Helical flow of an Oldroyd-B fluid due to a circular cylinder subject to time-dependent shear stresses

被引：32
|
作者：
Fetecau, Corina [1 ]
Imran, M. [2 ]
Fetecau, C. [3 ]
Burdujan, I. [4 ]
机构：
[1] Tech Univ Iasi, Dept Theoret Mech, Iasi 700050, Romania
[2] Govt Coll Univ, Abdus Salam Sch Math Sci, Lahore, Pakistan
[3] Tech Univ Iasi, Dept Math, Iasi 700050, Romania
[4] Univ Agr Sci & Vet Med Iasi, Dept Math, Iasi 700490, Romania
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2010年 / 61卷 / 05期
关键词：
Helical flow; Oldroyd-B fluid; Time-dependent shear stresses; NON-NEWTONIAN FLUID; VISCOUS-LIQUID; ANNULAR PIPE; DOMAINS;
D O I：
10.1007/s00033-009-0038-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Exact solutions corresponding to the unsteady helical flow of an Oldroyd-B fluid due to an infinite circular cylinder subject to torsional and longitudinal time-dependent shear stresses are established using Hankel transforms. These solutions, presented under series form in terms of Bessel functions J(0)(.), J(1)(.) and J(2)(.), can be easily specialized to give the similar solutions for Maxwell, Second grade and Newtonian fluids performing the same motion. Some characteristics of the motion, as well as the influence of pertinent parameters on the velocity profiles, are underlined by graphical illustrations.
引用
收藏
页码：959 / 969
页数：11
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