Transactions of Nonferrous Metals Society of China The Chinese Journal of Nonferrous Metals

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中国有色金属学报

ZHONGGUO YOUSEJINSHU XUEBAO

第9卷    第1期    总第30期    1999年3月

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文章编号:1004-0609(1999)01-0115-03
流函数法在铸轧变形理论分析中的应用
孙斌煜   张  洪 孙航临

(太原重型机械学院机械系, 太原 030024

太原矿山机器厂, 太原 030009)

摘 要:   根据流体力学中的Navier-Stokes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。

 

关键字: 流函数   板带铸轧   变形区

THEORETICAL ANALYSIS OF FLOW FUNCTION
METHOD IN CASTINGROLLING DEFORMATION
Sun Binyu, Zhang Hong and Sun Hanglin*

Department of Mechanics,

Taiyuan Heavy Machinery Institute, Taiyuan 030024, P. R. China
*Taiyuan Mining Machinery Plant, Taiyuan 030009, P. R. China)

Abstract: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.

 

Key words:   flow function   strip casting-rolling mill   deformation area

ISSN 1004-0609
CN 43-1238/TG
CODEN: ZYJXFK

ISSN 1003-6326
CN 43-1239/TG
CODEN: TNMCEW

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