【摘要】：本文在矩形納米管道內,研究了流體的電勢、速度、流向勢以及電動能量轉換效率.通過分離變量法求解了電勢和速度分別滿足的泊松玻爾茲曼(Poisson-Boltzmann)方程和納維斯托克斯(Navier-Stokes)方程,得到了矩形納米管道內流體的電勢、速度、流向勢和電動能量轉換效率的解析表達式.通過數(shù)值分析及圖像的描繪,討論了相應的無量綱參數(shù)即電動寬度K(矩形納米管道寬度與雙電層厚度的比值)、管道壁面Zeta勢ζ以及納米管道的高度與寬度的展向比α等對流向勢以及電動能量轉換效率的影響.結果表明,當其他參數(shù)給出固定值時,隨著電動寬度K的增大,流向勢在減小.當K的值相對較小時,電動能量轉換效率隨著電動寬度K的增加而變大;當K取值較大時,電動能量轉換效率隨著K的增大而減小.此外,流向勢隨著管道的展向比α的增大而變大.對于取值較小的K,電動能量轉換效率隨著α增加而變大;當K取值較大時,電動能量轉換效率隨著α的增加而減小.最后,當壁面Zeta勢ζ增大,相應的流向勢變大以及電動能量轉換效率也有顯著的增加.
[Abstract]:In this paper, the potential, velocity, flow potential and electric energy conversion efficiency of the fluid are studied in a rectangular nanoscale pipeline. The Poisson Boltzmann (Poisson-Boltzmann) equation and the Navier-Stokes equation are solved by the separation of variables. The potential and velocity of the fluid in the rectangular nanoscale pipe are obtained. Through numerical analysis and image description, the corresponding non dimensional parameters, such as the electric width K (the ratio of the width of the rectangular nanoscale pipe to the thickness of the double layer), the Zeta potential zeta of the pipe wall and the direction ratio of the height to the width of the nanoscale, and the electromotive force, are discussed by numerical analysis and image description. The effect of energy conversion efficiency shows that when the other parameters give a fixed value, the flow potential decreases with the increase of the electric width K. When the value of K is relatively small, the efficiency of the electric energy conversion increases with the increase of the K of the electric width. When the value of the K is larger, the efficiency of the electric energy conversion decreases with the increase of the K. In addition, the flow direction potential For the smaller K, the efficiency of the electric energy conversion increases with the increase of alpha. When the value of K is larger, the efficiency of the electric energy conversion decreases with the increase of the alpha. Finally, when the Zeta potential zeta increases, the corresponding flow potential becomes larger and the efficiency of the electric energy conversion also increases significantly.
【學位授予單位】：內蒙古大學
【學位級別】：碩士
【學位授予年份】：2017
【分類號】：TB383.1

【參考文獻】

相關期刊論文 前5條

1 Zhaodong DING;Yongjun JIAN;Liangui YANG;;Time periodic electroosmotic flow of micropolar fluids through microparallel channel[J];Applied Mathematics and Mechanics(English Edition);2016年06期

2 楊大勇;王陽;;微通道中電滲流及微混合的離子濃度效應[J];應用數(shù)學和力學;2015年09期

3 Jie Su;Yong-Jun Jian;Long Chang;Quan-Sheng Liu;;Transient electro-osmotic and pressure driven flows of two-layer fluids through a slit microchannel[J];Acta Mechanica Sinica;2013年04期

4 長龍;菅永軍;;平行板微管道間Maxwell流體的高Zeta勢周期電滲流動[J];物理學報;2012年12期

5 龔磊;吳健康;王蕾;晁侃;;微通道周期流動電位勢及電粘性效應[J];應用數(shù)學和力學;2008年06期

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本文編號：2133132