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首页> 外文期刊>International Journal of Mechanical Engineering Education >Prediction of friction factors and axial descent of convective coefficients in laminar flows through internally finned tubes by way of solving two-dimensional heat conduction equations
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Prediction of friction factors and axial descent of convective coefficients in laminar flows through internally finned tubes by way of solving two-dimensional heat conduction equations

机译：通过求解二维热传导方程预测层流通过内部翅片管的摩擦系数和对流系数的轴向下降

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摘要

This paper reports a simple numerical procedure for the prediction of the friction factors and the axial descent of the convection coefficients in the upstream region of internally finned tubes for prevalent laminar regimes. When single-phase viscous fluids are fully developed, the velocity profiles are invariant with the axial coordinate, while the temperature distributions do vary with it. Since the 2-D momentum equation corresponds to a 2-D heat conduction equation, the 2-D velocity profiles supply the product of the friction factor and the Reynolds number, fRe. By implementing the transversal method of lines (TMOL) in the sub-domain z → 0, the 3-D energy equation is transformed into an equivalent quasi 2-D heat conduction equation. The local convective coefficient asymptotes h_(c.z→0) changing with the axial coordinate z → 0 come from the quasi 2-D temperature distributions. The fRe and h_(c,z→0) results have been synthesized for commensureate fin configurations in the sub-domain z → 0 of the heat exchange region where the largest heat transfer activity occurs. The modeling and numerical simulation of the present heat/fluid flow problem articulates concepts learned by students in courses on fluid mechanics, heat transfer and numerical methods.
机译：本文报道了一种简单的数值程序，用于预测层流状态下内部翅片管上游区域的摩擦系数和对流系数的轴向下降。当单相粘性流体充分发育时，速度分布随轴向坐标不变，而温度分布确实随其变化。由于二维动量方程对应于二维热传导方程，因此二维速度分布图提供了摩擦系数与雷诺数fRe的乘积。通过在子域z→0中实施线的横向方法（TMOL），可将3-D能量方程式转换为等效的准2-D导热方程式。随轴坐标z→0变化的局部对流系数渐近线h_（c.z→0）来自准二维温度分布。已经合成了fRe和h_（c，z→0）的结果，用于在发生最大传热活性的热交换区域的子域z→0中的相应翅片构型。当前热/流体流动问题的建模和数值模拟清楚地表明了学生在流体力学，传热和数值方法课程中所学到的概念。

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