Two-Layer Electroosmotic Flow in a Parallel Plate Microchannel with Sinusoidal Corrugation

Two-Layer Electroosmotic Flow in a Parallel Plate Microchannel with Sinusoidal Corrugation

This study investigates the electroosmotic flow (EOF) of a two-layer Newtonian fluid system in a parallel plate microchannel with sinusoidal corrugated walls. The upper fluid is conducting, while the lower fluid is nonconducting. This analysis is performed under the Debye–Hückel approximation, utili...

Full description

Saved in:
Bibliographic Details
Published in:Micromachines (Basel) Vol. 15; no. 11; p. 1315
Main Authors: Chang, Long, Buren, Mandula, Bai, Geming, Sun, Yanjun, Jian, Yongjun
Format: Journal Article
Language:English
Published: Basel MDPI AG 29-10-2024
MDPI
Subjects:
Corrugated plates
Corrugation
Efficiency
Electric fields
Electroosmosis
Energy consumption
Finite volume method
Flow velocity
Fluid mechanics
Heat transfer
Influence
Microchannels
Newtonian fluids
Numerical analysis
Parallel plates
Pressure effects
Roughness
Sine waves
Velocity distribution
Viscosity ratio
Zeta potential
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This study investigates the electroosmotic flow (EOF) of a two-layer Newtonian fluid system in a parallel plate microchannel with sinusoidal corrugated walls. The upper fluid is conducting, while the lower fluid is nonconducting. This analysis is performed under the Debye–Hückel approximation, utilizing perturbation expansion and the separation of variables. The potential distribution, velocity field, and the dependence of average velocity on roughness are derived. It is observed that the velocity distribution w(x, y), is significantly influenced by the phase difference θ between the corrugations on the upper and lower walls. The velocity w(x, y) decreases with an increase in the viscosity ratio μr of the bottom to top fluid, and w(x, y) is directly proportional to the dimensionless pressure gradient G and the zeta potential ratio ζ. The variation of the average velocity increment (roughness function) u2m related to wall roughness tends to decrease with the increase of the corrugation wave number λ, the electrokinetic width K, the depth ratio hr of the bottom to top fluid, the zeta potential ratio ζ and the dimensionless pressure gradient G; and increases with the increase of the viscosity ratio μr of the bottom to top fluid. Furthermore, the effect of uI2m is smaller than that of uII2m.
ISSN:2072-666X
2072-666X
DOI:10.3390/mi15111315