Differential Transformation Method for Newtonian and non-Newtonian nanofluids flow analysis: Compared to numerical solution

Alexandria Engineering Journal

D. Jing¹  M. Hatami¹ 

[1] International Research Center for Renewable Energy, State Key Laboratory of Multiphase Flow in Power Engineering, Xi’an Jiaotong University, Xi’an 710049, China;

关键词: Coupled nonlinear differential equations;    Differential Transformation Method;    Natural convection;    Newtonian and non-Newtonian nanofluids;   

DOI  :  10.1016/j.aej.2016.01.003

来源: DOAJ

【 摘 要 】

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 on two different cases, natural convection of a non-Newtonian nanofluid between two vertical plates and Newtonian nanofluid flow between two horizontal plates, has been studied. DTM results are compared with those obtained by a numerical solution (Fourth-order Runge–Kutta) to show the accuracy of the proposed method. Results reveal that DTM is very effective and convenient which can achieve more reliable results compared to other analytical methods in solving some engineering and sciences problems.

【 授权许可】

Unknown