Using interpolation scaling functions based on Galerkin method for solving non-Newtonian fluid flow between two vertical flat plates

被引:31
|
作者
Seyedi, S. H. [1 ]
Saray, B. N. [2 ]
Nobari, M. R. H. [1 ]
机构
[1] Amirkabir Univ Technol, Dept Mech Engn, Tehran, Iran
[2] Univ Tabriz, Fac Math Sci, Tabriz, Iran
关键词
Interpolation scaling functions; Multi-resolution analysis; Natural convection; Non-Newtonian fluid; NATURAL-CONVECTION; NUMERICAL-SOLUTION; FINITE-DIFFERENCE; HEAT-TRANSFER; EQUATIONS;
D O I
10.1016/j.amc.2015.07.099
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, natural convection of non-Newtonian fluid flow between two infinite parallel vertical plates is studied using interpolation scaling functions based on the Galerkin method. To do so, the governing equations are reduced to a set of ordinary differential equations considering both pure and nano-fluid flow. For a highly accurate connection between functions and their derivatives, an operational matrix for the derivatives is established to reduce the problem to a set of algebraic equations. This new proposed method has the capability of multi-resolution solution with a higher accuracy comparing with other similar methods. (C) 2015 Elsevier Inc. All rights reserved.
引用
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页码:488 / 496
页数:9
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