多孔介质平板通道发展传热中非局部热平衡时的温度分布特征

杨骁; 刘雪梅

多孔介质平板通道发展传热中非局部热平衡时的温度分布特征

杨骁^1,2,
刘雪梅^1,2

1.
上海大学理学院力学系,上海 200444;2.上海市应用数学和力学研究所上海市应用数学和力学研究所,上海 200072

基金项目: 国家自然科学基金资助项目(10272070);上海市重点学科建设资助项目(Y0103)

详细信息

作者简介:
杨骁(1965- ),男,山西人,博士、教授、博导,主要研究多孔介质理论、非线性固体力学(联系人.Tel.+86-21-66134972;Fax:+86-21-66134463;E-mail:xyang@staff.shu.edu.cn).

中图分类号: O357.3；TK124
计量
- 文章访问数: 3292
- HTML全文浏览量: 157
- PDF下载量: 699
- 被引次数: 0
出版历程
- 收稿日期: 2005-06-13
- 修回日期: 2006-04-27
- 刊出日期: 2006-08-15

Temperature Profiles of Local Thermal Nonequilibrium for Thermal Developing Forced Convection in a Porous Medium Parallel Plate Channel

YANG Xiao^1,2,
LIU Xue-mei^1,2

1.
Department of Mechanics, Shanghai University, Shanghai 200444, P. R. China;

摘要

摘要: 研究了多孔介质平板通道中，Darcy流体发展传热强迫对流非局部热平衡下，固相骨架和孔隙流体的温度分布特征．考虑流体流动方向的热传导以及固相和流相相互作用的粘性耗散，根据非局部热平衡的两能量方程模型，得到了常壁温度时多孔介质固相骨架温度和孔隙流体温度的解析解．证明了当两相间的热交换系数趋于无穷大时，两能量方程的温度解趋于局部热平衡时一能量方程的温度解．针对不同的无量纲参数，给出了固相和流相的温度分布状态，通过参数研究，揭示了非局部热平衡强迫对流时温度对无量纲参数的依赖关系．
- 多孔介质 /
- 发展传热强迫对流 /
- 非局部热平衡 /
- Brinkman数 /
- Biot数 /
- Péclet数
Abstract: Based on the two energy equation model,taking into account viscous dissipation due to the interaction between solid skeleton and pore fluid flow,temperature expressions of the solid skeleton and pore fluid flow were obtained analytically for the thermally developing forced convection in a saturated porous medium parallel plate channel,with walls being at constant temperature.It was proved that the temperatures of the two phases for the local thermal nonequilibrium will approach the temperature derived from the one-energy equation model for the local thermal equilibrium when the heat exchange coefficient goes to infinite.The temperature profiles were shown in figures for different dimensionless parameters and the effects of the parameters on the local thermal nonequilibrium is revealed by the parameter study.
- porous medium /
- thermally developing forced convection /
- local thermal nonequilibrium /
- Brinkman number /
- Biot number /
- P clet number

HTML全文

参考文献(16)

[1]	de Boer R.Theory of Porous Media:Highlights in the Historical Development and Current State[M].Berlin, Heidelberg：Springer-Verlag, 2000.
[2]	Voller V R, Peng S. An algorithm for analysis of polymer filling of molds [J].Poly Eng Science,1995,35(22):1758—1765. doi: 10.1002/pen.760352205
[3]	Schrefler B A, Pesavento F. Multiphase flow in deforming porous material[J].Computer and Geotechnics,2004,31(3):237—250. doi: 10.1016/j.compgeo.2004.01.005
[4]	Spiga G, Spiga M. A rigorous solution to a heat transfer two-phase model in porous media and packed beds[J].Heat Mass Transfer,1981,24(2):355—364. doi: 10.1016/0017-9310(81)90043-0
[5]	Schrefler B A. Mechanics and thermodynamics of saturated/unsaturated porous materials and quantitative solutions[J].Appl Mech Rev,2002,55(4):351—388. doi: 10.1115/1.1484107
[6]	Nield D A, Bejan A.Convection in Porous Media[M].second Ed. New York:Spring-Verlag,1999.
[7]	Haji-Sheikh A,Vafai K.Analysis of flow and heat transfer in porous media imbedded inside various-shaped ducts[J].Heat Mass Transfer,2004,47(8/9):1889—1905. doi: 10.1016/j.ijheatmasstransfer.2003.09.030
[8]	Simacek P, Advani S G. An analytic solution for the temperature distribution in flow through porous media in narrow gaps(Ⅰ)—linear injection[J].Heat Mass Transfer,2001,38(1/2):25—33. doi: 10.1007/s002310000184
[9]	Kuznetsov A V, MING Xiong, Nield D A. Thermally developing forced convection in a porous medium: circular duct with walls at constant temperature, with longitudinal conduction and viscous dissipation effects[J].Transport in Porous Media,2003,53(3):331—345. doi: 10.1023/A:1025060524816
[10]	Nield D A, Kuznetsov A V. Thermally developing forced convection in a channel occupied by a porous medium saturated by a non-Newtonian fluid[J].Heat Mass Transfer,2005,48(6):1214—1218. doi: 10.1016/j.ijheatmasstransfer.2004.09.040
[11]	Nield D A. Effects of local thermal nonequilibrium in steady convection processes in a saturated porous medium: forced convection in a channel[J].Porous Media,1998,1(2):181—186.
[12]	Nield D A, Kuznetsov A V. Local thermal nonequilibrium effects in forced convection in a porous medium channel: a conjugate problem[J].Heat Mass Transfer,1999,42(17):3245—3252. doi: 10.1016/S0017-9310(98)00386-X
[13]	MING Xiong, Nield D A, Kuznetsov A V. Effect of local non-equilibrium on thermally developing forced convection in a porous medium[J].Heat Mass Transfer,2002,45(25):4949—4955. doi: 10.1016/S0017-9310(02)00203-X
[14]	Quintard M, Whitaker S.Two-medium treatment of heat transfer in porous media: numerical results for effective properties[J].Adv Water Resour,1997,20(2/3):77—94. doi: 10.1016/S0309-1708(96)00024-3
[15]	Zhang H Y, Huang X Y.A two-equation analysis of convection heat transfer in porous media[J].Transport in Porous Media,2001,44(2):305—324. doi: 10.1023/A:1010774630459
[16]	YANG Xiao.Gurtin-type variational principles for dynamics of a non-local thermal equilibrium saturated porous medium[J].Acta Mechanica Solida Sinica,2005,18(1):37—45.

施引文献

资源附件(0)

访问统计

计量

文章访问数: 3292
HTML全文浏览量: 157
PDF下载量: 699
被引次数: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

留言板

多孔介质平板通道发展传热中非局部热平衡时的温度分布特征

作者简介:
杨骁(1965- ),男,山西人,博士、教授、博导,主要研究多孔介质理论、非线性固体力学(联系人.Tel.+86-21-66134972;Fax:+86-21-66134463;E-mail:xyang@staff.shu.edu.cn).

计量

Temperature Profiles of Local Thermal Nonequilibrium for Thermal Developing Forced Convection in a Porous Medium Parallel Plate Channel

计量

目录

留言板

多孔介质平板通道发展传热中非局部热平衡时的温度分布特征

作者简介: 杨骁(1965- ),男,山西人,博士、教授、博导,主要研究多孔介质理论、非线性固体力学(联系人.Tel.+86-21-66134972;Fax:+86-21-66134463;E-mail:xyang@staff.shu.edu.cn).

计量

出版历程

Temperature Profiles of Local Thermal Nonequilibrium for Thermal Developing Forced Convection in a Porous Medium Parallel Plate Channel

计量

出版历程

目录

作者简介:
杨骁(1965- ),男,山西人,博士、教授、博导,主要研究多孔介质理论、非线性固体力学(联系人.Tel.+86-21-66134972;Fax:+86-21-66134463;E-mail:xyang@staff.shu.edu.cn).