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Analytical function theory approach to the heat transfer problem of a cylinder in cross-flow at small Peclet numbers

机译:小Peclet数下的横流气缸传热问题的解析函数理论方法

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摘要

The theory of analytical functions is used to study the heat transfer from a uniformly heated cylinder with large length to diameter ratio in cross-flow, in the limit of small Peclet numbers. The energy conservation equation is solved in Fourier's space, and inverted by means of the residue theorem to obtain an analytical expression of the average Nusselt number in closed form. The result agrees with other theoretical solutions of the same problem existing in the literature.
机译:解析函数理论用于研究在小Peclet数的限制下,从长径比大的均匀加热圆柱体传热的情况。能量守恒方程在傅立叶空间中求解,并通过残差定理求逆,以获得封闭形式的平均努塞尔数的解析表达式。结果与文献中存在的相同问题的其他理论解一致。

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