| JS流体稳态模型的多解结构和数值模拟 |
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| 引用本文： | 张旭利,杨树华,李松涛,陈海波.JS流体稳态模型的多解结构和数值模拟[J].长春理工大学学报,2009,32(3):521-524. |
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| 作者姓名： | 张旭利 杨树华 李松涛 陈海波 |
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| 作者单位： | 张旭利,杨树华,李松涛(吉林大学,数学学院,长春,130012);陈海波(吉林省教育学院,长春,130022) |
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| 摘 要： | Johnson-Segaiman(JS)模型的定常解(又称稳态解)代表流体的稳态流动.本文首先讨论稳态模型的多解结构和定常解的准确表达公式,给出了判定JS模型存在三个不同定常解在(ε,T)参数平面上的充分必要条件.其次,采用Crank-Nicolson格式对JS模型进行数值模拟.
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| 关 键 词： | 稳态解 Johnson-Segalman流体 差分法 |
The Structure of Solutions and Numerical Simulation of Steady State Model of JS Fluid |
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| ZHANG Xuli,YANG Shuhua,LI Songtao,CHEN Haibo.The Structure of Solutions and Numerical Simulation of Steady State Model of JS Fluid[J].Journal of Changchun University of Science and Technology,2009,32(3):521-524. |
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| Authors: | ZHANG Xuli YANG Shuhua LI Songtao CHEN Haibo |
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| Affiliation: | ZHANG Xuli1,YANG Shuhua1,LI Songtao1,CHEN Haibo2(1.College of Mathematics,Jilin University,Changchun 130012,2.Jilin Provincial Institute of Education,Changchun 130022) |
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| Abstract: | Steady solutions of Johnson-Segalman(JS) model present the steady state flow of the fluid.In this paper,the structure of solutions of steady state model is discussed and the accurate formula of steady solutions of JS model is given.Moreover,a condition is given which is necessary and sufficient for three distinct steady solutions in planar(,)to ex-ist.The JS model is simulated by using Crank-Nicolson finite difference method. |
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| Keywords: | steady solutions Johnson-Segalman fluid difference method |
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