Transient flow of electrolyte solution in porous media with membranes fitted at the upper wall surface and lower charged surface

IF 2.3 4区 工程技术 Q2 INSTRUMENTS & INSTRUMENTATION Microfluidics and Nanofluidics Pub Date : 2024-09-28 DOI:10.1007/s10404-024-02761-9
Abhishesh Pandey, Ashvani Kumar, Dharmendra Tripathi, Kalpna Sharma
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Abstract

The flow analysis of electrolyte solution in microchannel/capillary is essential in various applications of health care such as dialysis and diagnosis processes of biological fluids/samples. To investigate the flow analysis in a homogeneous and isotropic porous microchannel with two membranes fitted at the upper wall surface, a novel biophysical model is presented mathematically. The lower wall surface is kept stationary and negatively charged to analyse the influence of the electroosmosis mechanism. The membranes have a self-propagating pumping process with varying amplitude and phase lag. The continuity and momentum equations are considered to describe the fluid flow and the Poisson–Boltzmann equation is taken to analyse the distribution of the electric potential for the electrolyte solution in the normal direction to a charged surface. To derive the governing equations, we have considered the approximation of low Reynolds number and Debye-Hückel linearization. Using MATLAB coding, key results like velocity, pressure difference, skin friction, volumetric flow rate, and stream function are computed under the influence of significant parameters. Present study finds that the movement of the electrolyte solution can be driven by membrane-based pumping at a small scale and further regulated by electroosmosis. The resistance due to the porous medium impacts the velocity and volumetric flow rate but this resistance can be mitigated by increasing the strength of the external electric field. This analysis is potentially useful for developing membrane-based microfluidic devices to analyse the biological flow at the micro-scale.

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电解质溶液在多孔介质中的瞬态流动,上壁表面和下带电表面装有薄膜
微通道/毛细管中电解质溶液的流动分析在透析和生物液体/样本诊断过程等各种医疗应用中至关重要。为了研究在上壁面装有两层膜的均质各向同性多孔微通道中的流动分析,我们用数学方法提出了一个新的生物物理模型。下壁表面保持静止并带负电,以分析电渗机制的影响。膜具有不同振幅和相位滞后的自蔓延抽水过程。连续性方程和动量方程用于描述流体流动,泊松-波尔兹曼方程用于分析电解质溶液在带电表面法线方向的电动势分布。为了推导控制方程,我们考虑了低雷诺数近似和 Debye-Hückel 线性化。使用 MATLAB 编码,计算了重要参数影响下的速度、压差、表皮摩擦、体积流量和流函数等关键结果。目前的研究发现,电解质溶液的运动可以通过小规模的膜泵驱动,并通过电渗进一步调节。多孔介质产生的阻力会影响流速和容积流量,但这种阻力可以通过增加外部电场强度来缓解。这项分析可能有助于开发基于膜的微流体设备,以分析微尺度的生物流动。
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来源期刊
Microfluidics and Nanofluidics
Microfluidics and Nanofluidics 工程技术-纳米科技
CiteScore
4.80
自引率
3.60%
发文量
97
审稿时长
2 months
期刊介绍: Microfluidics and Nanofluidics is an international peer-reviewed journal that aims to publish papers in all aspects of microfluidics, nanofluidics and lab-on-a-chip science and technology. The objectives of the journal are to (1) provide an overview of the current state of the research and development in microfluidics, nanofluidics and lab-on-a-chip devices, (2) improve the fundamental understanding of microfluidic and nanofluidic phenomena, and (3) discuss applications of microfluidics, nanofluidics and lab-on-a-chip devices. Topics covered in this journal include: 1.000 Fundamental principles of micro- and nanoscale phenomena like, flow, mass transport and reactions 3.000 Theoretical models and numerical simulation with experimental and/or analytical proof 4.000 Novel measurement & characterization technologies 5.000 Devices (actuators and sensors) 6.000 New unit-operations for dedicated microfluidic platforms 7.000 Lab-on-a-Chip applications 8.000 Microfabrication technologies and materials Please note, Microfluidics and Nanofluidics does not publish manuscripts studying pure microscale heat transfer since there are many journals that cover this field of research (Journal of Heat Transfer, Journal of Heat and Mass Transfer, Journal of Heat and Fluid Flow, etc.).
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