# Investigation of Three Immiscible Fluids in a Microchannel Accounting for the Pressure Gradient and the Electroosmotic Flow

### Nicolas La Roche-Carrier, Guyh Dituba Ngoma, Fouad Erchiqui, Ibrahim Hamani

#### Abstract

This study deals with the investigation of three immiscible fluids in a microchannel consisting of two parallel plates. These fluids were composed of two electric conducting fluids and one electric nonconducting fluid. The concept of pumping a nonconducting fluid using interfacial viscous shear stress was applied accounting for the effect of the electroosmosis and pressure gradient. The electric potential and the flow parameters were found resolving the Poisson-Boltzmann equation and the modified Navier-Stokes equations for a hydraulic steady fully-developed laminar flow of an incompressible fluid. The results achieved revealed the influence of the wall and interfacial zeta potentials, the pressure difference, and the dynamic fluid viscosity ratio on the flow characteristics of the three immiscible fluids. The developed approach was compared with a model of two immiscible flows to highlight the relevance of this work.

Download#### Paper Citation

#### in Harvard Style

La Roche-Carrier N., Dituba Ngoma G., Erchiqui F. and Hamani I. (2017). **Investigation of Three Immiscible Fluids in a Microchannel Accounting for the Pressure Gradient and the Electroosmotic Flow** . In *Proceedings of the 7th International Conference on Simulation and Modeling Methodologies, Technologies and Applications - Volume 1: SIMULTECH,* ISBN 978-989-758-265-3, pages 428-433. DOI: 10.5220/0006481004280433

#### in Bibtex Style

@conference{simultech17,

author={Nicolas La Roche-Carrier and Guyh Dituba Ngoma and Fouad Erchiqui and Ibrahim Hamani},

title={Investigation of Three Immiscible Fluids in a Microchannel Accounting for the Pressure Gradient and the Electroosmotic Flow},

booktitle={Proceedings of the 7th International Conference on Simulation and Modeling Methodologies, Technologies and Applications - Volume 1: SIMULTECH,},

year={2017},

pages={428-433},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0006481004280433},

isbn={978-989-758-265-3},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 7th International Conference on Simulation and Modeling Methodologies, Technologies and Applications - Volume 1: SIMULTECH,

TI - Investigation of Three Immiscible Fluids in a Microchannel Accounting for the Pressure Gradient and the Electroosmotic Flow

SN - 978-989-758-265-3

AU - La Roche-Carrier N.

AU - Dituba Ngoma G.

AU - Erchiqui F.

AU - Hamani I.

PY - 2017

SP - 428

EP - 433

DO - 10.5220/0006481004280433