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標題: 圓柱型庫耶特流動系統之奈米流體熱流數值模擬研究
Numerical Simulation on Thermal Convection of Nanofluid in Cylindrical Couette Flow
作者: 陳雅芳
Chen, Ya-Fang
關鍵字: 計算流體力學;CFD;圓柱形庫耶特流體流動;奈米流體;剪切應力;熱通量;Circular Couette flow;Nanofluid;Shear stress;Heat flux
出版社: 化學工程學系所
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奈米流體是指在基礎液體中含有100nm以下分散粒子的流體[1],此在熱傳、潤滑與醫療上都具有極大的應用價值,但當加入奈米流體可能面臨增加壁面剪切應力而磨損管線的問題。故本文嘗試建立一個暫態三維同心圓管庫耶特流動之計算流體力學架構,其中流體為乙二醇(EG)/二氧化鈦(TiO2)的奈米流體,分析系統變因對於剪切應力與熱通量之影響。本研究使用的變因為內管轉速、奈米流體粒子體積分率、奈米粒子聚集程度與壁面溫度。據此,利用L9(34)直交表配置實驗組合,並利用Chen等人[17, 18]所建立之黏度與熱傳導係數經驗式與Pak與Cho兩人[39]所提出之密度與比熱經驗式計算奈米流體性質;其次,運用有限體積法離散與隱式壓力速度耦合運算法求解體積分率和守恆方程式,以模擬奈米流體在圓形雙套管間隙中的流力與熱傳行為;最後,使用田口品質工程之靜態望小與靜態望大訊號/雜訊比分別獲得剪切應力與熱通量之因子效果。

Nanofluid is the base liquid containing dispersed particles which size is below 100nm, which have large application value of heat transfer, lubricants, and medical treatment. But we also need to face the problem that the shear stress would increase leading to wear pipeline in the same time when we added nanoparticles into the base fluid. Therefore we built an unsteady state and 3-D concentric Couette flow containing TiO2 nano-particles dispersing in the ethylene glycol fluid (EG) to analyze effects of parameters on the shear stress and the heat flux respectively. In this study, we took angular speed of the inner tube, volume fraction of particle, secondary average particle size, and wall temperature as the variables. We exploited L9(34) orthogonal array to design experiments, in which, the viscosity and thermal conductivity of nano-fluid were proposed by Chen et al [17, 18], and the density and specific heat capacity of nano-fluid were deduced by Pak and Cho [39]. The volume of fluid (VOF) and finite volume method (FVM) associated with pressure implicit with splitting of operators (PISO) were then applied to solve the volume fraction equation and conservation equations for simulating the momentum and heat transfer of nano-fluids in a gap between circular double pipes. Finally, we used static smaller-the-better ratio and static larger-the-better ratio of signal to noise (S/N ratio) in Taguchi method to obtain the factor effect on shear stress and heat flux respectively.
In comparison, the resulting velocity and shear stress profiles were consistent with the theoretical value in the radial direction, which may be used to improve the reliability of the computational fluid dynamics (CFD) in this work. Furthermore, as known from the analysis of S/N ratio in Taguchi method, it was found that influence degrees of angular speed of the inner tube, the particle volume fraction, the particle aggregation, and the wall temperature, are 32%, 27%, 23%, and 17% on the shear stress, as well as 7%, 32%, 9%, and 52% on the thermal flux, respectively.
其他識別: U0005-0108201315145300
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