【作者】 潘俊英；

【导师】 周晓君；

【作者基本信息】 中国石油大学 ， 油气田开发工程， 2008， 硕士

【摘要】 引入研究多孔介质流体流动和传热的体积平均方法和体积平均原理,获得了幂律流体的体积平均连续性方程和体积平均运动方程;分析了体积平均运动方程中的单位体积阻力,采用Darcy阻力经验公式,考虑Forchheimer惯性阻力和Brinkman边界层粘性阻力,得到了幂律流体在多孔介质内流动的Brinkman-Forchheimer广义Darcy定律。提出了幂律流体在有界多孔介质内的结构流概念,并通过边界层动量积分计算证实了流核的存在,获得了流核流速和流核半径的计算结果;分析了Darcy数、惯性参数、孔隙度和幂律指数对速度剖面和阻力因子的影响程度,详细阐述了假塑性流体与膨胀性流体在多孔介质内流动的特点和区别。对幂律流体在充满多孔介质两维平板中充分发展非达西强化换热进行了理论分析,应用积分法对闭合边界层的温度分布和充分发展的Nusselt数进行了求解,结果表明多孔介质中幂律流体强化换热的重要特征,为更复杂数值解的计算提供方便。研究获得的幂律流体在多孔介质中的流动和换热特性,为油气开采、地下水资源开发等领域提供理论指导。更多还原

【Abstract】 The method of volume averaging various parameters of flow and heat transfer in porous media and averaging theorem was introduced. The volume averaged forms of the continuity equation and momentum equation were obtained for the flow in porous media of power law fluids. The total drag force per unit volume was considered as the bulk damping resistance due to the porous structure and the resistance due to the inertia forces and boundary layer viscous forces, then the Brinkman-Forchheimer extended Darcy model and its modified form for power law fluids was obtained from the averaged momentum equation. The structural flow in a pipe containing porous medium saturated with a power law fluid was introduced in the present study. By means of the integral method, the boundary layer solutions were obtained for the flow core velocity and its corresponding radius. These theoretical solutions were used to analyze the effects of the Darcy number, inertia parameter, porosity and power law index on the axial velocity profile and the friction factor in the porous medium pipe. The characteristic and difference of flow in porous media between the pseudoplastic fluids and the dilatant fluids was described in detail. A new theoretical analysis of fully developed non-Darcy forced convection in a two dimensional channel containing a fibrous medium saturated with a power law fluid was conducted. Closed-form boundary layer solutions using the integral method were obtained for temperature fields and fully developed Nusselt number. These theoretical solutions can be used to predict primary characteristics of physical phenomena associated with forced convection of power law fluids in porous media, and are convenient to serve as a benchmark for more complicated numerical solutions. The acquired flow and heat transfer results of power law fluids in porous medium could give guides to oil & gas production and groundwater resource exploitation.更多还原