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对称定常微流边界层
Axially Symmetric Stationary Micro-fluid Boundary Layer
【摘要】 利用Oleinik的经典线性化方法,讨论对称定常微流边界层方程{uu/x+vu/y=Udu/dx+[v(y)uy]/y (ru)/x+(rv)/y=0,满足边界条件:u(0,y)=0,u(0,x)=0,v(x,0)=v0(x),lim u(x,y)y→∞=U(x)解的适定性问题.其中,v(y)>0是粘性系数,满足一定的限制条件.
【Abstract】 The Oleinik classical linear method to was used discuss the axially symmetric stationary micro-fluid boundary layer equation:{uu/x+vu/y=Udu/dx+[v(y)uy]/y (ru)/x+(rv)/y=0,,satisfying the boundary conditions:u(0,y)=0,u(0,x)=0,v(x,0)=v0(x),lim u(x,y)y→∞=U(x).Where v(y)>0 was the coefficient of viscosity satisfying some constraints.The existence and the uniqueness of the solution of boundary conditions for above equation were obtained.
【关键词】 微流边界层;
粘性系数;
存在性;
唯一性;
【Key words】 micro-fluid boundary layer; coefficient of viscosity; existence; uniqueness;
【Key words】 micro-fluid boundary layer; coefficient of viscosity; existence; uniqueness;
【基金】 福建省自然科学基金资助项目(2009J01009)
- 【文献出处】 集美大学学报(自然科学版) ,Journal of Jimei University(Natural Science) , 编辑部邮箱 ,2013年01期
- 【分类号】O175
- 【下载频次】44