| 周期压力梯度作用下管内上随体Maxwell流体不稳定流动的解析法 |
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| 引用本文： | 付强,韩式方. 周期压力梯度作用下管内上随体Maxwell流体不稳定流动的解析法[J]. 西南民族学院学报(自然科学版), 1998, 0(1) |
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| 作者姓名： | 付强 韩式方 |
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| 作者单位： | 西南民族学院物理系(付强)，中国科学院成都计算所(韩式方) |
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| 摘 要： | 研究了随体Ｍａｘｗｅｌ流体在水平圆管内的不稳定流动．该问题可归结为无量纲速度分量的二阶偏微分方程的初边值问题．采用改进的Ｋａｎｔｏｒｏｖｉｃｈ方法，将该偏微分方程化为各级近似的二阶常微分方程组，通过解常微分方程组获得在周期压力梯度作用下的一阶、二阶近似变分解析解．
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| 关 键 词： | 不稳定流，上随体Maxwell流体，改进的Kantorovich方法，非牛顿流体，本构方程 |
A Variational Analytical Approach to Unsteady Flow of Upper Convected Maxwell Fluid in Tube Under Cyclical Pressure |
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| Fu Qiang. A Variational Analytical Approach to Unsteady Flow of Upper Convected Maxwell Fluid in Tube Under Cyclical Pressure[J]. Journal of Southwest Nationalities College(Natural Science Edition), 1998, 0(1) |
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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 cylindrical pipe is studied with the variational approach developed.The unsteady problem is mathematically reduced to a partial differential second order equation.With the improved kantorovich variational approach,the partial differential equation can be reduced to a system of ordinary differential equations for different approximations.The ordinary differential equations are solved with two Methods.The results of the first approximation and second approximation are obtained. |
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| Keywords: | unsteady flow upper convected Maxwell fluid improved Kantorovich variational approach non Newton fluid |
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