Hele-Shaw cell中的密度差對流現象;Density-driven convection in Hele-Shaw cell

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题名:	Hele-Shaw cell中的密度差對流現象;Density-driven convection in Hele-Shaw cell
作者:	卿家豪;Ching, Jia-Hau
贡献者:	物理學系
关键词:	密度差對流;雷利數;Density-driven convection;Hele-Shaw cell;Rayleigh number;Nusselt number
日期:	2019-07-15
上传时间:	2019-09-03 15:00:14 (UTC+8)
出版者:	國立中央大學
摘要:	經由碳封存技術的啟發，本實驗為一組Hele-Shaw cell裝置類比二氧化碳在地下水層的對流現象。簡述孔隙介質流與類二維流體之間的關係及前人文獻的結果後，依此架設裝置及流體系統。在過錳酸鉀(KMnO4)粒子與水的交互作用下，清楚觀測到指頭狀對流的動態過程，並加以定性上的描述。我們分析指狀流在控制滲透率下的行為，此包括粗粒化過程、對流起始時間、指狀流平均距離，及溶解速率，此參數範圍相當於模擬雷利數(Ra) 2×〖10〗^4 ~ 8.26×〖10〗^6下的流體行為。透過計算努塞爾特數(Nu)得出，在此Ra區間，溶質的溶解速率不因Ra的改變有顯著的變化。;Inspired by the flow process of carbon capture and storage(CCS) technology in saline structure, we set up an analogy fluid system in homogeneous porous media to mimic the supercritical \ce{CO2} mixing dynamics with brine. Before getting into the details of the experiment, the theoretical background and previous works are presented first, and then the experimental setup of Hele-Shaw cell is shown. By observing the convective flow due to dissolution, the description of mixing dynamics is given. We also examine the coarsening process, onset time of convection, wavelength of fingers, and the rate of dissolution with Ra the Rayleigh number which is in the range of $2 \times 10^{4} \leq Ra \leq 8.26 \times 10^{6}$. Through calculating Nusselt number, $Nu$, the dimensionless convective flux, which is expected to predict the dissolution process, we find that the dissolution flux is not influenced significantly in this range of $Ra$ number. The result implies the geometrical structure plays a minor role in high $Ra$ for convective dissolution.
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