| 广义Maxwell黏弹性流体在两平板间的非定常流动 |
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| 引用本文： | 潘文潇,谭文长.广义Maxwell黏弹性流体在两平板间的非定常流动[J].力学与实践,2003,25(1):19-22. |
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| 作者姓名： | 潘文潇 谭文长 |
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| 作者单位： | 北京大学力学与工程科学系,北京,100871 |
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| 基金项目： | 国家自然科学基金项目(10002003)，高等学校骨干教师资助计划项目资助. |
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| 摘 要： | 将分数阶微积分运算引入Maxwell黏弹性流体的本构方程，研究了黏弹性流体在两平板问的非定常流动．对于广义Maxwell黏弹性流体的分数阶导数模型，导出了对时间具有分数阶导数的特殊运动方程，利用分数阶微积分的Laplace变换理论，得到了流动的解析解．
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| 关 键 词： | 非定常流动 平板 分数阶Maxwell模型 Laplace变换 黏弹性流体 |
| 修稿时间： | 2001年4月16日 |
AN UNSTEADY FLOW OF A VISCOELASTIC FLUID WITH THE FRACTIONAL MAXWELL MODEL BETWEEN TWO PARALLEL PLATES |
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| PAN Wenxiao TAN Wenchang.AN UNSTEADY FLOW OF A VISCOELASTIC FLUID WITH THE FRACTIONAL MAXWELL MODEL BETWEEN TWO PARALLEL PLATES[J].Mechanics and Engineering,2003,25(1):19-22. |
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| Authors: | PAN Wenxiao TAN Wenchang |
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| Abstract: | The fractional calculus is used in the constitutive equation of Maxwell viscoelastic fluid. An unsteady flow of viscoelastic fluid between two parallel plates is studied. For a fractional derivative model of the generalized Maxwell viscoelastic fluid, the special equation of motion with fractional-order time derivatives is obtained. Additionally, the exact solution of the flow is obtained by using the theory of Laplace transform for fractional calculus. |
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| Keywords: | viscoelastic fluid unsteady flow parallel plate fractional Maxwell model |
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