Series solutions of annular axisymmetric stagnation flow and heat transfer on moving cylinder

被引：4
|
作者：
Mastroberardino, A. [1 ]
机构：
[1] Penn State Univ, Behrend Coll, Sch Sci, Penn State Erie, Erie, PA 16563 USA
来源：
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2013年 / 34卷 / 09期
关键词：
stagnation flow; heat transfer; moving cylinder; boundary value problem; homotopy analysis method (HAM); HOMOTOPY ANALYSIS METHOD; CIRCULAR-CYLINDER; EQUATIONS;
D O I：
10.1007/s10483-013-1726-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The steady, laminar, incompressible flow and heat transfer of a viscous fluid between two circular cylinders for two different types of thermal boundary conditions are investigated. The governing Navier-Stokes and thermal equations of the flow are reduced to a nonlinear system of ordinary differential equations. The equations are solved analytically using the homotopy analysis method (HAM). Convergence of the HAM solutions is discussed in detail. These solutions are then compared with recently obtained numerical and perturbative solutions. Plots of the velocity and temperature profiles are provided for various values of the relevant parameters.
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页码：1043 / 1054
页数：12
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