| Prandtl-Eyring本构方程的润滑解 |
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| 引用本文： | 陈大融.Prandtl-Eyring本构方程的润滑解[J].清华大学学报(自然科学版),1992(2). |
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| 作者姓名： | 陈大融 |
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| 作者单位： | 摩擦学国家重点实验室 |
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| 摘 要： | Ｐｒａｎｄｔｌ－Ｅｙｒｉｎｇ模型描述的是一种具有线弹性、非线性粘性的流体。使用一种适用于非牛顿介质的修正雷诺方程可以获得这种流体的润滑解。这个修正雷诺方程涉及三个非线性函数及松弛时间。文中用解微分方程获得剪应力函数的解；用时域至频域的转换获得差分粘度的解；用坐标变换获得第一正应力差函数的解；以及用摄动法求解流体小块运动方程获得松弛时间。
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| 关 键 词： | 润滑 Prandtl-Eyring模型 雷诺方程 |
The lubrication solution of Prandtl-Eyring constitutive equation |
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| Chen Darong.The lubrication solution of Prandtl-Eyring constitutive equation[J].Journal of Tsinghua University(Science and Technology),1992(2). |
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| Authors: | Chen Darong |
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| Institution: | National Tribology Laboratory |
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| Abstract: | Prandtl-Eyring model describes the fluid which has linear elasticity and nonlinear viscosity property. An universal form of Reynolds equation suited to non-Newtonian medium can be used to obtain the solution of such viscoelastic fluid. This modified Reynolds equation is concerned with three nonlinear functions and relaxtion time. In this paper, the relaxation time was obtained from kinematic equation of fluid particles by perturbation method, the solution of stress function was obtained by the solution of differential equation, the solution of differential viscosity by transformation from time to frequency domain and the solution of first normal stress difference function by coordinate transformation. |
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| Keywords: | lubricafion Prandtl-Eyring model Reynolds equation |
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