Exact solutions for the flow of an Oldroyd-B fluid due to an infinite flat plate

被引：18
|
作者：
Vieru, D. [2 ]
Fetecau, Corina [2 ]
Fetecau, C. [1 ]
机构：
[1] Tech Univ Iasi, Dept Math, R-6600 Iasi, Romania
[2] Tech Univ Iasi, Dept Theoret Mech, R-6600 Iasi, Romania
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2008年 / 59卷 / 05期
关键词：
Infinite plate; velocity field; tangential stress; exact solutions; Oldroyd-B fluid;
D O I：
10.1007/s00033-007-6133-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The unsteady flow of an Oldroyd-B fluid due to an infinite flat plate, subject to a translation motion of linear time-dependent velocity in its plane, is studied by means of the Laplace transform. The velocity field and the associated tangential stress corresponding to the flow induced by the constantly accelerating plate as well as those produced by the impulsive motion of the plate are obtained as special cases. The solutions that have been determined, in all accordance with the solutions established using the Fourier transform, reduce to those for a Newtonian fluid as a limiting case. The similar solutions for a Maxwell fluid are also obtained.
引用
收藏
页码：834 / 847
页数：14
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