TY - JOUR
T1 - Analysis of an electroosmotic flow in wavy wall microchannels using the lubrication approximation
AU - Arcos, J.
AU - Bautista, O.
AU - M´endez, F.
AU - Peralta, M.
N1 - Publisher Copyright:
© 2020. All Rights Reserved.
PY - 2020
Y1 - 2020
N2 - We present the analysis of an electroosmotic flow (EOF) of a Newtonian fluid in a wavy-wall microchannel. To describe the flow and electrical fields, the lubrication and Debye-H¨uckel approximations are used. The simplified governing equations of continuity, momentum, and Poisson-Boltzmann, together with the boundary conditions, are presented in dimensionless form. For solving the mathematical problem, numerical and asymptotic techniques were applied. The asymptotic solution is obtained in the limit of very thin electric double layers (EDLs).We show that the lubrication theory is a powerful technique for solving the hydrodynamic field in electroosmotic flows in microchannels where the amplitude of the waviness changes on the order of the mean semi-channel height. Approximate analytical expressions for the velocity components and pressure distribution are derived, and a closed formula for the volumetric flow rate is obtained.
AB - We present the analysis of an electroosmotic flow (EOF) of a Newtonian fluid in a wavy-wall microchannel. To describe the flow and electrical fields, the lubrication and Debye-H¨uckel approximations are used. The simplified governing equations of continuity, momentum, and Poisson-Boltzmann, together with the boundary conditions, are presented in dimensionless form. For solving the mathematical problem, numerical and asymptotic techniques were applied. The asymptotic solution is obtained in the limit of very thin electric double layers (EDLs).We show that the lubrication theory is a powerful technique for solving the hydrodynamic field in electroosmotic flows in microchannels where the amplitude of the waviness changes on the order of the mean semi-channel height. Approximate analytical expressions for the velocity components and pressure distribution are derived, and a closed formula for the volumetric flow rate is obtained.
KW - Wavy wall microchannel
KW - domain perturbation method
KW - electroosmotic flow
KW - lubrication theory
UR - http://www.scopus.com/inward/record.url?scp=85101803906&partnerID=8YFLogxK
U2 - 10.31349/RevMexFis.66.761
DO - 10.31349/RevMexFis.66.761
M3 - Artículo
AN - SCOPUS:85101803906
SN - 0035-001X
VL - 66
SP - 761
EP - 770
JO - Revista Mexicana de Fisica
JF - Revista Mexicana de Fisica
IS - 6
ER -