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Research Article

Solution of model equation of completely passive natural convection by improved differential transform method 

Mustafa Ekici*1, Fatma Ayaz2

1Faculty of Education, Usak University, Usak, Turkey
2Department of Mathematics, Gazi University, Ankara, Turkey

Keywords

Abstract

Differential transform method,

Natural convection, 

Least square method,

Improved differential transform method


In this paper we investigate the natural convection which exists under the Boussinesq approximation and completely passive boundary conditions. This phenomenon is applicable to the cooling of a heated body and heating and cooling of rooms and buildings and etc. The model equations of momentum and energy are solved by using improved differential transform method. This method is an iterative way for obtaining Taylor series coefficients. The convergence of the Taylor series is obtained by combining the method with the Least Square method for the problem first time here. The combination of these two powerful methods yields semi analytical solutions in the form of a polynomial through a straightforward manner. The efficiency and applicability of the algorithm are assessed and tested and error calculations have been presented.

 © 2016 MIM Research Group. All rights reserved.

DOI: http://dx.doi.org/10.17515/resm2015.10me0818                          Full Text

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07/01/2019 Collaboration for IMSMATEC 2019: Editorial Board of our journal and Organizing Committee of The International Conference on Materials Science, Mechanical and Automotive Engineerings and Technology (IMSMATEC 2019) have agreed to collaborate. Extended versions of the selected papers from the conference will be published in our journal. For more see Events.


25/12/2018 Collaboration for iSTE-CE'2019: Editorial Board of our journal and Organizing Committee of International Conference on Innovation, Sustainability, Technology and Education in Civil Engineering (iSTE-CE'2019) have agreed to collaborate. Extended versions of the selected papers from the conference will be published in our journal. For more see Events.


23/12/2018 2018 Most Cited Paper Award: The paper authored by Jouni Freud and Alp Karakoç entitled as “Shear and torsion correction factors of Timoshenko beam model for generic cross sections" is awarded the 2018 Most Cited Paper Award of Research on Engineering Structures and Materials (RESM). We congratulate the authors and wish them a continued success.


23/12/2018 2018 Best Paper Award: The paper authored by Nelson C. Batista, Rui Melicio and Victor M. F. Mendes entitled as “Darrieus vertical axis wind turbines: methodology to study the self start capabilities considering symmetric and asymmetric air foils” is awarded the 2018 Best Paper Award of Research on Engineering Structures and Materials (RESM). We congratulate the authors and wish them a continued success.


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Last Update:

23.04.2019

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