用最优同伦分析法解析斜转盘上凝结膜三维定常流动

Q3 Multidisciplinary

Walailak Journal of Science and Technology Pub Date : 2013-07-01 DOI:10.2004/WJST.V10I5.255

H. N. Hassan, Mohammad Mehdi Rashidi

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引用次数: 13

摘要

本文利用最优同伦分析法(OHAM)，导出了倾斜旋转圆盘上凝聚膜三维稳定问题的高精度解析解。利用相似解法，可以将控制方程简化为一个非线性常微分方程系统。利用平均残差法推导了HAM中的控制参数。利用最优控制参数对解析解的收敛性和精度提供了较好的控制。给出了速度分布和温度分布，并详细讨论了普朗特数对温度分布的影响。数值结果验证了所得解的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Analytical Solution for Three-Dimensional Steady Flow of Condensation Film on Inclined Rotating Disk by Optimal Homotopy Analysis Method

In this paper, the Optimal Homotopy Analysis Method (OHAM) has been used to derive a highly accurate analytic solution for the steady three-dimensional problem of a condensation film on an inclined rotating disk. With a similarity solution method, the governing equations can be reduced to a system of nonlinear ordinary differential equations (ODEs). The control parameter (ħ) in the HAM is derived by using the averaged residual error method. Using the optimal control parameter provides a superior control on the convergence and accuracy of the analytical solution. The velocity and temperature profiles are shown and the influence of Prandtl number on the temperature profiles is discussed in detail. The validity of the obtained solutions is verified by the numerical results.

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来源期刊

Walailak Journal of Science and Technology Multidisciplinary-Multidisciplinary

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

24 weeks

期刊介绍： The Walailak Journal of Science and Technology (Walailak J. Sci. & Tech. or WJST), is a peer-reviewed journal covering all areas of science and technology, launched in 2004. It is published 12 Issues (Monthly) by the Institute of Research and Innovation of Walailak University. The scope of the journal includes the following areas of research : - Natural Sciences: Biochemistry, Chemical Engineering, Chemistry, Materials Science, Mathematics, Molecular Biology, Physics and Astronomy. -Life Sciences: Allied Health Sciences, Biomedical Sciences, Dentistry, Genetics, Immunology and Microbiology, Medicine, Neuroscience, Nursing, Pharmaceutics, Psychology, Public Health, Tropical Medicine, Veterinary. -Applied Sciences: Agricultural, Aquaculture, Biotechnology, Computer Science, Cybernetics, Earth and Planetary, Energy, Engineering, Environmental, Food Science, Information Technology, Meat Science, Nanotechnology, Plant Sciences, Systemics