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
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
  • [21] Accelerating mhd flow of a generalized oldroyd-b fluid with fractional derivative
    Gengdan Institute of Beijing University of Technology, Beijing
    101301, China
    不详
    052165, China
    Front. Heat Mass Transf., 1
  • [22] Analytical Solution of Fractional Oldroyd-B Fluid via Fluctuating Duct
    Song, Ying Qing
    Farooq, Aamir
    Kamran, Muhammad
    Rehman, Sadique
    Tamoor, Muhammad
    Khan, Rewayat
    Fahad, Asfand
    Qureshi, Muhammad Imran
    COMPLEXITY, 2021, 2021
  • [23] Numerical simulation of generalized Oldroyd-B and generalized Newtonian fluid flows
    Vladimír Prokop
    Karel Kozel
    Computing, 2013, 95 : 587 - 597
  • [24] Unsteady rotational flows of an Oldroyd-B fluid due to tension on the boundary
    Rauf, A.
    Zafar, A. A.
    Mirza, I. A.
    ALEXANDRIA ENGINEERING JOURNAL, 2015, 54 (04) : 973 - 979
  • [25] EXACT-SOLUTIONS FOR SOME SIMPLE FLOWS OF AN OLDROYD-B FLUID
    RAJAGOPAL, KR
    BHATNAGAR, RK
    ACTA MECHANICA, 1995, 113 (1-4) : 233 - 239
  • [26] Galerkin FEM for a time-fractional Oldroyd-B fluid problem
    Mariam Al-Maskari
    Samir Karaa
    Advances in Computational Mathematics, 2019, 45 : 1005 - 1029
  • [27] Oscillating Motion of an Oldroyd-B Fluid with Fractional Derivatives in a Circular Cylinder
    Raza, N.
    Haque, E. U.
    Rashidi, M. M.
    Awan, A. U.
    Abdullah, M.
    JOURNAL OF APPLIED FLUID MECHANICS, 2017, 10 (05) : 1421 - 1426
  • [28] On the unsteady rotational flow of fractional Oldroyd-B fluid in cylindrical domains
    Kamran, M.
    Imran, M.
    Athar, M.
    Imran, M. A.
    MECCANICA, 2012, 47 (03) : 573 - 584
  • [29] Galerkin FEM for a time-fractional Oldroyd-B fluid problem
    Al-Maskari, Mariam
    Karaa, Samir
    ADVANCES IN COMPUTATIONAL MATHEMATICS, 2019, 45 (02) : 1005 - 1029
  • [30] On the unsteady rotational flow of fractional Oldroyd-B fluid in cylindrical domains
    M. Kamran
    M. Imran
    M. Athar
    M. A. Imran
    Meccanica, 2012, 47 : 573 - 584