Johnson-Segalman流体剪切流动的相平面分析与数值模拟  

Phase-plane Analysis and Numerical Scheme of Shear Flow of Johnson-Segalman Fluid

作　　者：李松涛[1] 黄明游[1] 安立佳[2] 

机构地区：[1]吉林大学数学科学学院,长春130012 [2]中国科学院长春应用化学研究所,长春130022

出　　处：《吉林大学学报（理学版）》2002年第4期345-349,共5页Journal of Jilin University:Science Edition

摘　　要：研究Johnson-Segalman流体的剪切流动行为.首先分析该模型的定常解,从稳定的总剪切应力曲线上可见,当稳定总剪切应力T取值足够大或足够小时,方程有惟一定常解;当T取中间值时,方程定常解不惟一.最后,采用向后差分格式对该模型进行数值模拟.The present paper deals with the shear flow of JohnsonSegalman fluid. On the basis of the analysis of the steady state solutions, it is obtained that a steadystate solution of JS model corresponds to a point on the steady total stress curve at which the total stress is (x). When  is sufficiently small or sufficiently large, there is a single steady state solution, while there are three steady state solutions when  is intermediate in value. The steady state solution is judged to be stable or unstable in phase plane in this paper. At last, a new numerical scheme is devised by using backward finite difference method to solve JS model.

关 键 词：相平面分析 数值模拟 Johnson-Segalman流体 剪切流动 稳定性 差分法 非线性牛顿流 

分 类 号：O373[理学—流体力学]