半无限介质瞬态热传导的同伦分析法

A·利扎尼亚; A·戈巴利; G·多麦利; H·巴拉尼亚

半无限介质瞬态热传导的同伦分析法

巴博尔工业大学机械工程系,巴博尔,伊朗

详细信息

中图分类号: TG113.22+3;O154.2
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出版历程
- 收稿日期: 2007-03-07
- 修回日期: 2008-11-15
- 刊出日期: 2008-12-15

Consideration of Transient Heat Conduction in a Semi-Infinite Medium Using Homotopy Analysis Method

Department of Mechanical Engineering, Babol Industrial University, P. O. Box 484, Babol, Iran

摘要

摘要: 应用同伦分析法（HAM）求解半无限介质瞬态热传导问题，该问题在不同的热场中有着广泛的应用．将得到的分析结果与精确解和积分法结果进行比较．比较表明，和其它近似方法相比，HAM能够提供更好的近似值．得到了铜、铁和铝在不同时间热流量的变化和温度的分布．
- 同伦分析法 /
- 半无限介质 /
- 传导 /
- 瞬态热传递 /
- 积分法 /
- 温度分布
Abstract: Transient heat conduction in a semi-infinite medium was considered for its many applications in various heat fields.Here,homotopy analysis method(HAM) was applied to solve this problem and analytical results were compared with those of exact and integral methods results.The results show that HAM can give much better approximations than the other approx imate methods.Change of heat fluxes and profiles of temperature are obtained in different times and positions for copper,iron and aluminum.
- homotopy analysis method /
- semi-infinite medium /
- conduction /
- transient heat transfer /
- integral methods /
- temperature profile

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参考文献(20)

[1]	Incropera F P, Dewitt D P. Introduction to Heat Transfer[M].New York:John Wiley & Sons, 1985.
[2]	Khaled A-R A.Conduction heat and entropy transfer in a semi-infinite medium and wall with a combined periodic heat flux and convective boundary condition[J].International Journal of Thermal Sciences, 2008,47(1): 76-83. doi: 10.1016/j.ijthermalsci.2007.01.011
[3]	FANG Tie-gang.Similarity solution for heat conduction in a semi-infinite medium with power law thermal conductivity[J].Internat Commun Heat Mass Transfer,2004, 31(4):477-485. doi: 10.1016/S0735-1933(04)00029-6
[4]	Antaki P J. Solution for non-Fourier dual phase lag heat conduction in a semi-infinite slab with surface heat flux[J].Internat Commun Heat Mass Transfer,1998,14(41):2253-2258.
[5]	Hussain A K, Hussain T A, Shahad Haroun A K.A thermodynamic analysis of non-equilibrium heat conduction in a semi-infinite medium subjected to a step change in temperature[J].Energy Conversion and Management,2003, 44(8):1373-1386. doi: 10.1016/S0196-8904(02)00120-6
[6]	Liao S J. Beyond Perturbation:Introduction to the Homotopy Analysis Method[M].Boca Raton:Chapman & Hall/CRC Press, 2003.
[7]	Liao S. A new branch of solutions of boundary-layer flows over an impermeable stretched plate[J].Internat J Heat Mass Transfer,2005,48(12):2529-2539. doi: 10.1016/j.ijheatmasstransfer.2005.01.005
[8]	Liao S. Series solutions of unsteady boundary-layer flows over a stretching flat plate[J].Stud Appl Math, 2006,117:239-264. doi: 10.1111/j.1467-9590.2006.00354.x
[9]	Hayat T, Khan M, Ayub M. On the explicit analytic solutions of an old royd 6-constant fluid[J].Internat J Eng Sci, 2004,42(2):123-135. doi: 10.1016/S0020-7225(03)00281-7
[10]	Hayat T, Khan M, Ayub M. Couett and Poiseuille flows of an old royd 6-constant fluid with magnetic field[J].J Math Anal Appl,2004,298(1):225-244. doi: 10.1016/j.jmaa.2004.05.011
[11]	Khan T-Hayat M, Asghar S. Homotopy analysis MHD flows of an old royd 8-constant fluid[J].Acta Mech,2004,168(1):213-232. doi: 10.1007/s00707-004-0085-2
[12]	Khan T-Hayat M. Homotopy solutions for generalized second-grade fluid past porous plate[J].Nonlinear Dyn,2005,42:395-405. doi: 10.1007/s11071-005-7346-z
[13]	Mehmood Ahmer,Ali Asif. Analytic solution of generalized three-dimensional flow and heat transfer over a stretching plane wall[J].Internat Commun Heat Mass Transfer, 2006, 33(10):1243-1252. doi: 10.1016/j.icheatmasstransfer.2006.08.001
[14]	Abbasbandy S.The application of homotopy analysis method to nonlinear equations arising in heat transfer[J].Phys, Lett A, 2006,360(1):109-113. doi: 10.1016/j.physleta.2006.07.065
[15]	Fakhari A,Domairry G.Ebrahimpour，approximate explicit solutions of nonlinear BBMB equations by homotopy analysis method and comparison with the exact solution[J].Phys Lett A,2007,368(1/2):64-68. doi: 10.1016/j.physleta.2007.03.062
[16]	Domairry G,Nadim N. Assessment of homotopy analysis method and homotopy perturbation method in non-linear heat transfer equation[J]. Internat Commun Heat Mass Transfer,2008,35(1)：93-102. doi: 10.1016/j.icheatmasstransfer.2007.06.007
[17]	Domairry G, Mohsenzadeh A,Famouri M. The application of homotopy analysis method to solve nonlinear differential equation governing Jeffery-Hamel flow[J].Communications in Nonlinear Science and Numerical Simulation，2009，14（1）：85-95. doi: 10.1016/j.cnsns.2007.07.009
[18]	Ghotbi Abdoul R,Bararnia H,Domairry G,et al.Investigation of a powerful analytical method into natural convection boundary layer flow[J].Commun Nonlinear Sci Numer Simulat(in press).Available online 17 August 2008.DOI: 10.1016/j.cnsns.2008.08.006
[19]	Rashidi M M, Domairry G, Dinarvand S. Approximate solutions for the Burger and regularized long wave equations by means of the homotopy analysis method[J].Communications in Nonlinear Science and Numerical Simulation, Available online 179 October 2007;2009，14（3）：708-717.
[20]	Domairry G, Fazeli M. Homotopy analysis method to determine the fin efficiency of convective straight fins with temperature-dependent thermal conductivity[J].Communications in Nonlinear Science and Numerical Simulation, Available online 29 September 2007; 2009，14（2）：489-499.