Semnan University of Medical Sciences

Research and Technology Vice Chancellor

Hatami, M. and Hatami, J. and Jafaryar, M. and Domairry, G. (2016) Differential transformation method for Newtonian and Non-Newtonian fluids flow analysis: comparison with HPM and numerical solution. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 38 (2). pp. 589-599. ISSN 1678-5878

[img] PDF
Download (1444Kb)

    Abstract

    In this study, a simple and high accurate series-based method called differential transformation method (DTM) is used for solving the coupled nonlinear differential equations in fluids’ mechanic problems. The concept of the DTM is briefly introduced, and its application for two different cases, natural convection of a non-Newtonian fluid between two vertical plates and Newtonian fluid flow between two horizontal plates, has been studied. DTM results are compared with those obtained by another series-based analytical technique namely homotopy perturbation method (HPM) and a numerical solution (Fourth-order Runge–Kutta) to show the accuracy of the proposed method. Results reveal that DTM is very effective and convenient and can achieve more suitable results compared to HPM in some areas of equations in engineering and science problems.

    Item Type: Article
    Subjects: R Medicine > R Medicine (General)
    Divisions: Faculty of Medical Sciences > School of Medicine
    Depositing User: Admin User
    Date Deposited: 06 Sep 2016 12:12
    Last Modified: 06 Sep 2016 12:12
    URI: http://eprints.semums.ac.ir/id/eprint/98

    Actions (login required)

    View Item