| 周期压力梯度下粘弹流体非定常流动的解析法研究 |
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| 引用本文： | 付强.周期压力梯度下粘弹流体非定常流动的解析法研究[J].西南民族学院学报(自然科学版),2004,30(6):732-737. |
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| 作者姓名： | 付强 |
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| 作者单位： | 西南民族大学物理系 成都 |
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| 基金项目： | 四川省青年科技基金项目(04ZQ026-017)，国家自然科学基金资助项目(19832050)，四川省重点高新项目(02GY029-019) |
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| 摘 要： | 用谱方法研究了粘弹流体管内非定常流动问题，该问题可归结为一个高阶非线性偏微分方程的求解问题．文章采用Chebyshev多项式的不同项数为基底的谱方法成功地将偏微分方程化为常微分方程组问题来处理．用Laplace变换法和本征值方法求解常微分方程组得到问题解析结果．
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| 关 键 词： | 谱方法 常微分方程组 Chebyshev多项式 非定常流动 偏微分方程 项数 本征值 题解 求解问题 周期 |
| 文章编号： | 1003-2843(2004)06-0732-06 |
| 修稿时间： | 2004年5月20日 |
A study of unsteady flow of viscoelastic fluid by ananlyticl method |
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| FU Qiang.A study of unsteady flow of viscoelastic fluid by ananlyticl method[J].Journal of Southwest Nationalities College(Natural Science Edition),2004,30(6):732-737. |
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| Authors: | FU Qiang |
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| Abstract: | In the present investigation the unsteady flow of upper-convected Maxwell fluid in a horizontal circular pipe is studied by the spectral method. The unsteady is mathematically reduced to a partial differential equation of second order. By using the spectral method the partial differential equation can be reduced to a system of ordinary differential equations for different terms of Chebyshev polynomials approximations. The ordinary differential equations are solved by the method of the Laplace transform and the eigenvalue method that lead to an analytical form of the solutions. |
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| Keywords: | spectral method unsteady flow Chebyshev polynomial |
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