随Zeta电位变化的微通道中Casson流体电渗流的解析解
Analytical solution for electroosmotic flow of Casson fluid in varying microchannel with Zeta potential
A.SRIVALLY 1M.REZA1
作者信息
- 1. Department of Mathematics,GITAM Deemed to be University,Hyderabad-502329,India
- 折叠
摘要
本文提出了Casson流体在非均匀带电微通道中电渗透流动的解析解.目标是确定微通道剪切和非剪切区域速度和体积流量的解析表达,并描述这些区域的压力和温度分布.利用渐近逼近法将Casson流体流动的控制方程简化为无量纲形式,然后对其进行解析求解.使用余弦函数解析表达了剪切和非剪切区域的速度和体积流量.用图形表示了剪切和非剪切区域的压力、速度、流量和温度分布.结果表明,由于压力梯度和体积流量与其他参数的响应相反,随着压力梯度的上升,体积流量发生变化.此外,图示了壁形振幅和焦耳加热下的温度分布.本文结果对使用Casson流体微流控装置的各种应用中的设计和优化具有重要意义.
Abstract
This study presents an analytical solution for the electroosmotic flow of Casson fluid in a microchannel with non-uniformly charged walls.Our objective is to determine analytical expressions for velocity and volumetric flow rates in both sheared and unsheared regions of the microchannel,as well as to describe the stress and temperature distributions in these regions.Using the lubrication approximation,we reduce the governing equations of Casson fluid flow to their dimensionless forms,which we then solve analytically.We express velocities and volumetric flow rates analytically in both sheared and unsheared regions using the cosine function.Graphical representations show stress distribution,velocity distributions,flow rate distributions,and temperature distributions in the sheared and unsheared regions.Our findings reveal that there are variations in volumetric flow rate with respect to rising pressure gradients due to the opposite response of pressure gradient and flow rate compared to other parameters.Furthermore,we present graphical representations of temperature distributions with wall shape amplitude and joule heating.This analytical solution has significant implications for the design and optimization of microfluidic devices that use Casson fluids in various
关键词
Casson流体/电渗/电双层/剪切区域/非剪切区域Key words
Casson fluid/electroosmosis/electric double layer/sheared region/unsheared region引用本文复制引用
出版年
2023
NETL
NSTL
维普
万方数据