The impulsive motion of flat plate in a generalized second grade fluid

被引：123

作者：

Tan, WC ^{[1
]}

Xu, MY

机构：

[1] Peking Univ, Dept Mech & Engn Sci, Beijing 100871, Peoples R China

[2] Shandong Univ, Inst Math & Syst Sci, Jinan 250100, Peoples R China

来源：

MECHANICS RESEARCH COMMUNICATIONS | 2002年 / 29卷 / 01期

基金：

中国国家自然科学基金;

关键词：

generalized second grade fluid; fractional calculus; unsteady flow exact analytic solutions;

D O I：

10.1016/S0093-6413(02)00223-9

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The flow near a wall suddenly set in motion for a generalized second grade fluid is investigated. For the description of such a fluid, the fractional calculus approach in the constitutive relationship model is introduced. The velocity and stress fields of the flow are described by fractional partial differential equations. Exact analytic solutions of these differential equations are obtained by using the discrete Laplace transform of the sequential fractional derivatives. (C) 2002 Elsevier Science Ltd. All rights reserved.

引用

页码：3 / 9

页数：7

共 14 条

[1]

[Anonymous], J APPL MECH

[2] PLANE SURFACE SUDDENLY SET IN MOTION IN A NON-NEWTONIAN FLUID [J].

ERDOGAN, ME .

ACTA MECHANICA, 1995, 108 (1-4) :179-187

[3] The hydromagnetic flow of a dusty visco-elastic fluid between two infinite parallel plates [J].

Ghosh, NC ;

Ghosh, BC ;

Debnath, L .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2000, 39 (1-2) :103-116

[4] Wright functions as scale-invariant solutions of the diffusion-wave equation [J].

Gorenflo, R ;

Luchko, Y ;

Mainardi, F .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2000, 118 (1-2) :175-191

[5] Some simple flows of an Oldroyd-B fluid [J].

Hayat, T ;

Siddiqui, AM ;

Asghar, S .

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2001, 39 (02) :135-147

[6] Some unsteady unidirectional flows of a non-Newtonian fluid [J].

Hayat, T ;

Asghar, S ;

Siddiqui, AM .

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2000, 38 (03) :337-346

[7]

Hilfer R., 2000, Applications of Fractional Calculus in Physics, V35

[8] Boundary value problems for fractional diffusion equations [J].

Metzler, R ;

Klafter, J .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2000, 278 (1-2) :107-125

[9] Anomalous stability behavior of a properly invariant constitutive equation which generalises fractional derivative models [J].

Palade, LI ;

Attané, P ;

Huilgol, RR ;

Mena, B .

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1999, 37 (03) :315-329

[10]

PODLUBNY I, 1999, FRACTIONAL DIFFERENT, P146

← 1 2 →