Generalized Lorenz Equation Derived from Thermal Convection of Viscoelastic Fluids in a Loop

• 作者: 朱克勤 杨帆
• 来源期刊: 中国物理快报(英文版)
• 学科: 数学
• 关键词: Lorenz方程 粘弹性流体 热对流 循环圈 广义 Lorenz系统 周期解 开发
• 年，卷（期）: 2010,（3）
• 页码范围: 196-199
• 页数: 4页
• 分类号: O175.12 O357
• 语种: 英文

摘要

A new generalized Lorenz system is presented based on the thermal convection of Oldroyd-B fluids in a circular loop. Two non-dimensional parameters De1 (a measure of the fluid relaxation) and De2 (a measure of the fluid retardation) appear in the equation. Then we study this generalized Lorenz equation numerically and find that the values of De1 and De2 can greatly influence the behavior of the solution. The fluid relaxation De1 is found to precipitate the onset of periodic solution (limit cycle) in the system and impedes the onset of chaos while the fluid retardation (De2) tends to delay the onset of the periodic solution and precipitate the onset of chaos in the system.