AI Article Synopsis
- This study explores how the Weissenberg number (often a key factor in fluid dynamics) affects the second-order velocity structure function in Oldroyd-B fluids when subjected to electric fields.
- It builds on previous findings, particularly on how differences in zeta potentials can contribute to turbulence, linking this to turbulent flow dynamics through a new mathematical framework.
- The research also connects recent scaling laws for velocity and scalar structure functions in electrokinetic turbulence, establishing a positive relationship that could improve the design of microfluidic devices using these principles.
Article Abstract
This study attempts to extend previous research on electrokinetic turbulence (EKT) in Oldroyd-B fluid by investigating the relationship between the Weissenberg number ( ) and the second-order velocity structure function ( ) under applied electric fields. Inspired by Sasmal's demonstration in Sasmal (2022) of how heterogeneous zeta potentials induce turbulence above a critical , we develop a mathematical framework linking 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 and , for a length scale , and , where is a velocity fluctuations quantity and denotes the time relaxation parameter. This work establishes a positive correlation between 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.
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| http://dx.doi.org/10.1002/elps.202400175 | DOI Listing |
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- It builds on previous findings, particularly on how differences in zeta potentials can contribute to turbulence, linking this to turbulent flow dynamics through a new mathematical framework.
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