多孔介质粗糙表面分形-蒙特卡罗传热研究  

Study on Fractal-Monte Carlo Heat Transfer of Rough Surface of Porous Media

作　　者：徐静磊 张赛[1] 王昌进 张杰[1] 高伟业 Xu Jinglei;Zhang Sai;Wang Changjin;Zhang Jie;Gao Weiye(School of Mechanical and Electrical Engineering,Kunming University of Science and Technology,Kunming City,Yunnan Province 650500,China)

机构地区：[1]昆明理工大学机电工程学院,云南省昆明市650500

出　　处：《农业装备与车辆工程》2021年第10期27-31,共5页Agricultural Equipment & Vehicle Engineering

基　　金：云南省级项目(人培)项目“多孔材料热质传递及耦合问题的分形研究项目”(KKSY201601011);云南省科技厅(青年基金)项目“基于分形理论的多孔介质传递系数与热-质全耦合数学模型项目”(KKSQ201701008)。

摘　　要：为了探究多孔介质在微观粗糙表面结构下的传热,建立了关于粗糙表面的二维、三维模型。基于分形理论,通过与蒙特卡罗法和傅里叶定律的结合,推导出了有效传热系数的表达式。该理论模型通过相关数据的代入计算,讨论分析了粗糙表面面积分形维数和孔隙率对有效传热系数的影响。研究发现孔隙率与有效传热系数呈负相关关系,面积分形维数与有效传热系数也呈负相关关系。该理论研究多孔介质粗糙表面的细微结构的传热,对于具有微观结构的粗糙表面物质传热具有一定的研究参考价值。In order to explore the heat transfer of porous media under the microstructure of rough surface,two-dimensional and three-dimensional models of rough surface were established.Based on fractal theory,this paper combined Monte Carlo method and Fourier law,and derived an expression of effective heat transfer coefficient.The influence of integral shape dimension and porosity of rough surface on effective heat transfer coefficient is discussed and analyzed by taking relevant data into calculation.It is found that there is a negative correlation between porosity and effective heat transfer coefficient,as well as a negative correlation between surface integral shape dimension and effective heat transfer coefficient.This theory can be used to study the heat transfer of fine structures on rough surfaces of porous media,which has some guiding significance for the heat transfer of rough surfaces with microstructure.

关 键 词：多孔介质 粗糙表面 分形-蒙特卡罗法 有效传热系数 

分 类 号：TK121[动力工程及工程热物理—工程热物理]