(1. 昆明理工大學(xué) 材料與冶金工程學(xué)院, 昆明 650093；
2. 井岡山學(xué)院 機(jī)械系, 吉安 343009)
摘 要: 利用海島模型導(dǎo)出金屬流體中氣泡長(zhǎng)大的連續(xù)性方程、 運(yùn)動(dòng)方程和擴(kuò)散質(zhì)量守恒方程, 與氣泡表面的質(zhì)量守恒、 西華特定律和理想氣體狀態(tài)方程構(gòu)成氣泡長(zhǎng)大動(dòng)力學(xué)方程組, 在確定粘度、 擴(kuò)散系數(shù)和表面張力以及忽略部分慣性力的基礎(chǔ)上, 對(duì)動(dòng)力學(xué)方程組進(jìn)行了求解, 得到金屬流體中氣泡長(zhǎng)大動(dòng)力學(xué)方程, 可用于描述泡沫鋁氣泡長(zhǎng)大過程中時(shí)間、 溫度、 第二相質(zhì)量分?jǐn)?shù)及壓強(qiáng)各參數(shù)對(duì)氣泡半徑變化的影響, 是金屬流體中氣泡演變過程動(dòng)力學(xué)的首次理論描述。
關(guān)鍵字: 泡沫鋁； 海島模型； 金屬流體； 動(dòng)力學(xué)； 氣泡長(zhǎng)大
（1. Faculty of Materials and Metallurgical Engineering,
Kunming University of Science and Technology, Kunming 650093, China;
2. Department of Mechanical Engineering, Jinggangshan University,
Ji'an 343009, China）
Abstract: The continuity equation, motion equation and mass diffusion conservation equation of bubble growth were deduced from island model. The three equations are combined with other laws including mass conservation equation of the bubble surface, Sievert's law and ideal gas law to form the bubble growth dynamics equations in the metal melt. This bubble growth dynamics equation is solved after confirming viscosity, diffusion coefficient, surface tension of metal melt and neglecting inertia partly. With this bubble growth dynamics equation, firstly, the model of bubble growth in metal melt was published, the effects of processing parameters of foamed aluminum, such as foaming time, foaming temperature, mass fraction of the second phase and pressure on the evaluation of bubble radius, can be predicted correctly.
Key words: aluminum foam; island model; metallic melt; dynamics; bubble growth
