【摘要】：同軸圓筒間旋轉(zhuǎn)流動的Couette-Taylor流問題是近一個(gè)世紀(jì)以來人們普遍關(guān)注的熱點(diǎn)問題,由于其流動形態(tài)的可觀測性以及它在湍流研究中的基礎(chǔ)性地位及其在流體機(jī)械、石油化工等領(lǐng)域的廣泛應(yīng)用,國際上將其列為非線性科學(xué)的范例之一.為了探討這種流動從層流到湍流過渡的方式以及流動發(fā)展到湍流之后混沌吸引子的某些特征等問題,該文采用低模分析方法研究了Couette-Taylor流的部分動力學(xué)行為及仿真問題,探討了同軸圓筒間Couette-Taylor流三模態(tài)類Lorenz型方程組的動力學(xué)行為及仿真問題,數(shù)值模擬了系統(tǒng)分岔與混沌的演變歷程,討論了系統(tǒng)的全局穩(wěn)定性.
[Abstract]:The Couette-Taylor flow problem of coaxial cylinder rotating flow is a hot issue in recent century. Due to the observability of its flow pattern and its basic position in the study of turbulence and its fluid machinery. Petrochemical and other fields are widely used in the world as one of the examples of nonlinear science. In order to investigate the transition from laminar flow to turbulent flow and some characteristics of chaotic attractor after the flow develops to turbulent flow, this paper studies the partial dynamic behavior and simulation of Couette-Taylor flow by using low modulus analysis method. The dynamic behavior and simulation of three-mode Lorenz equations of Couette-Taylor flow between coaxial cylinders are discussed. The evolution of bifurcation and chaos is numerically simulated and the global stability of the system is discussed.
【作者單位】： 遼寧工業(yè)大學(xué)理學(xué)院;
【基金】：國家自然科學(xué)基金(11572146) 遼寧省教育廳科研基金(L2013248) 錦州市科技專項(xiàng)基金(13A1D32)~~
【分類號】：O175
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本文編號：2242597