基于分形理论的粗糙表面土壤的传热分析  

Heat Transfer Analysis of Rough Surface Soil based on Fractal Theory

作　　者：童佳辉 苏顺玉[1] TONG Jia-hui;SU Shun-yu(School of Urban Construction,Wuhan University of Science And Technology,Wuhan 430000,China)

机构地区：[1]武汉科技大学城市建设学院,湖北武汉430000

出　　处：《节能技术》2025年第1期17-21,35,共6页Energy Conservation Technology

摘　　要：有效热导率是土壤传热过程中的关键参数,对其深入研究对于地源热泵等相关技术的发展起着重要作用,在传统的土壤传热研究中通常会忽视了粗糙度对其传热过程的影响。因此本文基于分形理论原理建立了具有粗糙表面土壤的传热分形模型。该模型考虑了土壤的几何参数来研究有效热导率,包括相对粗糙度、孔隙率、迂曲度分形维数等。通过模型计算得到的研究结果与已发表的实验数据进行验证,数据吻合较好,验证了本模型的可行性。结果表明,在固相和流体热导率之比处于0~1之间时,粗糙度对土壤有效热导率的影响非常显著,且是随着相对粗糙度的增加而减小。Effective thermal conductivity is a key parameter in the process of soil heat transfer,and its in-depth study plays an important role in the development of ground source heat pump and other related technologies.In traditional soil heat transfer studies,the influence of roughness on the heat transfer process is often ignored.Therefore,a fractal heat transfer model of soil with rough surface is established in this paper based on the principle of fractal theory.The model considers the geometric parameters of soil to study the effective thermal conductivity,including relative roughness,porosity,tortuosity fractal dimension,etc.The results obtained by the model calculation are verified with the published experimental data,and the data are in good agreement,which verifies the feasibility of the model.The results show that when the ratio of solid phase to fluid thermal conductivity is between 0 and 1,the effect of roughness on soil effective thermal conductivity is very significant,and decreases with the increase of relative roughness.

关 键 词：土壤 地源热泵 分形理论 粗糙度 有效热导率 

分 类 号：TK529[动力工程及工程热物理—热能工程] TU83[建筑科学—供热、供燃气、通风及空调工程]