Analytical thermal study on nonlinear fundamental heat transfer cases using a novel computational technique

Ghasemi, Seiyed E., Zolfagharian, Ali, Hatami, M. and Ganji, D.D. 2016, Analytical thermal study on nonlinear fundamental heat transfer cases using a novel computational technique, Applied thermal engineering, vol. 98, pp. 88-97, doi: 10.1016/j.applthermaleng.2015.11.120.

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Title Analytical thermal study on nonlinear fundamental heat transfer cases using a novel computational technique
Author(s) Ghasemi, Seiyed E.
Zolfagharian, Ali
Hatami, M.
Ganji, D.D.
Journal name Applied thermal engineering
Volume number 98
Start page 88
End page 97
Total pages 10
Publisher Elsevier
Place of publication Amsterdam, The Netherlands
Publication date 2016-04-05
ISSN 1359-4311
1873-5606
Keyword(s) analytical thermal study
Parameterized Perturbation Method (PPM)
nonlinear heat transfer equations
convective–radiative fin
Science & Technology
Physical Sciences
Technology
Thermodynamics
Energy & Fuels
Engineering, Mechanical
Mechanics
Engineering
Convective-radiative fin
HOMOTOPY-PERTURBATION METHOD
VARIATIONAL ITERATION METHOD
CONVECTIVE STRAIGHT FINS
DIFFERENT SECTION SHAPES
RADIATIVE POROUS FINS
ARTIFICIAL-INTELLIGENCE
TRANSFER EQUATIONS
NANOFLUID FLOW
MAGNETIC-FIELD
FLUID-FLOW
Summary In this paper a novel computational technique called Parameterized Perturbation Method (PPM) is used to obtain the solutions of nonlinear fundamental heat conduction equations. Three well known problems in the area of heat transfer are addressed to be solved. An analytical investigation is carried out for: (a) the temperature distribution in a fin with a temperature-dependent thermal conductivity, (b) the cooling of the lumped system with variable specific heat, and (c) the temperature distribution of a convective-radiative fin. The validity of the results of PPM solution was verified via comparison with numerical results obtained using a fourth order Runge-Kutta method. These comparisons revealed that PPM is a powerful approach for solving these problems. Also, the results showed that the main attributions of this method are very straightforward calculations and low computational burden compared to previous analytical and numerical approaches.
Language eng
DOI 10.1016/j.applthermaleng.2015.11.120
Field of Research 0913 Mechanical Engineering
0915 Interdisciplinary Engineering
Socio Economic Objective 970109 Expanding Knowledge in Engineering
HERDC Research category C1 Refereed article in a scholarly journal
ERA Research output type C Journal article
Copyright notice ©2015, Elsevier
Persistent URL http://hdl.handle.net/10536/DRO/DU:30085418

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