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首页> 外文期刊>International Journal of Heat and Mass Transfer >Transient forced convection from an infinite cylindrical heat source in a saturated Darcian porous medium
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Transient forced convection from an infinite cylindrical heat source in a saturated Darcian porous medium

机译：来自饱和达西多孔介质中无限圆柱热源的瞬态强迫对流

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摘要

This paper deals with the problem of an infinite cylindrical heat source embedded into a saturated porous medium and subject to a cross-axial Darcian flow. Only forced convection is considered. We derived the transient dimensionless solution through a combined analytical - numerical method consisting of four steps: (a) a preliminary dimensional analysis of the constitutive equations of the problem in order to find the dimensionless groups governing the solution; (b) the identification of the validity range of the model as a function of the just-mentioned dimensionless groups; (c) the numerical resolution of the problem; (d) the synthesis of the numerical results in a general dimensionless form. Specifically, we provide several dimensionless maps of the 2D thermal field evolution for six different orders of magnitude of the Peclet number (10~3-10~2). The evolution of the temperature of the heat source is fully illustrated and discussed through plain dimensionless criteria. Then, we discuss the time, space and fluid velocity scales in which the solution is practically equivalent to the ones given by a linear heat source and a purely conductive model. We conclude that the present model has to be employed to evaluate the temperature in proximity of the heat source when the reference Peclet number is greater than 0.5. On the contrary, the linear model can be successfully used for radial distances 5-10 times greater that the heat source radius, depending on the reference Peclet number.
机译：本文研究的是无限圆柱热源嵌入饱和多孔介质中并经受横轴Darcian流的问题。仅考虑强制对流。我们通过组合的分析-数值方法，由四个步骤组成，得出了瞬态无因次解：（a）对问题的本构方程进行初步的维数分析，以便找到控制该解的无因次组； （b）根据上述无量纲组确定模型的有效范围； （c）问题的数字解决方案； （d）以一般的无量纲形式合成数值结果。具体来说，我们提供了6个不同数量级的Peclet数（10〜3-10〜2）的二维热场演化的无因次图。通过简单的无量纲标准充分说明和讨论了热源温度的变化。然后，我们讨论时间，空间和流体速度尺度，其中的解实际上等于线性热源和纯传导模型给出的解。我们得出的结论是，当参考Peclet数大于0.5时，必须采用本模型来评估热源附近的温度。相反，线性模型可以成功地用于比热源半径大5到10倍的径向距离，具体取决于参考Peclet数。

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