传热方程参数化问题的最优同伦解析解

Q3 Multidisciplinary

Walailak Journal of Science and Technology Pub Date : 2013-12-23 DOI:10.2004/WJST.V11I8.490

H. N. Hassan, M. S. Semary

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引用次数: 4

摘要

本文利用最优同伦分析方法(OHAM)对直线型翅片传热中出现的两个问题给出了精确的近似解。给出了这两个问题在不同参数值下的近似解，并对翅片效率进行了评价。此外，这两个问题是非线性对流辐射传导和幂律鳍型问题。得到的OHAM级数解与数值解(用Mathematica求解器)和精确解进行了比较。得到了残差的平方，验证了该方法的准确性。doi: 10.14456 / WJST.2014.87

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An Analytic Solution to a Parameterized Problems Arising in Heat Transfer Equations by Optimal Homotopy Analysis Method

In this paper, an accurate approximate solutions for 2 problems arising in heat transfer straight fins are presented using optimal homotopy analysis method (OHAM). The approximated solutions are obtained at different values of parameters for the 2 problems are illustrated, and the fin efficiency is also evaluated. Moreover, the 2 problems are of nonlinear convective-radiative conduction and power-law fin-type. The obtained series solutions of OHAM are compared with the numerical solution (using Mathematica solver) and exact solutions. The square residual error is obtained to verify the accuracy of the presented method. doi: 10.14456/WJST.2014.87

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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