{"title":"Transient electro-osmotic flow of generalized Maxwell fluids in a straight pipe of circular cross section","authors":"Shaowei Wang, Moli Zhao, Xicheng Li","doi":"10.2478/s11534-014-0463-x","DOIUrl":null,"url":null,"abstract":"The transient electro-osmotic flow of a generalized Maxwell fluid with fractional derivative in a narrow capillary tube is examined. With the help of an integral transform method, analytical expressions are derived for the electric potential and transient velocity profile by solving the linearized Poisson-Boltzmann equation and the Navier-Stokes equation. It was shown that the distribution and establishment of the velocity consists of two parts, the steady part and the unsteady one. The effects of relaxation time, fractional derivative parameter, and the Debye-Hückel parameter on the generation of flow are shown graphically and analyzed numerically. The velocity overshoot and oscillation are observed and discussed.","PeriodicalId":50985,"journal":{"name":"Central European Journal of Physics","volume":"6 1","pages":"445-451"},"PeriodicalIF":0.0000,"publicationDate":"2014-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"27","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Central European Journal of Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2478/s11534-014-0463-x","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 27
Abstract
The transient electro-osmotic flow of a generalized Maxwell fluid with fractional derivative in a narrow capillary tube is examined. With the help of an integral transform method, analytical expressions are derived for the electric potential and transient velocity profile by solving the linearized Poisson-Boltzmann equation and the Navier-Stokes equation. It was shown that the distribution and establishment of the velocity consists of two parts, the steady part and the unsteady one. The effects of relaxation time, fractional derivative parameter, and the Debye-Hückel parameter on the generation of flow are shown graphically and analyzed numerically. The velocity overshoot and oscillation are observed and discussed.
研究了具有分数阶导数的广义麦克斯韦流体在窄毛细管中的瞬态电渗透流动。通过求解线性化的泊松-玻尔兹曼方程和纳维-斯托克斯方程，利用积分变换方法导出了电势和瞬态速度剖面的解析表达式。结果表明，速度的分布和建立由两部分组成，即稳定部分和非稳定部分。用图形表示了松弛时间、分数阶导数参数和debye - h ckel参数对流动产生的影响，并进行了数值分析。对速度超调和振荡进行了观察和讨论。
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
