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Comparison of Various Methods for Evaluation of Combined Heat and Mass Transfer in Laminar Falling Films with Constant Film Velocity Part Ⅱ - Analytical methods

机译:恒定膜速度层流降膜传热传质联合评估的各种方法的比较Ⅱ-分析方法

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While the scope of part Ⅰ of the present study is a comparison of the established Fourier method with a finite difference approach this second part introduces another analytical method to solve the system of equations.The Laplace transform is used and the results are compared to the numerical solution presented in part Ⅰ. Temperature and mass fraction profiles across the film, the development of the interface temperature and mass fraction, as well as the absorbed mass flux are presented in dimensionless form for various flow lengths, wall temperatures and Lewis numbers.Additionally an improvement of the established Fourier method is introduced briefly overcoming its mathematical instabilities which are discussed in part Ⅰ of the present study.
机译:虽然本研究的第一部分的范围是已建立的傅立叶方法与有限差分方法的比较,但第二部分介绍了另一种求解方程组的分析方法。 使用拉普拉斯变换,并将结果与​​第一部分中给出的数值解进行比较。薄膜的温度和质量分数分布,界面温度和质量分数的发展以及吸收的质量通量以无量纲形式呈现,适用于各种流动长度,壁温和Lewis数。 另外,简要介绍了已建立的傅立叶方法的一种改进,以克服其数学不稳定性,这将在本研究的第一部分中进行讨论。

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