简单颗粒流的热传导模型及其有效热导率
陈志远;肖波齐;
摘要(Abstract)：
文章提出了简单颗粒流的热传导模型;根据稠密气体运动学理论,运用随颗粒速度而变化的自由程,理论推导了简单颗粒流的有效热导率表达式。当Biot数小于0.1时,有效热导率解析结果可适用于Biot数和Fourier数的乘积(biFo数)的整个范围。讨论了颗粒固体体积百分比和数对有效热导率的影响,结论比已有的研究结果更准确。
关键词(KeyWords)： 颗粒流;稠密气体运动学理论;自由程;颗粒温度;有效热导率
基金项目(Foundation): 咸宁学院校重点基金项目(基金号:KZ0627)
作者(Author): 陈志远;肖波齐;
Email:
DOI:
参考文献(References)：
- [1]Hunt M L,Hsiau S S.Thermal conductivity of granular flows[C].In:Hetsroni G(Ed.),Heat Transfer,Hemisphere,Washington D C,1990,(5):177-182.
- [2]Hsiau S S,Hunt M L.Kinetic theory analysis of flow-induced particle diffusion and thermal conduction in granular materialflows[J].ASME J.Heat Transfer,1993,115(b):541-548.
- [3]Hsiau S S.Kinetic theory analysis of thermal conduction in granular material flows[A].In:Proceedings of the SecondInternational Conference on Multiphase Flow 95’,Kyoto,1995,(3):l07-112.
- [4]Chapman S,Cowling T G.The mathematical theory of non-uniform gases[M].3rd,Cambridge University Press,Cambridge,UK,1970.
- [5]Jenkins J T,Savage S B.A Theory for the rapid flow of identical,smooth,nearly elastic,spherical particles[J].J.FluidMech.,1983,130:187-202.
- [6]Lun C K K,Savage S B,Jeffery D J,Chepurniy N.Kinetic theories for granular flow:Inelastic particles in couette flowand slightly inelastic particles in a general flowfield[J].J.Fluid Mech.,1984,140:233-236.
- [7]Jenkins J T,Richman M W.Kinetic theory for plane flows of a dense gas of identical,rough,inelastic,circular disks[J].Phys.Fluids,1985,28:3485-3494.
- [8]Campbell C S.Rapid granular flows[J].Ann.Rev.Fluid Mech.,1990,22:57-92.
- [9]Carnahan N F,Starling KE.Equations of state for non-attracting rigid spheres[J].J.Chem.Phys.,1969,51:635-636.
- [10]Hunt M L.Discrete element simulations for granular material flows:effective thermal conductivity and self-diffusivity[J].Int.J.Heat Mass Transfer,1997,40:3059-3068.
- [11]Sun J,Chen M M.A theoretical analysis of heat transfer due to particle impact[J].Int.J.Heat Mass Transfer,1988,31:969-975.