环空内Oldroyd B流体非定常旋转流动解析法研究

Research on variation analytical approach for time-dependent rotation flow of non-newtonian fluid in a ring sleeve

应用解析方法研究了二旋转圆柱之间环空内的非牛顿流体非定常旋转流动,采用改进的Kantorovich变分方法,得到了环空内Oldroyd B流体非定常旋转流动的解析结果,该结果与差分法得到的结果一致,表明该方法是可行的,且这类问题都可以采用该方法求解.

This paper studies the time-dependent rotation flow of Oldroyd B fluid by Kantorovich variational method.In the time-dependent rotation flow problem,the initial and boundary values of high-order partial differential equations are reduced to the low-order approximation values of ordinary differential equation.The results which are calculated by Kantorovich variational method are compared with that by finite difference methed.The compared results are fundamentally the same.