本文選題：混合流體 + Rayleigh-Benard對流��； 參考：《應用力學學報》2016年06期

【摘要】：通過二維流體力學的擾動方程組的數(shù)值模擬,探討了分離比ψ=-0.2時,長高比Γ=30的矩形腔體中混合流體Rayleigh-Benard對流發(fā)生點附近擾動的成長和斑圖的形成。結果表明:溫度場線性成長階段擾動的成長率γ_m是相對瑞利數(shù)r的函數(shù),成長率γ_m隨著相對瑞利數(shù)r的變化關系式為γ_m=0.9351r~(5.2039);在對流發(fā)生點附近的瞬態(tài)斑圖取決于相對瑞利數(shù)r。給出了不同的相對瑞利數(shù)r(r分別為1.5、1.7、1.8)的情況下從小振幅到大振幅穩(wěn)定狀態(tài)的過渡過程中的兩種不同的對流斑圖,并討論了其動力學特性。研究發(fā)現(xiàn),當r較大時,存在行波與定常波共存的現(xiàn)象。
[Abstract]:Based on the numerical simulation of the perturbation equations of two-dimensional hydrodynamics, the growth of disturbances and the formation of patterns near the Rayleigh-Benard convection point of mixed fluid in a rectangular cavity with a separation ratio of 蠄 -0.2 and a ratio of length to height 螕 ~ (30) are discussed. The results show that the growth rate of the disturbance in the linear growth stage of the temperature field is a function of the relative Rayleigh number r, and the relationship between the growth rate 緯 _ S _ m and the relative Rayleigh number r is expressed as 緯 _ m _ (0.9351R) 5.20390.The transient pattern near the point where the convection occurs depends on the relative Rayleigh number r. Two different convection patterns in the transition from small amplitude to large amplitude stable state with different relative Rayleigh number r = 1. 5 ~ 1. 7 ~ 1. 8) are given, and their dynamic characteristics are discussed. It is found that there exists the coexistence of traveling wave and steady wave when r is larger.
【作者單位】： 西安理工大學西北旱區(qū)生態(tài)水利工程國家重點實驗室培育基地;河南省開封市水利建筑勘察設計院;
【基金】：國家自然科學基金(10872164) 陜西省重點學科建設專項資金(00X901)
【分類號】：O35

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