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| 一种广义牛顿流体的广义黏度模型 | |
| 引用本文： | 宋维宁,林祥,任冬云. 一种广义牛顿流体的广义黏度模型[J]. 中国塑料, 2009, 23(12): 26-30. DOI: 10.19491/j.issn.1001-9278.2009.12.006 |
| 作者姓名： | 宋维宁 林祥 任冬云 |
| 作者单位： | 北京化工大学塑料机械与塑料工程研究所60# 北京化工大学 |
| 摘 要： | 针对广义牛顿流体提出一种了具有普遍意义的广义黏度模型，该模型以应力张量和应变速率张量的不变量表示，并根据应变速率张量的第二、第三不变量相互独立性，使该模型不但满足黏度的惟一性，还符合剪切变稀及各种拉伸形态的黏度模型，并能够应用于既有剪切又有拉伸的一般复合流动。当模型用于简单稳态的剪切流动或稳态拉伸流动时，则得到各自的剪切黏度或拉伸黏度，并与目前定义的剪切黏度和拉伸黏度一致。因此，对广义牛顿流体所有形态的流动，该黏度模型都适用。 |
| 关 键 词： | 剪切与拉伸黏度 广义黏度 应力张量其第二 第三不变量 附加应力张量第二不变量 黏度的唯一性 |
| 收稿时间： | 2009-07-13 |
A generalized viscosity for generalized Newtonian fluids |
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| peter.lim W.N. Song. A generalized viscosity for generalized Newtonian fluids[J]. China Plastics, 2009, 23(12): 26-30. DOI: 10.19491/j.issn.1001-9278.2009.12.006 | |
| Authors: | peter.lim W.N. Song |
| Abstract: | A generalized viscosity model was proposed for generalized Newtonian fluids, which was expressed as a function of the invariants of stress and strain rate tensors. Assuming the independency of the second and third invariants of the rate of strain tensor, this model described well various shear and extensional as well as complex flows. When applied to steady-state simple or extensional flows, the obtained viscosities were agree with those traditionally defined. |
| Keywords: | shear and extensional viscosities generalized viscosity the independence of viscosity on the second and the third invariants of the rate of strain tensor (deformation) the second invariant of the extra-stress tensor and the uniqueness of viscosity. |
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