方形截面弯管中的Oldroyd-B流体流动  

Flow of Oldroyd-B fluid in square duct

作　　者：沈新荣[1] 张明侃[1] 麻剑锋[1] 章本照[1] 

机构地区：[1]浙江大学航空航天学院,浙江杭州310027

出　　处：《浙江大学学报（工学版）》2008年第7期1115-1118,1168,共5页Journal of Zhejiang University：Engineering Science

基　　金：国家自然科学基金资助项目(10272096)

摘　　要：为了优化工业中非牛顿流体的流动,应用Galerkin方法来研究Oldroyd-B流体在方形截面管道中的充分发展流动.结果包括了Weissenberg数和Reynolds数对于粘弹流体流动的二次流、轴向速度以及法向应力差的影响.计算结果表明,由于上随体导数项的存在,Weissenberg数的增大会使得主流速度变小,而对二次流的影响不大.弹性力的作用不仅使得第一法向应力差的绝对值变大,而且会在外壁产生出一个负值区域.Weissenberg数的增大同样会使得第二法向应力差变大,并使其分布更为均匀.A fully developed Oldr0yd-B fluid flow through a square duct was studied by Galerkin method in order to optimize the non-Newtonian fluid flow in applications. Results include secondary flow, axial velocity and normal stress difference, which are affected by the Weissenberg number and Reynolds number. The decreasing Weissenberg number decreases the main flow but has little effect on the secondary flow due to the existence of upper-convected derivative. The elastic force enlarges the absolute value of the first normal stress difference and creates a negative value area around the outer wall. The increasing Weissenberg number increases the second normal stress difference as well and equalizes its distribution in the cross-section.

关 键 词：方截面弯管 Oldroyd-B流体 二次流 法向应力差 

分 类 号：O373[理学—流体力学]