| 非均匀颗粒流的热传导模型及其有效热导率 |
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| 引用本文： | 陈志远,钟志成.非均匀颗粒流的热传导模型及其有效热导率[J].襄樊学院学报,2007,28(5):28-33. |
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| 作者姓名： | 陈志远 钟志成 |
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| 作者单位： | 1. 咸宁学院,物理系,湖北,咸宁,437005;华中科技大学,物理系,湖北,武汉,430074
2. 襄樊学院,物理与电子信息技术系,湖北,襄樊,441053;华中科技大学,物理系,湖北,武汉,430074 |
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| 摘 要： | 根据稠密气体运动学理论，在近平衡条件下，给出粒度呈分形分布的颗粒速度分布函数，并建立颗粒和流体之间因颗粒的随机运动而产生的热传导模型．当Biot数小于0．1、BiFo数远小于1．0时，推导出颗粒固体体积百分比V较低、劲度比较高的剪切流的有效热导率解析表达式；计算结果表明系统结构特征参数η、固体体积百分比V和粒度分形维数D对有效热导率有显著的影响，并与单一颗粒流的有效热导率理论和实验结果进行了比较，本文的理论结果与实验更接近．
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| 关 键 词： | 粒度分形维数D 速度分布函数 颗粒温度 有效热导率 |
| 文章编号： | 1009-2854（2007）05-0028-06 |
| 修稿时间： | 2007-01-23 |
The Heat Transfer Model for a Non-Uniform Granular Flow and It's Effective Thermal Conductivity |
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| CHEN Zhi-yuan,ZHONG Zhi-cheng.The Heat Transfer Model for a Non-Uniform Granular Flow and It''''s Effective Thermal Conductivity[J].Journal of Xiangfan University,2007,28(5):28-33. |
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| Authors: | CHEN Zhi-yuan ZHONG Zhi-cheng |
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| Institution: | CHEN Zhi-yuan, ZHONG Zhi-cheng (1.Department of Physics, Xianning College, Xianning 437005, China; 2. Department of Physics ＆ Electronic Information Technology, Xiangfan University, Xiangfan 441053, China; 3. Department of Physics, Huazhong University of Science ＆Technology, Wuhan 430074, China) |
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| Abstract: | Based on the dense-gas kinetic theory, under the condition of quasi-equilibrium, we deduce the velocity distribution function of non-uniform granular with the fractal distribution of the particle sizes. We bring forward the thermal conductivity model of the granular flow due to the movement of the particles. Provided that the Blot number is less than 0.1 and theBiFo number is far less than 1.0, the effective thermal conductivity in shear flows for low density and high stiffness ratio, is theoretically derived. The computational results indicate that the structural character parameter η, solid fractionV and fractal dimension D of the particle size distribution have great influences on the thermal conductivity. Comparing the conclusions with the correlative experimental data and the theoretical conclusion of simple granular mixture, our results can well consistent with the experimental data. |
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| Keywords: | Fractal dimension D Velocity distribution function Granular temperature Effective thermal Conductivity |
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