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.
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页码：547 / 554
页数：8
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