Scaling Effects of the Weissenberg Number in Electrokinetic Oldroyd-B Fluid Flow Within a Microchannel

Article Type

Research Article

Publication Title

Electrophoresis

Abstract

This study attempts to extend previous research on electrokinetic turbulence (EKT) in Oldroyd-B fluid by investigating the relationship between the Weissenberg number ((Formula presented.)) and the second-order velocity structure function ((Formula presented.)) under applied electric fields. Inspired by Sasmal's demonstration in Sasmal (2022) of how heterogeneous zeta potentials induce turbulence above a critical (Formula presented.), we develop a mathematical framework linking (Formula presented.) to turbulent phenomena. Our analysis incorporates recent findings on AC (Zhao & Wang, 2017) and DC (Zhao & Wang 2019) EKT, which have defined scaling laws for velocity and scalar structure functions in the forced cascade region. Our finding shows that (Formula presented.) and (Formula presented.), for a length scale (Formula presented.), and (Formula presented.), where (Formula presented.) is a velocity fluctuations quantity and (Formula presented.) denotes the time relaxation parameter. This work establishes a positive correlation between (Formula presented.) and turbulent flow phenomena through a rigorous analysis of velocity structure functions, thereby offering a mathematical foundation for building the design and optimization of EKT-based microfluidic devices.

DOI

10.1002/elps.202400175

Publication Date

1-1-2024

Comments

Open Access; Bronze Open Access

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