract：The complicated mass and momentum transfer problems in the porous regions，especially at the interface between porous and open fluid regions were analyzed. By taking the Brinkman viscous dissipation term and Forchheimer nonlinear inertia term into account，a new and more general nondimensionalized governing equation was proposed. It was noticed that in the previous literature an analytical solution cannot be obtained freely，and a limitation equation for the given physical parameters had to be proposed，which believed that previous models need to deal with an infinite large number. In this paper，a method that the porous region can be divided into two regions，core region and near boundary region was proposed. Taking the Poiseuille flow model with one open fluid layer in the center and two porous layers aside as an example，the basic flow by solving the difference equation using the Runge-Kutta-Gill method was obtained，which was validated by comparing with those of previous literature. The results show that under the condition of constant Darcy number Da and porosity ?，there is less effect on the basic flow pattern by varying Reynolds number Re alone，while changing the Da or ? has a great influence.

Key words： seepage mechanics porous medium non-Darcy effect interfacial boundary condition Poiseuille flow

引用本文:

戴传山1，2，李琪1，2，雷海燕1，2. 考虑非达西效应的多孔介质与自由流体多层泊松流求解问题[J]. 岩石力学与工程学报, 2015, 34(s1): 3455-3459.
DAI Chuanshan1，2，LI Qi1，2，LEI Haiyan1，2. SOLUTION FOR THE POISEUILLE FLOW IN A FLUID CHANNEL WITH A POROUS MEDIUM INSERT BY CONSIDERING NON-DARCY EFFECTS. , 2015, 34(s1): 3455-3459.

链接本文:

http://www.rockmech.org/CN/10.13722/j.cnki.jrme.2014.0032 或 http://www.rockmech.org/CN/Y2015/V34/Is1/3455

[3]	NASSEHI V. Modelling of combined Navier Stokes and Darcy flows in cross?ow membrane filtration[J]. Chemical Engineering Science，1998，53(6)：1 253-1 265. " target="_blank">
[19]	OCHOA-TAPIA J A，WHITAKER S. Momentum transfer at the boundary between a porous medium and a homogeneous fluid II. comparison with experiment[J]. International Journal of Heat and Mass Transfer，1995，38(14)：2 647-2 655. " target="_blank">
[2]	GOHARZADEH A，KHALILI A，JORGENSEN B B. Transition layer thickness at a fluid-porous interface[J]. Physics of Fluids，2005，17(5)：057102. " target="_blank">
[4]	MAJDALANI J，ZHOU C，DAWSON C A. Two-dimensional viscous flow between slowly expanding or contracting walls with weak permeability[J]. Journal of Biomechanics，2002，35(10)：1 399-1 403. " target="_blank">
[11]	NIELD D A. The stability of flow in a channel or duct occupied by a porous medium[J]. Journal of Heat Transfer，2003，46(22)：4 351-4 354. " target="_blank">
[14]	TILTON N，CORTELEZZI L. Linear stability analysis of pressure-driven flows in channels with porous walls[J]. Journal of Fluid Mechanics，2008，604(6)：411-445. " target="_blank">
[7]	DAI C S. Numerical modeling of the Botn low temperature geothermal field，N-Iceland[R]. Reykjavik，Iceland：UNU Geothermal Training Programme Reykjavik，1992：5-20. " target="_blank">
[9]	盛金昌. 多孔介质流-固-热三场全耦合数学模型及数值模拟[J]. 岩石力学与工程学报，2006，25(增1)：3 028-3 033.(SHENG Jinchang. Fully coupled thermal-hydro-mechanical model of saturated porous media and numerical modeling[J]. Chinese Journal of Rock Mechanics and Engineering，2006，25(Supp.1)：3 028-3 033.(in Chinese))
[12]	AVRAMENKO A A，KUZNETSOV A V，BASOK B I，et al. Investigation of stability of a laminar flow in a parallel-plate channel filled with a fluid saturated porous medium[J]. Physics of Fluids，2005，17(5)：094102. " target="_blank">
[16]	WARD J C. Turbulent flow in porous media[J]. ASCE Journal of Hydraulics Division，1965，90(HY5)：1-12. " target="_blank">
[18]	VAFAI K，KIM S J. Discussion：“Forced convection in a porous channel with localized heat sources”[J]. Journal of Heat Transfer，1995，117(4)：1 097-1 098. " target="_blank">
[20]	OCHOA-TAPIA J A，WHITAKER S. Momentum jump condition at a boundary between a porous medium and a homogeneous fluid：inertial effects[J]. Journal of Porous Media，1998，1(1)：201-217. " target="_blank">
[1]	BERKOWITZ B. Characterizing flow and transport in fractured geological media：a review[J]. Advances in Water Resources，2002，25(8)：861-884. " target="_blank">
[5]	CHANG H N，HA J S，PARK J K，et al. Velocity field of pulsatile flow in a porous tube[J]. Journal of Biomechanics，1989，22(11)：1 257-1 262 " target="_blank">
[6]	CHANDESRIS M，JAMET D. Boundary conditions at a planar fluid-porous interface for a Poiseuille flow[J]. International Journal of Heat and Mass Transfer，2006，49(13)：2 137-2 150. " target="_blank">
[8]	金俊卿，郑云萍. FLUENT软件在油气储运工程领域的应用[J]. 天然气与石油，2013，31(2)：27-30.(JIN Junqing，ZHENG Yunping. Application of FLUENT software in oil and gas storage and transportation engineering design[J]. Natural Gas and Oil，2013，31 (2)：27-30.(in Chinese)) " target="_blank">
[10]	VAFAI K，KIM S J. Forced convection in a channel filled with a porous medium：an exact solution[J]. Journal of Heat Transfer，1989，111(4)：1 103-1 106. " target="_blank">
[13]	TILTON N，CORTELEZZI L. The destabilizing effects of wall permeability in channel flows：a linear stability analysis[J]. Physics of Fluids，2006，18(5)：051702. " target="_blank">
[15]	NIELD D A，BEJAN A. Convection in porous media[M]. 2nd ed. New York：Springer，2005：10-11. " target="_blank">
[17]	BEAVERS G S，SPARROW E M，RODENZ D E. Influence of bed size on the flow characteristics and porosity of randomly packed beds of spheres[J]. Journal of Applied Mechanics，1973，40(E3)：655-660. " target="_blank">