黄俊尧,叶勇军,吴文浩.圆管状多孔射气介质氡析出规律的理论研究[J].南华大学学报(自然科学版),2020,34(1):1~8, 15.[HUANG Junyao,YE Yongjun,WU Wenhao.Theoretical Study on Radon Exhalation in Circular Tubular Porous Media[J].Journal of University of South China(Science and Technology),2020,34(1):1~8, 15.] |
圆管状多孔射气介质氡析出规律的理论研究 |
Theoretical Study on Radon Exhalation in Circular Tubular Porous Media |
投稿时间:2019-11-04 |
DOI: |
中文关键词: 多孔射气介质 数学模型 压力 扩散系数 氡析出率 |
英文关键词:porous emanation media mathematical model pressure diffusion coefficient radon exhalation rate |
基金项目:国家自然科学基金项目(11575080) |
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中文摘要: |
基于在多孔射气介质中氡的渗流-扩散迁移理论,建立了圆管状多孔射气介质氡的迁移数学模型,并获得了稳态条件下氡浓度分布的解析解和氡析出率的计算公式。通过研究,获得以下结论:1)圆管管壁内靠近圆管内外表面的氡浓度和氡浓度梯度随着扩散系数的增大而减小;2)圆管内外表面的氡析出率随扩散系数的增大而增大,并逐渐趋于最大值;整个圆管的氡析出份额随扩散系数的增大而增大并逐渐趋于1;3)圆管管壁内的氡浓度峰值的大小随着圆管内外表面压差值的增大而减小;其中氡浓度峰值最大时压差为20 Pa;氡浓度峰值最小时压差为60 Pa;4)当圆管内外表面存在压差时,高压侧的圆管表面的氡析出率随着压力梯度的增大而减小,并逐渐趋于0;低压侧的圆管表面的氡析出率随着压力梯度的增大而增大,并逐渐趋于最大值;整个圆管的氡析出份额随着压差值的增大而增大,并逐渐趋于1。 |
英文摘要: |
Based on the theory of seepage and diffusion migration of radon in porous media,the mathematical model of radon migration in tubular porous media was established,and the analytical solution of radon concentration distribution and the calculation formula of radon exhalation rate under steady state were obtained.Through the study,the following conclusions are obtained:1) The radon concentration and radon concentration gradient near the inner and outer surface of the tube wall decrease with the increase of diffusion coefficient.2)The radon exhalation rate on the inner and outer surface of the tube increases with the increase of diffusion coefficient,and gradually tends to the maximum value;The radon exhalation share of the whole tube increases with the increase of diffusion coefficient and tends to one.3) The peak value of radon concentration in the tube wall decreases with the increase of the pressure difference between the inner and outer surfaces of the tube;The maximum radon concentration peak at pressure difference was 20 Pa;The minimum radon concentration peak at pressure difference was 60 Pa.4) When there is a pressure difference between the inner and outer surfaces of the circular tube,the radon exhalation rate of the surface of the circular tube on the high-pressure side decreases with the increase of the pressure gradient,and gradually tends to zero;the radon exhalation rate of the surface of the circular tube at the low-pressure side is increased with the increase of the pressure gradient,and the maximum value is gradually increased;The radon exhalation share of the whole circular tube increases with the increase of the pressure difference,and gradually tends to one. |
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