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Fully Developed Convective Heat Transfer of Power Law Fluids in a Circular Tube
作者姓名:郑连存  张欣欣  马连喜
作者单位:[1]Department of Mathematics and Mechanics, University of Science and Technology Beijing, Beijing 100083 [2]School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083 [3]Department of Physics, Texas A & M University, College Station, Texas 77843-4242, USA
基金项目:Supported by the National Natural Science Foundations of China under Grant No 50476083.
摘    要:We present a theoretical analysis for fully developed convective beat transfer in a circular tube for power law fluids by assuming that the thermal diffusivity is a function of temperature gradient. The analytical eolution is obtained and the heat transfer behaviour is investigated under a constant heat flux boundary condition. It is shown that the Nusselt number strongly depends on the value of power law index n. The Nusselt number sharply decreases in the range of 0 〈 n 〈 0.1. However, for n 〉 0.5, the Nusselt number decreases monotonically with the increasing n, and for n 〉 20, the values of Nusselt number approach a constant.

关 键 词:对流传热  流体力学  幂律流体  环形管
收稿时间:2007-08-30

Fully Developed Convective Heat Transfer of Power Law Fluids in a Circular Tube
ZHENG Lian-Cun,ZHANG Xin-Xin,MA Lian-Xi.Fully Developed Convective Heat Transfer of Power Law Fluids in a Circular Tube[J].Chinese Physics Letters,2008,25(1):195-197.
Authors:ZHENG Lian-Cun  ZHANG Xin-Xin  MA Lian-Xi
Institution:Department of Mathematics and Mechanics, University of Science and Technology Beijing, Beijing 100083School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083Department of Physics, Texas A & M University, College Station, Texas 77843-4242, USA
Abstract:We present a theoretical analysis for fully developed convective heat transfer in a circular tube for power law fluids by assuming that the thermal diffusivity is a function of temperature gradient. The analytical solution is obtained and the heat transfer behaviour is investigated under a constant heat flux boundary condition. It is shown that the Nusselt number strongly depends on the value of power law index n. The Nusselt number sharply decreases in the range of 0<n<0.1. However, for n>0.5, the Nusselt number decreases monotonically with the increasing n, and for n>20, the values of Nusselt number approach a constant.
Keywords:47  50  +d  47  27  Te  44  15  +a  44  10  +i
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