粘性流体间夹有多孔介质时的非定常流动及其热传导  

Unsteady Flow and Heat Transfer of Porous Media Sandwiched Between Viscous Fluids

作　　者：J·C·乌玛法什 刘一中[2] J·P·库玛 D·S·米纳 吴承平(译) 张禄坤(校) 

机构地区：[1]古尔伯加大学数学系,古尔伯加-585106卡纳塔克,印度 [2]国立暨南国际大学土木工程系,南投县埔里镇大学路1号54561,中国台湾 [3]不详

出　　处：《应用数学和力学》2010年第12期1415-1434,共20页Applied Mathematics and Mechanics

摘　　要：粘性流体间夹有多孔介质,流经壁面温度等温的水平管道时,研究其非定常振荡流动及其热传导问题.多孔介质中的流动采用Brinkman方程模型.通过集中非周期项和周期项,将偏微分的控制方程转化为常微分方程,并利用边界和界面条件,找到了每个区间的闭式解.数值计算了各种物理参数,如多孔性参数、频率参数、周期频率参数、粘度比、热传导系数比和Prandtl数,对速度和温度场的影响,并给出相应的图形.此外,导出了壁顶和壁底处的热传递率并用表格列出.The problem of unsteady oscillatory flow and heat transfer of porous media sandwiched between viscous fluids through a horizontal channel with isothermal wall temperatures was considered.The flow in the porous medium was modeled using Brinkman equation.The governing partial differential equations were transformed to ordinary differential equations by collecting the non-periodic and periodic terms and closed-form solutions for each region were found after applying the boundary and interface conditions.The influence of physical parameters such as porous parameter,frequency parameter,periodic frequency parameter,viscosity ratios,conductivity ratios and Prandtl number on the velocity and temperature fields were computed numerically and presented graphically.In addition,the numerical values of the heat transfer rate at the top and bottom walls are derived and were tabulated.

关 键 词：非定常 多孔介质 不能混合的流体 水平管道 解析解 

分 类 号：O357.3[理学—流体力学] O368[理学—力学]