中国物理B ›› 2016, Vol. 25 ›› Issue (1): 14701-014701.doi: 10.1088/1674-1056/25/1/014701

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇    下一篇

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

F M Abbasi, M Mustafa, S A Shehzad, M S Alhuthali, T Hayat   

  1. 1. Department of Mathematics, Comsats Institute of Information Technology, Islamabad 44000, Pakistan;
    2. School of Natural Sciences (SNS), National University of Science and Technology (NUST), Islamabad 44000, Pakistan;
    3. Department of Mathematics, Comsats Institute of Information Technology, Sahiwal 57000, Pakistan;
    4. NAAM Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia;
    5. Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan
  • 收稿日期:2015-06-21 修回日期:2015-08-15 出版日期:2016-01-05 发布日期:2016-01-05
  • 通讯作者: S A Shehzad E-mail:ali_qau70@yahoo.com
  • 基金资助:
    Project supported by the Deanship of Scientific Research (DSR) King Abdulaziz University, Jeddah, Saudi Arabia (Grant No. 32-130-36-HiCi).

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

F M Abbasi1, M Mustafa2, S A Shehzad3, M S Alhuthali4, T Hayat4,5   

  1. 1. Department of Mathematics, Comsats Institute of Information Technology, Islamabad 44000, Pakistan;
    2. School of Natural Sciences (SNS), National University of Science and Technology (NUST), Islamabad 44000, Pakistan;
    3. Department of Mathematics, Comsats Institute of Information Technology, Sahiwal 57000, Pakistan;
    4. NAAM Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia;
    5. Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan
  • Received:2015-06-21 Revised:2015-08-15 Online:2016-01-05 Published:2016-01-05
  • Contact: S A Shehzad E-mail:ali_qau70@yahoo.com
  • Supported by:
    Project supported by the Deanship of Scientific Research (DSR) King Abdulaziz University, Jeddah, Saudi Arabia (Grant No. 32-130-36-HiCi).

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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.

关键词: Oldroyd-B fluid, Cattaneo-Christov heat flux, nonlinear analysis

Abstract: 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.

Key words: Oldroyd-B fluid, Cattaneo-Christov heat flux, nonlinear analysis

中图分类号:  (Non-Newtonian fluid flows)

  • 47.50.-d
02.30.Hq (Ordinary differential equations) 02.30.Jr (Partial differential equations)