On exact solutions of Stokes second problem for MHD Oldroyd-B fluid

被引:10
|
作者
Khan, Masood [1 ]
Arshad, Misbah [1 ]
Anjum, Asia [1 ]
机构
[1] Quaid I Azam Univ, Dept Math, Islamabad 44000, Pakistan
关键词
1ST PROBLEM; MAGNETOHYDRODYNAMIC FLOW; BURGERS FLUID; POROUS-MEDIUM; SISKO FLUID; HALL;
D O I
10.1016/j.nucengdes.2011.11.024
中图分类号
TL [原子能技术]; O571 [原子核物理学];
学科分类号
0827 ; 082701 ;
摘要
The present study is an attempt to look at the exact solutions of Stokes second problem. Constitutive equations for an Oldroyd-B fluid have been taken into consideration. The fluid is electrically conducting under the influence of a uniform transverse magnetic field. The hydromagnetic flow is generated by the oscillations of an infinite flat plate. Employing the Laplace transform, the expressions for the velocity field and the associated tangential stress are obtained. These solutions are presented as a sum of steady state and transient solutions. The results are graphically displayed and the influence of various parameters is discussed. Further, the results under the limiting conditions are found to be in good agreement with the existing ones. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码:20 / 32
页数:13
相关论文
共 50 条
  • [1] New Exact Solutions for an Oldroyd-B Fluid with Fractional Derivatives: Stokes' First Problem
    Jamil, Muhammad
    Khan, Najeeb Alam
    Imran, Muhammad Asjad
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2013, 14 (7-8) : 443 - 451
  • [2] The first problem of Stokes for an Oldroyd-B fluid
    Fetecau, C
    Fetecau, C
    INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2003, 38 (10) : 1539 - 1544
  • [3] Exact solutions in generalized Oldroyd-B fluid
    T. HAYAT
    S. ZAIB
    S. ASGHAR
    A. A. HENDI
    AppliedMathematicsandMechanics(EnglishEdition), 2012, 33 (04) : 411 - 426
  • [4] Exact solutions in generalized Oldroyd-B fluid
    Hayat, T.
    Zaib, S.
    Asghar, S.
    Hendi, A. A.
    APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2012, 33 (04) : 411 - 426
  • [5] Exact solutions in generalized Oldroyd-B fluid
    T. Hayat
    S. Zaib
    S. Asghar
    A. A. Hendi
    Applied Mathematics and Mechanics, 2012, 33 : 411 - 426
  • [6] New exact solutions corresponding to the first problem of Stokes for Oldroyd-B fluids
    Vieru, D.
    Nazar, M.
    Fetecau, Corina
    Fetecau, C.
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 55 (08) : 1644 - 1652
  • [7] Exact solutions of flow problems of an Oldroyd-B fluid
    Hayat, T
    Khan, M
    Ayub, M
    APPLIED MATHEMATICS AND COMPUTATION, 2004, 151 (01) : 105 - 119
  • [8] 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
  • [9] Exact solutions for MHD flow of generalized Oldroyd-B fluid due to an infinite accelerating plate
    Zheng, Liancun
    Liu, Yaqing
    Zhang, Xinxin
    MATHEMATICAL AND COMPUTER MODELLING, 2011, 54 (1-2) : 780 - 788
  • [10] The Rayleigh-Stokes problem for an edge in an Oldroyd-B fluid
    Fetecau, C
    COMPTES RENDUS MATHEMATIQUE, 2002, 335 (11) : 979 - 984