矩形纳米管道中的电动能量转换效率

发布时间：2019-01-26 08:20

【摘要】：利用分离变量法,研究了矩形纳米管道内流体的流向势及电动能量转换效率.通过求解电势满足的Poisson-Boltzmann(泊松-玻尔兹曼)方程和速度满足的Navier-Stokes(纳维-斯托克斯)方程,得到了矩形纳米管道内流体的流向势和电动能量转换效率的解析表达式.通过数值计算,分析了电动宽度K(矩形管道的宽度与双电层厚度的比值)、纳米管道高度与宽度的展向比α以及壁面Zeta势ζ等无量纲参数对流向势及电动能量转换效率的影响.结果表明,当其他参数固定时,流向势随K的增加而减小.当K较小时,电动能量转换效率随K的增大而增大;当K较大时,电动能量转换效率随K的增大而减小.此外,流向势随展向比α的增大而变大.对于较小的K,电动能量转换效率随α的增大而变大;当K较大时,电动能量转换效率随α增大而减小.最后,当壁面电势ζ增大,流向势变大,相应的电动能量转换效率有显著的增加.
[Abstract]:The flow direction potential and electrokinetic energy conversion efficiency of fluid in rectangular nanotubes were studied by the method of separating variables. By solving the Poisson Boltzmann (Poisson Boltzmann) equation and the velocity satisfied Navier-Stokes (Navier-Stokes) equation, the analytical expressions of the flow direction potential and the energy conversion efficiency of the fluid in rectangular nanotubes are obtained. Through numerical calculation, the electric width K (the ratio of the width of rectangular pipe to the thickness of double electric layer) is analyzed. The effects of dimensionless parameters such as height to width ratio 伪 and wall Zeta potential 味 on the flow direction potential and the efficiency of electrokinetic energy conversion are investigated. The results show that the flow potential decreases with the increase of K when other parameters are fixed. When K is small, the efficiency of electric energy conversion increases with the increase of K, and decreases with the increase of K. In addition, the flow direction potential increases with the increase of the aspect ratio 伪. For the smaller K, the electric energy conversion efficiency increases with the increase of 伪, and decreases with the increase of 伪 when K is larger. Finally, when the wall potential 味 increases, the flow direction potential becomes larger, and the corresponding energy conversion efficiency increases significantly.
【作者单位】：内蒙古大学数学科学学院;
【基金】：国家自然科学基金(11472140) 内蒙古自治区高等学校青年科技英才支持计划(NJYT-13-A02) 非线性力学国家重点实验室开放基金~~
【分类号】：O35;TB383.1

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