非牛顿流体在多孔介质中渗吸现象的研究  

Imbibition for non-Newtonian fluid in porous media

作　　者：王世芳[1] 吴涛[2] 肖明[1] 

机构地区：[1]湖北第二师范学院物理与电子信息学院,湖北武汉430205 [2]武汉工程大学理学院,湖北武汉430074

出　　处：《湖北大学学报（自然科学版）》2012年第3期350-354,共5页Journal of Hubei University：Natural Science

基　　金：湖北第二师范学院青年基金(2009C013)资助

摘　　要：基于分形理论,研究非牛顿Bingham流体在多孔介质中渗吸现象,得到Bingham流体在多孔介质中的渗吸高度与渗吸累积质量的分形解析表达式.研究结果表明,屈服应力越大,达到平衡时渗吸高度越小,累积质量也越小,这与实际物理现象相吻合.在渗吸的初期阶段,Bingham流体在多孔介质中渗吸速度比较大,然后逐渐减小直至达到平衡高度.渗吸初期如果不考虑重力因素,若Bingham流体屈服应力τ0=0,则流体在多孔介质中渗吸累积质量与渗吸时间平方根呈线性关系.The imbibition process for non-Newtonian fluid in porous media was investigated based on fractal theory.Analytical expressions for the height of imbibition and the mass of imbibition for Bingham fluid as function of time in porous media were presented.The result showed that the larger yield stress,the lower height of imbibition and the smaller the mass of imbibition for Bingham liquid,and it was consistent with the physical situation.At the initial imbibition stage,the rise velocity increased very quickly and then began to decrease,till it was at an equilibrium height.The accumulated imbibed mass in porous media was proportional to the square of time in the initial imbibition stage without taking gravity into account when the yield stress was set to zero.

关 键 词：Bingham流体 屈服应力 渗吸 渗吸高度 多孔介质 

分 类 号：TP311[自动化与计算机技术—计算机软件与理论]