幂律流体饱和多孔介质通道中的粘性耗散效应

Effects of Viscous Dissipation on Power-Law Fluid-Saturated Porous Medium in a Parallel Plate Channel

中文关键词: 幂律流体  多孔介质  粘性耗散  对流换热  数值模拟

英文关键词: power-law fluid  porous medium  viscous dissipation  convective heat transfer  numerical simulation

中文摘要:

      针对Darcy-Brinkman-Forchheimer流动模型,分析了幂律型非牛顿流体在填充多孔介质平板通道中强迫对流换热过程充分发展的粘性耗散效应,并比较了三个不同的粘性耗散项Darcy项、Al-Hadhrami项和Forchheimer项对流动换热率的影响。推导出了无量纲轴向流速分布和无量纲温度分布的计算表达式,并在恒热流边界条件下,利用经典Runge-Kutta法进行数值求解。模拟结果表明,布林克曼数Br、达西数Da、综合惯性参数F和幂律指数n等重要参数对无量纲温度分布有着较大的影响,同时发现不同的粘性耗散效应对流动换热特性也有着重要的影响。

英文摘要:

      Based on Darcy-Brinkman-Forchheimer flow model, the effects of viscous dissipation on power-law fluid saturated porous medium in a parallel plate channel for fully developed forced convection flow was analyzed, and the effects of three different viscous dissipation terms, namely Darcy term, the Al-Hadharami term and Forchheimer term on forced convective heat transfer was compared. The dimensionless calculation expressions of the axial velocity distribution and temperatur distribution was deduced, and was solved numerically by employing the classical Runge-Kutta fourth order scheme subject to uniform heat flux. Variations of dimensionless temperature as a function of Brinkman number, Darcy number, Forchheimer inertial parameter and the power-law index are examined and discussed. It is found that the temperature pro?les is much in?uenced by the relative magnitude of these dimensionless parameters, the results also indicate that the rate of heat transfer is signi?cantly affected by different viscous dissipation Effects.