| 微分求积法求解不可压二阶粘弹性流体和热迁移模型中的稳态流动 |
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| 引用本文： | A.S.J.AL-SAIF,朱正佑.微分求积法求解不可压二阶粘弹性流体和热迁移模型中的稳态流动[J].上海大学学报(英文版),2005,9(4):298-305. |
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| 作者姓名： | A.S.J.AL-SAIF 朱正佑 |
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| 作者单位： | [1]Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P.R. China [2]Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200444, P.R. China |
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| 摘 要： | 1IntroductionAlthoughthe computation of the fluid mechanics hasgreat development during the last decades,due to themodel in nonlinear fluid mechanics is very complicat-ed,the more efficient techniques for solvingthis prob-lemstill attract the interest of many researchers.Thedifferential quadrature method(DQM)introduced byBell man,et al.1,2]is an efficient numerical methodfor solving partial differential equations.In recentyears,the DQMhas been widely used for solving theproblems of enginee…
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| 关 键 词： | 热传递模型 微分求积 稳定流程 黏弹性 温度方程 |
| 文章编号： | 1007-6417（2005）04-0298-08 |
| 收稿时间： | 2004-03-17 |
| 修稿时间： | 2004-04-21 |
Differential quadrature method for steady flow of an incompressible second-order viscoelastic fluid and heat transfer model |
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| A. S. J. Al-Saif,Zhu Zheng-you.Differential quadrature method for steady flow of an incompressible second-order viscoelastic fluid and heat transfer model[J].Journal of Shanghai University(English Edition),2005,9(4):298-305. |
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| Authors: | A S J Al-Saif Zhu Zheng-you |
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| Institution: | 1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P.R. China
2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P.R. China;Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200444, P.R. China |
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| Abstract: | The two-dimensional steady flow of an incompressible second-order viscoelastic fluid between two parallel plates was studied in terms of vorticity, the stream function and temperature equations. The governing equations were expanded with respect to a snmll parameter to get the zeroth- and first-order approximate equations. By using the differenl2al quadrature method with only a few grid points, the high-accurate numerical results were obtained. |
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| Keywords: | differential quadrature method(DQM) second-order viscoelastic fluid steady flow heat transfer |
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