TY - JOUR
T1 - Electroosmotic pumping between two immiscible electrical conducting fluids controlled by interfacial phenomena
AU - Matías, A.
AU - Bautista, O.
AU - Méndez, F.
AU - Escandón, P.
N1 - Publisher Copyright:
© 2018, Isfahan University of Technology.
PY - 2018
Y1 - 2018
N2 - In this study, the isothermal electroosmotic flow of two immiscible electrical conducting fluids within a uniform circular microcapillary was theoretically examined. It was assumed that an annular layer of liquid adjacent to the inside wall of the capillary exists, and this in turn surrounds the inner flow of a second liquid. The theoretical analysis was performed by using the linearized Poisson-Boltzmann equations, and the momentum equations for both fluids were analytically solved. The interface between the two fluids was considered uniform, hypothesis which is only valid for very small values of the capillary number, and shear and Maxwell stresses were considered as the boundary condition. In addition, a zeta potential difference and a charge density jump were assumed at the interface. In this manner, the electroosmotic pumping is governed by the previous interfacial effects, a situation that has not previously been considered in the specialized literature. The simplified equations were nondimensionalized, and analytical solutions were determined to describe the electric potential distribution and flow field in both the fluids. The solution shows the strong influence of several dimensionless parameters, such as μr, εr, ζw, Δψ and Qsf, and κ1,2, on the volumetric flow. The parameters represent the ratio of viscosity, the ratio of electric permittivity of both fluids, the dimensionless zeta potential of the microcapillary wall, the dimensionless charge density jump and charge density between both fluids, and the electrokinetic parameters, respectively.
AB - In this study, the isothermal electroosmotic flow of two immiscible electrical conducting fluids within a uniform circular microcapillary was theoretically examined. It was assumed that an annular layer of liquid adjacent to the inside wall of the capillary exists, and this in turn surrounds the inner flow of a second liquid. The theoretical analysis was performed by using the linearized Poisson-Boltzmann equations, and the momentum equations for both fluids were analytically solved. The interface between the two fluids was considered uniform, hypothesis which is only valid for very small values of the capillary number, and shear and Maxwell stresses were considered as the boundary condition. In addition, a zeta potential difference and a charge density jump were assumed at the interface. In this manner, the electroosmotic pumping is governed by the previous interfacial effects, a situation that has not previously been considered in the specialized literature. The simplified equations were nondimensionalized, and analytical solutions were determined to describe the electric potential distribution and flow field in both the fluids. The solution shows the strong influence of several dimensionless parameters, such as μr, εr, ζw, Δψ and Qsf, and κ1,2, on the volumetric flow. The parameters represent the ratio of viscosity, the ratio of electric permittivity of both fluids, the dimensionless zeta potential of the microcapillary wall, the dimensionless charge density jump and charge density between both fluids, and the electrokinetic parameters, respectively.
KW - Circular microcapillary
KW - Electroosmosis
KW - Immiscible conducting fluids
KW - Interfacial stress
KW - Maxwell stress
UR - http://www.scopus.com/inward/record.url?scp=85046730373&partnerID=8YFLogxK
U2 - 10.29252/jafm.11.03.27778
DO - 10.29252/jafm.11.03.27778
M3 - Artículo
SN - 1735-3572
VL - 11
SP - 667
EP - 678
JO - Journal of Applied Fluid Mechanics
JF - Journal of Applied Fluid Mechanics
IS - 3
ER -