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首页> 外文期刊>Journal of porous media >COMPARISON STUDY OF DIFFERENT VISCOUS DISSIPATION EFFECTS ON FORCED CONVECTION HEAT TRANSFER IN A POWER LAW FLUID SATURATED POROUS MEDIUM
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COMPARISON STUDY OF DIFFERENT VISCOUS DISSIPATION EFFECTS ON FORCED CONVECTION HEAT TRANSFER IN A POWER LAW FLUID SATURATED POROUS MEDIUM

机译：幂律流体饱和多孔介质中不同对流耗散对强迫对流换热影响的比较研究

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摘要

Based on the Darcy-Brinkman-Forchheimer flow model, this study analyzed and compared the viscous dissipation effects during the process of a forced and fully developed convection heat transfer in a flat channel. The channel was filled with a kind of porous medium saturated by a power law fluid. Three different terms were considered to analyze the viscous dissipation, namely, the Darcy term, Al-Hadharami term, and Forchheimer term. In this comparative study, we have taken the Forchhemier term into consideration since some researchers thought it might have an indirect effect on the dissipation function, although others argued. The dimensionless calculation expressions of the axial velocity distribution and temperature distribution were deduced, and solved numerically by employing the classical Runge-Kutta fourth-order scheme subject to uniform heat flux. Variations of the dimensionless temperature are examined and discussed, which is the function of the Brinkman number, Darcy number, Forchheimer inertial parameter, and power law index. It is found that the temperature profiles were quite close to the velocity profiles and obviously influenced by the relative magnitude of these dimensionless parameters. The results also indicated that the rate of heat transfer was significantly affected by different viscous dissipation terms.
机译：基于Darcy-Brinkman-Forchheimer流动模型，本研究分析并比较了在平坦通道中强制和充分发展的对流换热过程中的粘性耗散效应。通道中充满了一种幂律流体饱和的多孔介质。考虑了三个不同的术语来分析粘性耗散，即达西术语，Al-Hadharami术语和Forchheimer术语。在此比较研究中，我们考虑了Forchhemier术语，因为有些研究人员认为它可能对耗散函数具有间接影响，尽管其他人则认为。推导了轴向速度分布和温度分布的无量纲计算表达式，并采用受均匀热通量影响的经典Runge-Kutta四阶方案进行了数值求解。研究并讨论了无量纲温度的变化，这是Brinkman数，Darcy数，Forchheimer惯性参数和幂律指数的函数。发现温度分布与速度分布非常接近，并且明显受到这些无量纲参数的相对大小的影响。结果还表明，不同的粘性耗散项对传热速率有显着影响。

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