Analytical study of Cattaneo–Christov heat flux model for a boundary layer flow of Oldroyd-B fluid

被引:4
作者
F M Abbasi [1 ]
M Mustafa [2 ]
S A Shehzad [1 ]
M S Alhuthali [3 ]
T Hayat [3 ,4 ]
机构
[1] Department of Mathematics, Comsats Institute of Information Technology
[2] School of Natural Sciences (SNS), National University of Science and Technology(NUST)
[3] NAAM Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University
[4] Department of Mathematics, Quaid-I-Azam University 45320
关键词
Oldroyd-B fluid; Cattaneo–Christov heat flux; nonlinear analysis;
D O I
暂无
中图分类号
O357.1 [不可压缩粘性流体力学];
学科分类号
080103 ; 080704 ;
摘要
We investigate the Cattaneo–Christov heat flux model for a two-dimensional laminar boundary layer flow of an incompressible Oldroyd-B fluid over a linearly stretching sheet. Mathematical formulation of the boundary layer problems is given. The nonlinear partial differential equations are converted into the ordinary differential equations using similarity transformations. The dimensionless velocity and temperature profiles are obtained through optimal homotopy analysis method(OHAM). The influences of the physical parameters on the velocity and the temperature are pointed out. The results show that the temperature and the thermal boundary layer thickness are smaller in the Cattaneo–Christov heat flux model than those in the Fourier’s law of heat conduction.
引用
收藏
页码:661 / 666
页数:6
相关论文
共 18 条
  • [1] Flow of Oldroyd-B fluid with nanoparticles and thermal radiation[J]. T.HAYAT,T.HUSSAIN,S.A.SHEHZAD,A.ALSAEDI.Applied Mathematics and Mechanics(English Edition). 2015(01)
  • [2] The viscoelastic effects on thermal convection of an Oldroyd-B fluid in open-top porous media[J]. 牛骏,石在虹,谭文长.Journal of Hydrodynamics. 2013(04)
  • [3] Analysis for flow of Jeffrey fluid with nanoparticles[J] . Hayat T.,Asad Sadia,Alsaedi A..Chinese Physics B . 2015 (4)
  • [4] Heat transfer analysis in the flow of Walters’ B fluid with a convective boundary condition[J] . T. Hayat,Sadia Asad,M. Mustafa,Hamed H. Alsulami.Chinese Physics B . 2014 (8)
  • [5] Numerical and analytical solutions for Falkner-Skan flow of MHD Oldroyd-B fluid
    Abbasbandy, S.
    Hayat, T.
    Alsaedi, A.
    Rashidi, M. M.
    [J]. INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 2014, 24 (02) : 390 - 401
  • [6] Homotopy simulation of nanofluid dynamics from a non-linearly stretching isothermal permeable sheet with transpiration
    Rashidi, M. M.
    Freidoonimehr, N.
    Hosseini, A.
    Beg, O. Anwar
    Hung, T. -K.
    [J]. MECCANICA, 2014, 49 (02) : 469 - 482
  • [7] Determination of optimal convergence-control parameter value in homotopy analysis method
    Abbasbandy, S.
    Jalili, M.
    [J]. NUMERICAL ALGORITHMS, 2013, 64 (04) : 593 - 605
  • [8] Exact solutions for the unsteady rotational flow of an Oldroyd-B fluid with fractional derivatives induced by a circular cylinder
    Kamran, M.
    Imran, M.
    Athar, M.
    [J]. MECCANICA, 2013, 48 (05) : 1215 - 1226
  • [9] Effect of rotation on the onset of thermal convection in a viscoelastic fluid layer
    Swamy, Mahantesh S.
    Sidram, W.
    [J]. FLUID DYNAMICS RESEARCH, 2013, 45 (01)
  • [10] MHD flow and heat transfer over a porous shrinking surface with velocity slip and temperature jump[J] . Liancun Zheng,Jiajia Niu,Xinxin Zhang,Yingtao Gao.Mathematical and Computer Modelling . 2012 (5-6)