摘要
根据流体力学中的NavierStokes方程,利用流函数法,对铸轧变形区的流变特性进行了理论分析。铸轧板的宽长比较大,可简化为平面问题,由此建立的二阶偏微分方程组,直接求解仍较困难;引入流函数,设定并建立铸轧区的速度场,使其满足不可压缩条件和速度边界条件,这样求解偏微分方程组成为可能,并由此可为求出板带铸轧变形区的单位压力分布解析式创造条件。
According to the Navier Stakes equation in fluid mechanics, the rheological properties of casting rolling deformation area with flow function method was analyzed. The researching problem was simplified into a 2D one, because the width of casting rolling sheet was much greater than height. It was found that direct solution for the established two dimensional partial differential equation is difficult, however if flow function is led in and velocity field of casting rolling area is established, which satisfies not only the condition of no compression but also velocity boundary, then it is possible to find out the solution of partial differential equation and the analytic solution of average unit compression stress distribution for casting rolling deformed area.
出处
《中国有色金属学报》
EI
CAS
CSCD
北大核心
1999年第1期115-117,共3页
The Chinese Journal of Nonferrous Metals
基金
山西省自然科学基金
关键词
流函数
板带铸轧
变形区
理论分析
铸轧
flow function strip casting rolling mill deformation area