| 分数阶广义二阶流体管内轴向流动的精确解 |
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| 引用本文： | 金辉,徐明瑜. 分数阶广义二阶流体管内轴向流动的精确解[J]. 山东大学学报(理学版), 2003, 38(1): 23-27 |
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| 作者姓名： | 金辉 徐明瑜 |
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| 作者单位： | 山东大学,数学与系统科学学院,济南,250100 |
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| 基金项目： | 教育部博士点专项科研基金资助项目，国家自然科学基金 (10 2 72 0 67) |
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| 摘 要： | 研究了分数阶广义二阶流体的管内轴向流动问题 .在欧氏测度下 ,应用R L分数阶微积分算子理论给出了上述问题的精确解 .同时也指出了已有文献结果的错误和不足之处 .结果表明 ,流体粘弹性特征越明显 ,其速度剖面及应力分布对分数阶导数的阶数依赖性越强
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| 关 键 词： | 广义二阶流体 轴向流动 分数阶微积分 广义M-L函数 |
| 文章编号： | 1671-9352(2003)01-0023-05 |
| 修稿时间： | 2001-12-18 |
Exact Solutions of Fractional Second Order Fluid Flow in a Pipe |
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| Abstract: | The axial flow in a pipe of the fractional generalized second order fluid is studied. Under the Euclidean measure, the analytical solutions to the above problem are obtained by employing the Riemann Liouville fractional calculus theory. And some mistakes or insufficiency in the past papers are pointed out. It is proved that the more obvious the viscoelastic properties of fluid is, the more sensitive the dependence of velocity and stress on fractional derivative order is. |
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| Keywords: | generalized second order fluid axial flow fractional calculus generalized M L function |
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