Applied Mathematics and Mechanics (English Edition) ›› 2014, Vol. 35 ›› Issue (11): 1401-1410.doi: https://doi.org/10.1007/s10483-014-1878-7

• 论文 • 上一篇    下一篇

Flow and heat transfer of nanofluid past stretching/shrinking sheet with partial slip boundary conditions

S. MANSUR1, A. ISHAK2, I.POP3   

  1. 1. Department of Mathematics and Statistics, Faculty of Science, Technology and Human Development, Universiti Tun Hussein Onn Malaysia, Johor 86400, Malaysia;
    2. Centre of Modelling and Data Analysis, School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Selangor 43600, Malaysia;
    3. Department of Mathematics, Babe?-Bolyai University, Cluj-Napoca 400084, Romania
  • 收稿日期:2014-01-22 修回日期:2014-05-29 出版日期:2014-11-01 发布日期:2014-11-01
  • 通讯作者: A. ISHAK, Professor, Ph.D., E-mail: anuar mi@ukm.edu.my E-mail:anuarmi@ukm.edu.my
  • 基金资助:

    Project supported by the Ministry of Higher Education in Malaysia (No. FRGS/1/2012/SG04/UKM/ 2001/1) and the Universiti Kebangsaan Malaysia (No. DIP-2012-31)

Flow and heat transfer of nanofluid past stretching/shrinking sheet with partial slip boundary conditions

S. MANSUR1, A. ISHAK2, I.POP3   

  1. 1. Department of Mathematics and Statistics, Faculty of Science, Technology and Human Development, Universiti Tun Hussein Onn Malaysia, Johor 86400, Malaysia;
    2. Centre of Modelling and Data Analysis, School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Selangor 43600, Malaysia;
    3. Department of Mathematics, Babe?-Bolyai University, Cluj-Napoca 400084, Romania
  • Received:2014-01-22 Revised:2014-05-29 Online:2014-11-01 Published:2014-11-01
  • Supported by:

    Project supported by the Ministry of Higher Education in Malaysia (No. FRGS/1/2012/SG04/UKM/ 2001/1) and the Universiti Kebangsaan Malaysia (No. DIP-2012-31)

摘要:

The boundary layer flow of a nanofluid past a stretching/shrinking sheet with hydrodynamic and thermal slip boundary conditions is studied. Numerical solutions to the governing equations are obtained using a shooting method. The results are found for the skin friction coefficient, the local Nusselt number, and the local Sherwood number as well as the velocity, temperature, and concentration profiles for some values of the velocity slip parameter, thermal slip parameter, stretching/shrinking parameter, thermophoresis parameter, and Brownian motion parameter. The results show that the local Nusselt number, which represents the heat transfer rate, is lower for higher values of thermal slip parameter, thermophoresis parameter, and Brownian motion parameter.

关键词: nanofluid, stretching/shrinking, heat transfer, dual solution, boundary layer

Abstract:

The boundary layer flow of a nanofluid past a stretching/shrinking sheet with hydrodynamic and thermal slip boundary conditions is studied. Numerical solutions to the governing equations are obtained using a shooting method. The results are found for the skin friction coefficient, the local Nusselt number, and the local Sherwood number as well as the velocity, temperature, and concentration profiles for some values of the velocity slip parameter, thermal slip parameter, stretching/shrinking parameter, thermophoresis parameter, and Brownian motion parameter. The results show that the local Nusselt number, which represents the heat transfer rate, is lower for higher values of thermal slip parameter, thermophoresis parameter, and Brownian motion parameter.

Key words: stretching/shrinking, boundary layer, dual solution, nanofluid, heat transfer

中图分类号: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals