Applied Mathematics and Mechanics (English Edition) ›› 2013, Vol. 34 ›› Issue (3): 339-350.doi: https://doi.org/10.1007/s10483-013-1674-9

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Mixed convection heat transfer in horizontal channel filled with nanofluids

樊涛1,2 徐航1 I. POP3   

  1. 1. State Key Laboratory of Ocean Engineering, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, P. R. China;
    2. Post-Doctoral Research Station, Jiangnan Shipyard Group Co. Ltd., Shanghai 201913, P. R. China;
    3. Department of Mathematics, Babe¸s-Bolyai University, Cluj-Napoca R-400084, Romania
  • 收稿日期:2012-04-16 修回日期:2012-10-19 出版日期:2013-03-03 发布日期:2013-02-06
  • 通讯作者: Hang XU, Associate Professor, Ph.D., E-mail: hangxu@sjtu.edu.cn E-mail:hangxu@sjtu.edu.cn

Mixed convection heat transfer in horizontal channel filled with nanofluids

Tao FAN1,2, Hang XU1, I. POP3   

  1. 1. State Key Laboratory of Ocean Engineering, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, P. R. China;
    2. Post-Doctoral Research Station, Jiangnan Shipyard Group Co. Ltd., Shanghai 201913, P. R. China;
    3. Department of Mathematics, Babe¸s-Bolyai University, Cluj-Napoca R-400084, Romania
  • Received:2012-04-16 Revised:2012-10-19 Online:2013-03-03 Published:2013-02-06
  • Contact: Hang XU, Associate Professor, Ph.D., E-mail: hangxu@sjtu.edu.cn E-mail:hangxu@sjtu.edu.cn

摘要:

The laminar fully developed nanofluid flow and heat transfer in a horizonal channel are investigated. Highly accurate solutions for the temperature and nanoparticle concentration distributions are obtained. The effects of the Brownian motion parameter Nb, the thermophoresis parameter Nt, and the Lewis number Le on the temperature and nanoparticle concentration distributions are discussed. The current analysis shows that the nanoparticles can improve the heat transfer characteristics significantly for this flow problem.

关键词: nanofluid flow, homotopy analysis method (HAM), static thermoelastic contact, nonmonotone multivalued friction, hemivariational inequality, substationary problem, finite element approximation, mixed convection heat transfer, horizontal channel

Abstract:

The laminar fully developed nanofluid flow and heat transfer in a horizonal channel are investigated. Highly accurate solutions for the temperature and nanoparticle concentration distributions are obtained. The effects of the Brownian motion parameter Nb, the thermophoresis parameter Nt, and the Lewis number Le on the temperature and nanoparticle concentration distributions are discussed. The current analysis shows that the nanoparticles can improve the heat transfer characteristics significantly for this flow problem.

Key words: homotopy analysis method (HAM), static thermoelastic contact, nonmonotone multivalued friction, hemivariational inequality, substationary problem, finite element approximation, nanofluid flow, mixed convection heat transfer, horizontal channel

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