巷道断面形状对围岩散热规律的影响研究  

Study on the influence of roadway cross-section shape on heat dissipation of surrounding rock

作　　者：张一夫 谢倩楠 董子文[1] 皮子坤[1] ZHANG Yi-fu;XIE Qian-nan;DONG Zi-wen;PI Zi-kun(School of Safety and Management Engineering,Hunan Institute of Technology,Hengyang 421002,Hunan,China;Institute of Human Factors and Safety Engineering,Hunan Institute of Technology,Hengyang 421002,Hunan,China)

机构地区：[1]湖南工学院安全与管理工程学院,湖南衡阳421002 [2]湖南工学院人因与安全工程研究院,湖南衡阳421002

出　　处：《安全与环境学报》2021年第6期2595-2601,共7页Journal of Safety and Environment

基　　金：国家自然科学基金项目(51804107);衡阳市科技局指导性项目(2019jh010630)。

摘　　要：为了研究巷道断面形状特征对围岩散热特性的影响,结合矿井通风的实际情况,建立贴体坐标系下二维径向围岩非稳态导热的微分方程。利用坐标变换方法将实际物理平面内的控制方程转换到规则的计算平面内进行求解。以水力半径为1.2 m的不同断面形状的巷道为研究对象,利用自主编制的基于有限体积法(FVM)的C++求解程序,对其内部温度场变化情况开展数值模拟研究。结果表明,矿井通风初期的前5年内,围岩温度场的分布特点受巷道断面形状的影响较为显著。围岩散热呈现各向异性特点,且通风时间越长各向异性的特点越显著。通过数据分析拟合发现,巷道围岩的调热圈半径随通风时间呈指数变化,且经历相同通风时间后,调热圈半径随形状因子增大呈线性增加趋势。巷道壁面平均温度和散热热流密度随形状因子增大而降低,但二者随时间变化的轨迹不同。To study the influence of shape characteristics of roadway cross-section on heat dissipation law of surrounding rocks,combined with the actual situation of mine ventilation,a differential equation of unsteady heat conduction of two-dimensional radial surrounding rock in body-fitted coordinate is established.By using the coordinate transformation method,the control equation in the actual physical plane is transformed into a regular domain of the calculation plane for being solved.Taking the roadway with different cross-section shapes with hydraulic radius of 1.2 m as the research object,their temperature fields are numerically simulated by a self-developed C++ program based on finite volume method(FVM).Results show that,in the first five years of mine ventilation,the distribution characteristics of the surrounding rock temperature field are significantly affected by the shape of the roadway cross-section.The heat dissipation of surrounding rock is characterized by the anisotropic properties and the anisotropic properties become more and more obvious with the increase of ventilation time.By data fitting and analysis,it is found that the radius of the heat-regulating circle of the surrounding rock changes exponentially with ventilation time and the shape factor,under the same ventilation time the radius of the heat-regulating circle increases linearly with the increase of the shape factor.The average wall temperature and surface heat flux density decrease with the increase of shape factor but their trajectories with time are different.

关 键 词：安全工程 围岩散热 贴体坐标系 调热圈 巷道形状因子 

分 类 号：X936[环境科学与工程—安全科学]