上海大学学报(自然科学版) ›› 2009, Vol. 15 ›› Issue (3): 296-300.

• 数理化科学 • 上一篇    下一篇

应力偶流体的D’Alembert流动

冯素晓1 张道祥1 2 卢志明1 刘宇陆1   

  1. 1.上海大学 上海市应用数学和力学研究所,上海 200072; 2.安徽师范大学 数学与计算机科学学院,安徽 芜湖 241000
  • 出版日期:2009-06-30 发布日期:2009-06-30
  • 通讯作者: 刘宇陆(1959~),男,教授,博士生导师,博士,研究方向为湍流、环境流体力学.Email:ylliu@shu.edu.cn
  • 基金资助:
    国家自然科学基金资助项目(10472063)

D’Alembert Motions for Couple Stress Fluids

FENG Su-Xiao-1, ZHANG Dao-Xiang-1, 2, LEI Zhi-Meng-1, LIU Yu-Liu-1   

  1. 1.Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China; 2.College of Mathematics and Computer Science, Anhui Normal University, Wuhu 241000, Anhui, China
  • Online:2009-06-30 Published:2009-06-30

摘要:

通过假定流体运动的流函数为时间函数和空间函数的乘积,即流体运动为D’Alembert流动,运用逆解方法求得应力偶流体流动的定常和非定常精确解.所得精确解有助于认识和理解非牛顿流体的流动特性, 同时也可以为实验、数值以及渐近解提供检验依据.

关键词: 应力偶流体;D’Alembert流动;逆解方法;非牛顿流体

Abstract:

In this paper, some steady and unsteady solutions of D’Alembert motions for couple stress fluids have been abtained, by assuming that the stream function is a product of a function of space coordinate and a function of time.These exact solutions are helpful to understand the flow properties of couple stress fluids and can be served as accuracy checks for experimental, numerical and asymptotic methods.

Key words: couple stress fluid; D’Alembert motions; inverse method; non-Newtonian fluid

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