Decay of a potential vortex in an Oldroyd-B fluid

被引：79
作者：
Fetecau, C [1 ]
Fetecau, C [1 ]
机构：
[1] Tech Univ Iasi, Dept Math, R-6600 Iasi, Romania
[2] Tech Univ Iasi, Dept Theoret Math, R-6600 Iasi, Romania
来源：
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE | 2005年 / 43卷 / 3-4期
关键词：
potential vortex; Oldroyd fluid; velocity field; tangential tension; limiting cases;
D O I：
10.1016/j.ijengsci.2004.08.013
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Analytical expressions for the velocity field and the associated tangential tension corresponding to a potential vortex in an Oldroyd-B fluid are determined by means of the Hankel transform. The well-known solutions for a Navier-Stokes fluid as well as those corresponding to a Maxwell fluid and a second grade one, appear as limiting cases of our solutions. Finally, some comparative diagrams are presented for the circular motion of the glycerine. In each case, the velocity fields as well as the adequate tangential tensions are going to zero for t or r -> infinity. Consequently, the potential vortex. is damping in time and space. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码：340 / 351
页数：12
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