本文選題：混合流體 + Rayleigh-Benard對(duì)流��； 參考：《應(yīng)用力學(xué)學(xué)報(bào)》2016年06期

【摘要】：通過(guò)二維流體力學(xué)的擾動(dòng)方程組的數(shù)值模擬,探討了分離比ψ=-0.2時(shí),長(zhǎng)高比Γ=30的矩形腔體中混合流體Rayleigh-Benard對(duì)流發(fā)生點(diǎn)附近擾動(dòng)的成長(zhǎng)和斑圖的形成。結(jié)果表明:溫度場(chǎng)線(xiàn)性成長(zhǎng)階段擾動(dòng)的成長(zhǎng)率γ_m是相對(duì)瑞利數(shù)r的函數(shù),成長(zhǎng)率γ_m隨著相對(duì)瑞利數(shù)r的變化關(guān)系式為γ_m=0.9351r~(5.2039);在對(duì)流發(fā)生點(diǎn)附近的瞬態(tài)斑圖取決于相對(duì)瑞利數(shù)r。給出了不同的相對(duì)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(guò)渡過(guò)程中的兩種不同的對(duì)流斑圖,并討論了其動(dòng)力學(xué)特性。研究發(fā)現(xiàn),當(dāng)r較大時(shí),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(xué)西北旱區(qū)生態(tài)水利工程國(guó)家重點(diǎn)實(shí)驗(yàn)室培育基地;河南省開(kāi)封市水利建筑勘察設(shè)計(jì)院;
【基金】：國(guó)家自然科學(xué)基金(10872164) 陜西省重點(diǎn)學(xué)科建設(shè)專(zhuān)項(xiàng)資金(00X901)
【分類(lèi)號(hào)】：O35

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