Unsteady helical flows of a generalized Oldroyd-B fluid

被引：69

作者：

Tong, Dengke ^{[1
]}

Zhang, Xianmin ^{[1
]}

Zhang, Xinhong ^{[1
]}

机构：

[1] China Univ Petr, Sch Math & Computat Sci, Dongying 257061, Shandong, Peoples R China

来源：

JOURNAL OF NON-NEWTONIAN FLUID MECHANICS | 2009年 / 156卷 / 1-2期

关键词：

Fractional calculus; Generalized Oldroyd-B fluid; Exact solutions; Velocity fields; NON-NEWTONIAN FLUID; VISCOELASTIC FLUID; MODEL;

D O I：

10.1016/j.jnnfm.2008.07.004

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Helical flows for Oldroyd-B fluid are studied in concentric cylinders and a circular cylinder. The fractional calculus approach in the constitutive relationship model Oldroyd-B fluid is introduced and a generalized Jeffreys model with the fractional calculus has been built. Exact solutions of some unsteady helical flows of Oldroyd-B fluid in an annular pipe are obtained by using Hankel transform and Laplace transform for fractional calculus. For alpha = beta = 1, lambda(1) = 0, lambda(2) = 0 or lambda(1) = lambda(2) = 0 they reduce to the similar solutions for a Maxwell fluid, a second grade or Newtonian fluid, respectively. Numerical results for helical flow in pipe are presented. (c) 2008 Elsevier B.V. All rights reserved.

引用

页码：75 / 83

页数：9

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