具有聚电解质层圆柱形纳米管道中的电动能量转换效率
发布时间：2018-10-14 18:05
【摘要】：柔性纳米管道是指壁面处被添加一层聚电解质层的纳米管道,该聚电解质层由一些包含某种固定电荷的大分子构成.本文利用贝塞尔函数分别求解了低Zeta势近似下的线性化Poisson-Boltzmann方程和无滑移条件下的柯西动量方程,给出了电解质溶液在圆柱形柔性纳米管道中的静电势、流向势以及电动能量转换效率的解析表达式.在表面Zeta势和管径取值都相同的情形下,比较了圆柱形柔性和刚性纳米管道中的流向势和电动能量转换效率.结果表明,无论是流向势,还是电动能量转换效率,柔性纳米管道中的数值明显较大.其中,柔性纳米管道中电解质溶液的电动能量转换效率高达刚性纳米管道中转换效率的1.5到3倍.
[Abstract]:Flexible nanotubes are nanotubes in which a layer of polyelectrolyte layer is added to the wall. The polyelectrolyte layer is composed of some macromolecules containing a certain fixed charge. In this paper, the linearized Poisson-Boltzmann equation under low Zeta potential approximation and Cauchy momentum equation without slippage are solved by using Bessel function, respectively. The electrostatic potential of electrolyte solution in cylindrical flexible nanotubes is given. The analytical expressions of the flow potential and the efficiency of electromotive energy conversion. When the surface Zeta potential and pipe diameter are the same, the flow direction potential and electrokinetic energy conversion efficiency in cylindrical flexible and rigid nanotubes are compared. The results show that the value of the flexible nanotubes is obviously larger both in the flow direction potential and in the electrokinetic energy conversion efficiency. The electric energy conversion efficiency of electrolyte solution in flexible nanotubes is 1.5 to 3 times higher than that in rigid nanotubes.
【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;O646
[Abstract]:Flexible nanotubes are nanotubes in which a layer of polyelectrolyte layer is added to the wall. The polyelectrolyte layer is composed of some macromolecules containing a certain fixed charge. In this paper, the linearized Poisson-Boltzmann equation under low Zeta potential approximation and Cauchy momentum equation without slippage are solved by using Bessel function, respectively. The electrostatic potential of electrolyte solution in cylindrical flexible nanotubes is given. The analytical expressions of the flow potential and the efficiency of electromotive energy conversion. When the surface Zeta potential and pipe diameter are the same, the flow direction potential and electrokinetic energy conversion efficiency in cylindrical flexible and rigid nanotubes are compared. The results show that the value of the flexible nanotubes is obviously larger both in the flow direction potential and in the electrokinetic energy conversion efficiency. The electric energy conversion efficiency of electrolyte solution in flexible nanotubes is 1.5 to 3 times higher than that in rigid nanotubes.
【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;O646
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