Analytic Approximate Solution of Three-Dimensional Navier-Stokes Equations of Flow Between Two Stretchable Disks

被引：4
|
作者：
Dinarvand, Saeed [1 ]
Rashidi, Mohammad Mehdi [1 ]
Shahmohamadi, Hamed [1 ]
机构：
[1] Bu Ali Sina Univ, Fac Engn, Dept Mech Engn, Hamadan, Iran
来源：
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2010年 / 26卷 / 06期
关键词：
convergence; homotopy analysis method; stretchable disks; system of nonlinear ordinary differential equations; HOMOTOPY ANALYSIS METHOD; VARIATIONAL ITERATION METHOD; CONTINUOUS SOLID SURFACES; BOUNDARY-LAYER EQUATIONS; NON-NEWTONIAN FLUIDS; PERTURBATION METHOD; HEAT-TRANSFER; VISCOUS-FLOW; NONLINEAR PROBLEMS; 2ND-GRADE FLUID;
D O I：
10.1002/num.20514
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The similarity transform for the steady three-dimensional Navier-Stokes equations of flow between two stretchable disks gives a system of nonlinear ordinary differential equations which is analytically solved by applying a newly developed method, namely, the homotopy analysis method. The analytic solutions of the system of nonlinear ordinary differential equations are constructed in the series form. The convergence of the obtained series solutions is analyzed. The validity of our solutions is verified by the numerical results. (C) 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 26: 1594-1607, 2010
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页码：1594 / 1607
页数：14
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