Fully Developed Convective Heat Transfer of Power Law Fluids in a Circular Tube
ZHENG Lian-Cun1, ZHANG Xin-Xin2, MA Lian-Xi3
1Department of Mathematics and Mechanics, University of Science and Technology Beijing, Beijing 1000832School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 1000833Department of Physics, Texas A & M University, College Station, Texas 77843-4242, USA
Fully Developed Convective Heat Transfer of Power Law Fluids in a Circular Tube
ZHENG Lian-Cun1;ZHANG Xin-Xin2;MA Lian-Xi3
1Department of Mathematics and Mechanics, University of Science and Technology Beijing, Beijing 1000832School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 1000833Department of Physics, Texas A & M University, College Station, Texas 77843-4242, USA
摘要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.
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.
ZHENG Lian-Cun;ZHANG Xin-Xin;MA Lian-Xi. Fully Developed Convective Heat Transfer of Power Law Fluids in a Circular Tube[J]. 中国物理快报, 2008, 25(1): 195-197.
ZHENG Lian-Cun, ZHANG Xin-Xin, MA Lian-Xi. Fully Developed Convective Heat Transfer of Power Law Fluids in a Circular Tube. Chin. Phys. Lett., 2008, 25(1): 195-197.
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2008, Vol. 25 
