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In this paper, we develop a mathematical model for viscoelastic fluid flowing through a constant wall temperature slit type parallel plate microchannel. The flow is driven by mixed electroosmotic and pressure forces, respectively, and the rheological behavior of viscoelastic fluid is described by the simplified Phan–Thien–Tanner (sPTT). Analytical solutions for the potential distribution, flow velocity, and volumetric flow rate based on the full-scale solution for Poisson–Boltzmann equation. A comprehensive parametric analysis is conducted to examine the impact of flow parameter such as electrokinetic parameter, viz., surface potential \(\left(\overline{\zeta}\right)\) , EDL thickness \(\left(\overline{k}\right),\) and viscoelastic parameter \(\left(\varepsilon {Wi}_{k}^{2}\right)\) on hydrodynamic behavior of sPTT flow. Significant augmentation in flow rate is observed for the high zeta potential, thin EDL thickness \(\left(\overline{k}=10\right)\) , and the shear thinning characteristic of \(\varepsilon {Wi}_{k}^{2}\) under favorable pressure gradient. We anticipate that this research will offer a thorough theoretical understanding of the electrokinetic transport mechanism, which will be essential for designing microfluidic systems and devices.

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Investigating the Effect of Zeta Potential on Electroosmotic and Pressure-Driven Viscoelastic Fluid Flow in Microchannel

  • 会议论文

  • 发表日期：

    2025年

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  • Aditya Kyawal

摘要

In this paper, we develop a mathematical model for viscoelastic fluid flowing through a constant wall temperature slit type parallel plate microchannel. The flow is driven by mixed electroosmotic and pressure forces, respectively, and the rheological behavior of viscoelastic fluid is described by the simplified Phan–Thien–Tanner (sPTT). Analytical solutions for the potential distribution, flow velocity, and volumetric flow rate based on the full-scale solution for Poisson–Boltzmann equation. A comprehensive parametric analysis is conducted to examine the impact of flow parameter such as electrokinetic parameter, viz., surface potential \(\left(\overline{\zeta}\right)\) , EDL thickness \(\left(\overline{k}\right),\) and viscoelastic parameter \(\left(\varepsilon {Wi}_{k}^{2}\right)\) on hydrodynamic behavior of sPTT flow. Significant augmentation in flow rate is observed for the high zeta potential, thin EDL thickness \(\left(\overline{k}=10\right)\) , and the shear thinning characteristic of \(\varepsilon {Wi}_{k}^{2}\) under favorable pressure gradient. We anticipate that this research will offer a thorough theoretical understanding of the electrokinetic transport mechanism, which will be essential for designing microfluidic systems and devices.