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Steady viscoelastic fluid flow between parallel plates under electro-osmotic forces: Phan-Thien-Tanner model
S Dhinakaran1, A M Afonso, M A Alves
1CEFT, Departamento de Engenharia Química, Faculdade de Engenharia da Universidade do Porto, Rua Dr. Robert Frias, 4200-465 Porto, Portugal. dhina@fe.up.pt
Journal of Colloid and Interface Science
|February 16, 2010
Summary
This study analyzes electro-osmotic flow of viscoelastic fluids using the Phan-Thien-Tanner model. It presents critical flow parameters for microchannels, offering insights into fluid behavior under electrical fields.
Area of Science:
- Fluid mechanics
- Rheology
- Electrokinetics
Background:
- Investigating electro-osmotic flow (EOF) is crucial for microfluidic devices.
- Viscoelastic fluids exhibit complex flow behaviors not captured by Newtonian models.
- The Phan-Thien-Tanner model describes non-Newtonian fluid properties, including normal stress differences.
Purpose of the Study:
- To analytically investigate the electro-osmotic flow of a viscoelastic fluid between parallel plates.
- To incorporate the Phan-Thien-Tanner rheological model and nonlinear Poisson-Boltzmann equation.
- To determine critical parameters for steady, fully developed flow in microchannels.
Main Methods:
- Analytical solution of fluid flow equations.
- Application of the Phan-Thien-Tanner viscoelastic model with Gordon-Schowalter derivative.
- Inclusion of nonlinear Poisson-Boltzmann equation for electrical double-layer analysis.
- Analysis of velocity and stress profiles within the microchannel.
Main Results:
- Detailed velocity and stress component profiles were obtained for various flow parameters.
- The study derived equations for critical shear rates.
- Maximum electrical potentials for maintaining steady flow were determined.
Conclusions:
- The Phan-Thien-Tanner model provides a framework for understanding EOF in viscoelastic fluids.
- Critical flow parameters are essential for designing and controlling microfluidic systems.
- The findings offer insights into the interplay between viscoelasticity and electrokinetics.
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