矩形纳米管道内的电动能量转换效率
发布时间：2018-07-20 09:41
【摘要】：本文在矩形纳米管道内,研究了流体的电势、速度、流向势以及电动能量转换效率.通过分离变量法求解了电势和速度分别满足的泊松玻尔兹曼(Poisson-Boltzmann)方程和纳维斯托克斯(Navier-Stokes)方程,得到了矩形纳米管道内流体的电势、速度、流向势和电动能量转换效率的解析表达式.通过数值分析及图像的描绘,讨论了相应的无量纲参数即电动宽度K(矩形纳米管道宽度与双电层厚度的比值)、管道壁面Zeta势ζ以及纳米管道的高度与宽度的展向比α等对流向势以及电动能量转换效率的影响.结果表明,当其他参数给出固定值时,随着电动宽度K的增大,流向势在减小.当K的值相对较小时,电动能量转换效率随着电动宽度K的增加而变大;当K取值较大时,电动能量转换效率随着K的增大而减小.此外,流向势随着管道的展向比α的增大而变大.对于取值较小的K,电动能量转换效率随着α增加而变大;当K取值较大时,电动能量转换效率随着α的增加而减小.最后,当壁面Zeta势ζ增大,相应的流向势变大以及电动能量转换效率也有显著的增加.
[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.
【学位授予单位】：内蒙古大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：TB383.1
本文编号：2133132
[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.
【学位授予单位】：内蒙古大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：TB383.1
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