对称定常微流边界层

Axially Symmetric Stationary Micro-fluid Boundary Layer

利用Oleinik的经典线性化方法,讨论对称定常微流边界层方程{uu/x+vu/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.

The Oleinik classical linear method to was used discuss the axially symmetric stationary microfluid boundary layer equation： {u u/ x＋v u/ y=Udu/dx＋ [v（y）uy] y （ru）/x＋ （rv）/y=0,, satisfying the boundary conditions ：u（0,Y）=0,u（O,x）=0,v（x,O）=v0（x）,lim u y→∞（z,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.