北京科技大学学报
北京科技大學學報
북경과기대학학보
JOURNAL OF UNIVERSITY OF SCIENCE AND TECHNOLOGY BEIJING
2014年
6期
709-715
,共7页
朱维耀%马千%邓佳%马东旭%宋智勇%岳明
硃維耀%馬韆%鄧佳%馬東旭%宋智勇%嶽明
주유요%마천%산가%마동욱%송지용%악명
多孔介质%纳微米级孔隙%气体流动%渗透率%数学模型%流动模型
多孔介質%納微米級孔隙%氣體流動%滲透率%數學模型%流動模型
다공개질%납미미급공극%기체류동%삼투솔%수학모형%류동모형
porous media%nano-micron pores%gas flow%permeability%mathematical models%flow models
对纳微米级孔隙多孔介质内的气体流动进行了研究。利用克努森数划分流态,绘制了流态图版,阐明了不同区域的流动特征。基于 Beskok- Karniadakis 模型,对渗透率校正系数进行了改进,引入多项式修正系数,将 Beskok- Karniadakis 模型简化为二项式方程,并利用最小二乘法分段拟合得出多项式修正系数的取值。模型对比显示,简化后的模型具有较高的精确度。应用此模型推导出了纳微米级孔隙气体流量的计算公式。进行了室内微观渗流模拟实验,得到气体平面单向渗流规律,与由纳微米级孔隙气体流量公式计算所得渗流特征进行对比,结果显示本模型与实验数据拟合较好。采用本模型进行编程计算,对其影响因素进行分析,发现气体流量随压力平方差增加而增大,且增加趋势越来越快,并随多孔介质渗透率和克努森扩散系数的增加而增大。
對納微米級孔隙多孔介質內的氣體流動進行瞭研究。利用剋努森數劃分流態,繪製瞭流態圖版,闡明瞭不同區域的流動特徵。基于 Beskok- Karniadakis 模型,對滲透率校正繫數進行瞭改進,引入多項式脩正繫數,將 Beskok- Karniadakis 模型簡化為二項式方程,併利用最小二乘法分段擬閤得齣多項式脩正繫數的取值。模型對比顯示,簡化後的模型具有較高的精確度。應用此模型推導齣瞭納微米級孔隙氣體流量的計算公式。進行瞭室內微觀滲流模擬實驗,得到氣體平麵單嚮滲流規律,與由納微米級孔隙氣體流量公式計算所得滲流特徵進行對比,結果顯示本模型與實驗數據擬閤較好。採用本模型進行編程計算,對其影響因素進行分析,髮現氣體流量隨壓力平方差增加而增大,且增加趨勢越來越快,併隨多孔介質滲透率和剋努森擴散繫數的增加而增大。
대납미미급공극다공개질내적기체류동진행료연구。이용극노삼수화분류태,회제료류태도판,천명료불동구역적류동특정。기우 Beskok- Karniadakis 모형,대삼투솔교정계수진행료개진,인입다항식수정계수,장 Beskok- Karniadakis 모형간화위이항식방정,병이용최소이승법분단의합득출다항식수정계수적취치。모형대비현시,간화후적모형구유교고적정학도。응용차모형추도출료납미미급공극기체류량적계산공식。진행료실내미관삼류모의실험,득도기체평면단향삼류규률,여유납미미급공극기체류량공식계산소득삼류특정진행대비,결과현시본모형여실험수거의합교호。채용본모형진행편정계산,대기영향인소진행분석,발현기체류량수압력평방차증가이증대,차증가추세월래월쾌,병수다공개질삼투솔화극노삼확산계수적증가이증대。
This article focuses on gas flow regularity in nano-micron porous media. The flow state was judged by Knudsen number, and then the flow state chart was drawn. The flow characteristics were illustrated for different regions. The correction coefficient of per-meability was improved based on the Beskok-Karniadakis model. By introducing polynomial correction coefficients, the Beskok-Kar-niadakis model was simplified to a binomial equation, and the values of polynomial correction coefficients were obtained by the least squares method. Compared with the Beskok-Karniadakis model, the simplified model has high accuracy. The flow rate equation in nano-micron porous media was developed based on the simplified model. The gas unidirectional seepage law was derived from indoor micro seepage experiment. The flow rate equation in nano-micron porous media agrees with experimental data. Factors influencing the gas flow rate were numerically studied by programming on the base of this model. It is found that the gas flow rate increases more and more quickly with the pressure square difference, and increases with the permeability of porous media and the Knudsen diffusion coeffi-cient.