Numerical study of heat transfer in fully developed laminar flow inside a circular tube
Numerical study of heat transfer in fully developed laminar flow inside a circular tube
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DOI：
10.1007/s00170-015-8104-0
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发表时间：
2016-08-01
影响因子：
3.4
通讯作者：
Belhocine, Ali
中科院分区：
文献类型：
--
作者：
Belhocine, Ali
本数值研究的目的是调查对流传热和流动的水平圆管内的流体在一个充分发展的层流状态下的恒定壁温边界条件下，通常被称为Graetz问题，我们的目标是得到稳定的温度分布的流体。通过使用当前计算工具的数值方法简化了描述具有相关线性或非线性边界条件的温度场的偏微分方程的复杂性。通过正交配置法和有限差分法（Crank-Nicholson法）对简化的能量方程进行数值求解。计算结果表明，正交配置法比Crank-Nicholson法有更好的计算结果。此外，数值计算结果进行了比较，在相同的管直径上获得的实验值。值得注意的是，数值结果与已发表的实验数据吻合良好。
This numerical study is aimed at investigating the convective heat transfer and flow fluid inside a horizontal circular tube in a fully developed laminar flow regime under a constant wall temperature boundary condition, commonly called the Graetz problem; our goal is to get the steady temperature distribution in the fluid. The complexity of the partial differential equation that describes the temperature field with the associated linear or non-linear boundary conditions is simplified by means of numerical methods using current computational tools. The simplified energy equation is solved numerically by the orthogonal collocation method followed by the finite difference method (Crank-Nicholson method). The calculations were effected through a FORTRAN computer program, and the results show that the orthogonal collocation method gives better results than the Crank-Nicholson method. In addition, the numerical results were compared to the experimental values obtained on the same tube diameter. It is important to note that the numerical results are in good agreement with the published experimental data.