General periodic flows of fractional Oldroyd-B fluid for an edge

被引：45
|
作者：
Nadeem, S. [1 ]
机构：
[1] Quaid I Azam Univ, Dept Math, Islamabad 45320, Pakistan
来源：
PHYSICS LETTERS A | 2007年 / 368卷 / 3-4期
关键词：
oldroyd-B fluid; fractional derivatives; general periodic oscillations; Fourier transform; Fourier sine transform; exact solutions;
D O I：
10.1016/j.physleta.2007.04.032
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The velocity field corresponding to an incompressible fluid of fractional Oldroyd-B fluid subject to general periodic oscillations within an infinite edge are determined for all values of relaxation and retardation times. Based on the flow condition, the problem is solved by Fourier transform and Fourier sine transform and an exact solutions are obtained. (c) 2007 Elsevier B.V All rights reserved.
引用
收藏
页码：181 / 187
页数：7
相关论文
共 50 条
  • [1] Translational flows of an Oldroyd-B fluid with fractional derivatives
    Jamil, M.
    Khan, N. A.
    Zafar, A. A.
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (03) : 1540 - 1553
  • [2] STAGNATION FLOWS FOR THE OLDROYD-B FLUID
    PHANTHIEN, N
    RHEOLOGICA ACTA, 1984, 23 (02) : 172 - 176
  • [3] MHD flows of an Oldroyd-B fluid
    Hayat, T
    Hutter, K
    Asghar, S
    Siddiqui, AM
    MATHEMATICAL AND COMPUTER MODELLING, 2002, 36 (9-10) : 987 - 995
  • [4] THE MHD FLOWS FOR A HEATED GENERALIZED OLDROYD-B FLUID WITH FRACTIONAL DERIVATIVE
    Liu, Yaqing
    Zheng, Liancun
    Zhang, Xinxin
    Zong, Fenglei
    PROCEEDINGS OF THE ASME INTERNATIONAL HEAT TRANSFER CONFERENCE - 2010, VOL 2: CONDENSATION, CONVECTION, MELTING AND SOLIDIFICATION, 2010, : 383 - 386
  • [5] Unsteady helical flows of a generalized Oldroyd-B fluid with fractional derivative
    Qi, Haitao
    Jin, Hui
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (05) : 2700 - 2708
  • [6] Some simple flows of an Oldroyd-B fluid
    Hayat, T
    Siddiqui, AM
    Asghar, S
    INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2001, 39 (02) : 135 - 147
  • [7] Some unsteady unidirectional flows of a generalized Oldroyd-B fluid with fractional derivative
    Qi Haitao
    Xu Mingyu
    APPLIED MATHEMATICAL MODELLING, 2009, 33 (11) : 4184 - 4191
  • [8] On accelerated flows of an Oldroyd-B fluid in a porous medium
    Husain, A.
    Hayat, T.
    Fetecau, C.
    Asghar, S.
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2008, 9 (04) : 1394 - 1408
  • [9] Unsteady helical flows of a generalized Oldroyd-B fluid
    Tong, Dengke
    Zhang, Xianmin
    Zhang, Xinhong
    JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 2009, 156 (1-2) : 75 - 83
  • [10] Some accelerated flows for a generalized Oldroyd-B fluid
    Khan, M.
    Ali, S. Hyder
    Qi, Haitao
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (02) : 980 - 991
12345