本文選題：共形映射 + 單螺桿擠出機��； 參考：《北京化工大學學報(自然科學版)》2017年05期

【摘要】：單螺桿擠出機流體流動區(qū)域是一個復(fù)雜的區(qū)域,其截面為雙連通區(qū)域,且計算求解此流動區(qū)域上的泊松方程是用高效的投影算法求解單螺桿擠出機流體流動問題的核心步驟。利用共形映射將此不規(guī)則的雙連通區(qū)域轉(zhuǎn)化為同心圓環(huán),進一步將復(fù)雜的求解區(qū)域變?yōu)橐?guī)則的圓環(huán)柱體區(qū)域,可以大大簡化問題的計算,并適用于計算包含漏流層的單螺桿擠出機流體流動問題。以截面內(nèi)邊界曲線為橢圓的單螺桿擠出機為例進行了泊松方程的求解計算,將求得的解與精確解進行了對比,結(jié)果表明此方法簡單有效。
[Abstract]:The flow region of a single screw extruder is a complex region, whose cross section is a double connected region. The calculation of Poisson's equation in this flow region is the core step of solving the fluid flow problem of a single screw extruder with an efficient projection algorithm. By using conformal mapping, the irregular double connected region is transformed into a concentric ring, and the complex solution region is further transformed into a regular circular cylinder region, which greatly simplifies the calculation of the problem. It can be used to calculate the flow problem of single screw extruder with leakage layer. A single screw extruder with inner boundary curve as an example is used to solve the Poisson equation. The results show that the method is simple and effective.
【作者單位】： 北京化工大學理學院;
【基金】：國家自然科學基金(11671027/11471321)
【分類號】：O241.8

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相關(guān)碩士學位論文 前2條

1 伍繼梅;單螺桿擠出機三維數(shù)值模擬的研究[D];北京化工大學;2014年

2 方園;單螺桿擠出機中不可壓縮粘性非牛頓流體的流動分析[D];北京化工大學;2014年

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本文編號：1829811