Доступ предоставлен для: Guest
Портал Begell Электронная Бибилиотека e-Книги Журналы Справочники и Сборники статей Коллекции
Heat Transfer Research
Импакт фактор: 1.199 5-летний Импакт фактор: 1.155 SJR: 0.267 SNIP: 0.503 CiteScore™: 1.4

ISSN Печать: 1064-2285
ISSN Онлайн: 2162-6561

Выпуски:
Том 51, 2020 Том 50, 2019 Том 49, 2018 Том 48, 2017 Том 47, 2016 Том 46, 2015 Том 45, 2014 Том 44, 2013 Том 43, 2012 Том 42, 2011 Том 41, 2010 Том 40, 2009 Том 39, 2008 Том 38, 2007 Том 37, 2006 Том 36, 2005 Том 35, 2004 Том 34, 2003 Том 33, 2002 Том 32, 2001 Том 31, 2000 Том 30, 1999 Том 29, 1998 Том 28, 1997

Heat Transfer Research

DOI: 10.1615/HeatTransRes.v40.i8.70
pages 821-834

The Application of the Adomian Decomposition Method to Nonlinear Equations Arising in Heat Transfer and Boundary Layer

Davood Ganji (D.D. Ganji)
Babol University
http://sciencewatch.com/dr/ne/08decne
H. Nateghi
Department of Mechanical and Electrical Engineering, Babol University of Technology, PO Box 484, Babol 47144, Iran
M. Abaspour
Department of Mechanical and Electrical Engineering, Babol University of Technology, PO Box 484, Babol 47144, Iran
O. Rasouli
Department of Mechanical and Electrical Engineering, Babol University of Technology, PO Box 484, Babol 47144, Iran

Краткое описание

Many researchers have been interested in application of mathematical methods to find analytical solutions of nonlinear equations and, for this purpose, new methods have been developed. Since most of temperature distribution problems are strongly nonlinear due to heat transfer and a boundary layer, an analytical solution of them is confronted with some difficulty. In this paper, some nonlinear second-order equations are studied by the Adomian decomposition method. After introducing the Adomian decomposition method and the way of obtaining the Adomian polynomial, we solved the nonlinear heat conduction and convection equations. Finally, the problems are depicted at various iterations and comparing our results with the numerical solutions illustrated their excellent accuracy.


Articles with similar content:

NUCLEAR FUEL CELLS WITH VARIABLES SOURCES
International Heat Transfer Conference 13, Vol.0, 2006, issue
Marcelo Ferreira Pelegrini, Cássio Roberto Macedo Maia, Ricardo Alan Verdu Ramos, Thiago Antonini Alves
NUMERICAL SOLUTION OF HEAT CONDUCTION PROBLEMS BY MEANS OF A MESHLESS METHOD WITH PROPER POINT DISTRIBUTIONS
ICHMT DIGITAL LIBRARY ONLINE, Vol.0, 2017, issue
Riccardo Zamolo, Enrico Nobile
INVERSE ANALYSIS TO OBTAIN THE PRESSURE-DEPENDENT PERMEABILITY OF MICRO/NANO POROUS MATERIALS
Heat Transfer Research, Vol.51, 2020, issue 16
Lei-Lei Liu, Xin-Lin Xia, Feng-Xian Sun
SOLUTIONS FOR COUNTERCURRENT SPONTANEOUS IMBIBITION AS DERIVED BY MEANS OF A SIMILARITY APPROACH
Journal of Porous Media, Vol.18, 2015, issue 2
Geoffrey Mason, Rasoul Arabjamaloei, Douglas W. Ruth, Norman R. Morrow
OUR RECENT WORKS ON THE COLLOCATION SPECTRAL METHOD FOR THERMAL RADIATION IN PARTICIPATING MEDIA
ICHMT DIGITAL LIBRARY ONLINE, Vol.0, 2012, issue
Hang-Mao Hu , Ben-Wen Li, Shuai Tian , Jing Ma, Yasong Sun