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Analytical thermal study on nonlinear fundamental heat transfer cases using a novel computational technique
journal contribution
posted on 2016-04-05, 00:00 authored by S E Ghasemi, Ali Zolfagharian, M Hatami, D D GanjiIn 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.
History
Journal
Applied thermal engineeringVolume
98Pagination
88 - 97Publisher
ElsevierLocation
Amsterdam, The NetherlandsPublisher DOI
ISSN
1359-4311eISSN
1873-5606Language
engPublication classification
C Journal article; C1 Refereed article in a scholarly journalCopyright notice
2015, ElsevierUsage metrics
Keywords
analytical thermal studyParameterized Perturbation Method (PPM)nonlinear heat transfer equationsconvective–radiative finScience & TechnologyPhysical SciencesTechnologyThermodynamicsEnergy & FuelsEngineering, MechanicalMechanicsEngineeringConvective-radiative finHOMOTOPY-PERTURBATION METHODVARIATIONAL ITERATION METHODDIFFERENT SECTION SHAPESRADIATIVE POROUS FINSNANOFLUID FLOWNATURAL-CONVECTIONMAGNETIC-FIELDFLUID-FLOWMOTIONCONDUCTIVITYMechanical Engineering
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