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AN IMPROVED SOLUTION TO THE GRAETZ PROBLEM WITH SLIP-FLOW

机译：滑流程对Graetz问题的改进解决方案

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An unproved technique is developed for evaluation of additional eigenvalues of the original Graetz problem extended to slip-flow. The solution involves construction of two matrices, which can be used to calculate the eigenvalues directly and more efficiently than has previously been reported. Four additional eigenvalues were calculated with better accuracy than the previous papers presented by Barron et al. [ 1,2]. The effects of additional eigenvalues on heat transfer (Nusselt number), especially in the thermal entrance length, are discussed and the interpolation function of local Nusselt number as a function of the distance from the tube entrance is also given.
机译：开发出了未经制剂的技术，用于评估原始Graetz问题的额外特征值，延伸到滑动流。 该解决方案涉及构建两个矩阵，其可用于直接计算特征值，比先前的报告更有效地计算特征值。 使用Barron等人提出的前一篇论文来计算四个额外的特征值。 [1,2]。 还讨论了附加特征值对热敏入口长度的效果，并且还给出了作为与管入射距离的距离的局部营地数的插值函数。

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