Starting solutions for a viscoelastic fluid with fractional Burgers' model in an annular pipe

被引：40

作者：

Shah, S. Hyder Ali Muttaqi ^{[1
]}

Qi, Haitao ^{[2
]}

机构：

[1] Univ Sindh, Inst Math & Comp Sci, Jamshoro, Pakistan

[2] Shandong Univ, Sch Math & Stat, Weihai 264209, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2010年 / 11卷 / 01期

关键词：

Exact solutions; Burgers' fluid; Fractional calculus; Annular pipe; NON-NEWTONIAN FLUID; GENERALIZED 2ND-GRADE FLUID; 2 PARALLEL PLATES; MAXWELL MODEL; STABILITY ANALYSIS; UNSTEADY FLOWS;

D O I：

10.1016/j.nonrwa.2009.01.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we have discussed some simple flows of a viscoelastic fluid with fractional Burgers' model in an annular pipe. The fractional calculus approach is introduced in the constitutive relationship of a Burgers' fluid model. Exact analytical solutions are obtained by using Laplace and Weber transforms for two types of flows, namely: Poiseuille flow and Axial Couette flow. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：547 / 554

页数：8

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