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Steady, Laminar Flow Between Parallel Plates

Steady, Laminar Flow Between Parallel Plates

Understanding steady, laminar flow between parallel plates is essential for analyzing and designing flow in narrow rectangular channels, commonly found in various water conveyance and drainage systems. The Navier-Stokes equations govern fluid motion and are generally challenging to solve due to their nonlinearity. However, simplifications are possible in certain cases, like the steady laminar flow between parallel plates. For this scenario, we assume steady, incompressible, laminar flow.

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Updated: Oct 20, 2025

Generation and Control of Electrohydrodynamic Flows in Aqueous Electrolyte Solutions

Generation and Control of Electrohydrodynamic Flows in Aqueous Electrolyte Solutions

Published on: September 7, 2018

Electrokinetics of polymeric fluids in narrow rectangular confinements.

Aditya Natu¹, Uddipta Ghosh¹

¹Discipline of Mechanical Engineering, Indian Institute of Technology Gandhinagar, Gujarat-382355, India. uddipta.ghosh@iitgn.ac.in.

|September 15, 2021

Summary

Polymeric liquid flow in rectangular channels is significantly impacted by electric fields and viscoelasticity. These factors enhance flow rate and streaming potential, with channel aspect ratio playing a key role.

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Last Updated: Oct 20, 2025

Generation and Control of Electrohydrodynamic Flows in Aqueous Electrolyte Solutions

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Published on: September 30, 2014

Area of Science:

Fluid Mechanics
Rheology
Electrokinetics

Background:

Previous studies often use idealized parallel plate channels, unlike the rectangular ducts common in experiments.
Understanding complex fluid behavior in realistic geometries is crucial for device applications.

Purpose of the Study:

To analyze electroosmotic and pressure-driven flows of polymeric liquids in rectangular confinements.
To investigate the influence of viscoelasticity and electrical double layers on flow dynamics and streaming potential.

Main Methods:

Utilized two non-linear viscoelastic models: simplified exponential Phan-Thien-Tanner (sePTT) and Giesekus.
Analyzed combined electroosmotic and pressure-driven flows, and streaming potential from mechanically driven flow.
Investigated the impact of channel aspect ratio and electric field strength.

Main Results:

Electric fields strongly increase flow rate with field strength and fluid viscoelasticity.
Viscoelasticity and shear thinning significantly enhance streaming potential compared to Newtonian fluids.
Channel aspect ratio has a greater influence on throughput and streaming potential for highly viscoelastic fluids.

Conclusions:

Polymeric liquid flow in rectangular channels is highly sensitive to electric fields and viscoelastic properties.
Viscoelasticity amplifies streaming potential and throughput, especially in channels with specific aspect ratios.
Secondary flows observed in Giesekus fluids are influenced by electric field strength in combined flow scenarios.