(太原重型機(jī)械學(xué)院機(jī)械系, 太原 030024太原礦山機(jī)器廠， 太原 030009
)
摘 要: 根據(jù)流體力學(xué)中的Navier-Stokes方程， 利用流函數(shù)法， 對(duì)鑄軋變形區(qū)的流變特性進(jìn)行了理論分析。 鑄軋板的寬長(zhǎng)比較大， 可簡(jiǎn)化為平面問(wèn)題， 由此建立的二階偏微分方程組， 直接求解仍較困難； 引入流函數(shù)， 設(shè)定并建立鑄軋區(qū)的速度場(chǎng)， 使其滿足不可壓縮條件和速度邊界條件， 這樣求解偏微分方程組成為可能， 并由此可為求出板帶鑄軋變形區(qū)的單位壓力分布解析式創(chuàng)造條件。
關(guān)鍵字: 流函數(shù) 板帶鑄軋 變形區(qū)
METHOD IN CASTINGROLLING DEFORMATION
（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
