An exact solution for flow past an accelerated horizontal plate in a rotating fluid with the generalized Oldroyd-B model

被引：11

作者：

Kang, Jianhong ^{[1
]}

Xu, Mingyu ^{[1
]}

机构：

[1] Shandong Univ, Inst Appl Math, Sch Math & Syst Sci, Jinan 250100, Peoples R China

来源：

ACTA MECHANICA SINICA | 2009年 / 25卷 / 04期

关键词：

Generalized Oldroyd-B model; Rotating fluid; Accelerated plate; Exact solution;

D O I：

10.1007/s10409-009-0243-9

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In this paper, the generalized Oldroyd-B with fractional calculus approach is used. An exact solution in terms of Fox-H function for flow past an accelerated horizontal plate in a rotating fluid is obtained by using discrete Laplace transform method. A comparison among the influence of various parameters in the Oldroyd-B model and the angular velocity of the fluid on the velocity profiles is made through numerical method in graphic form.

引用

页码：463 / 469

页数：7

共 18 条

[1]

[Anonymous], 1999, FRACTIONAL DIFFERENT

[2]

CHEN YH, 1985, ACTA MECH SINICA, V1, P19

[3] Flow past an accelerated horizontal plate in a rotating fluid [J].

Deka, RK ;

Gupta, AS ;

Takhar, HS ;

Soundalgekar, VM .

ACTA MECHANICA, 1999, 138 (1-2) :13-19

[4] FLUIDS OF DIFFERENTIAL TYPE - CRITICAL-REVIEW AND THERMODYNAMIC ANALYSIS [J].

DUNN, JE ;

RAJAGOPAL, KR .

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1995, 33 (05) :689-729

[5] A note on the flow induced by a constantly accelerating plate in an Oldroyd-B fluid [J].

Fetecau, C. ;

Prasad, Sharat C. ;

Rajagopal, K. R. .

APPLIED MATHEMATICAL MODELLING, 2007, 31 (04) :647-654

[6] Periodic unidirectional flows of a viscoelastic fluid with the fractional Maxwell model [J].

Hayat, T ;

Nadeem, S ;

Asghar, S .

APPLIED MATHEMATICS AND COMPUTATION, 2004, 151 (01) :153-161

[7] Exact solutions of flow problems of an Oldroyd-B fluid [J].

Hayat, T ;

Khan, M ;

Ayub, M .

APPLIED MATHEMATICS AND COMPUTATION, 2004, 151 (01) :105-119

[8] Slip effects on shearing flows in a porous medium [J].

Khan, M. ;

Hayat, T. ;

Wang, Y. .

ACTA MECHANICA SINICA, 2008, 24 (01) :51-59

[9] Flow of a generalized second-grade fluid between two side walls perpendicular to a plate with a fractional derivative model [J].

Khan, Masood ;

Wang, Shaowei .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (01) :203-208

[10] ON THE FORMULATION OF RHEOLOGICAL EQUATIONS OF STATE [J].

OLDROYD, JG .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1950, 200 (1063) :523-541

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