Modelling two-layer nanofluid flow in a micro-channel with electro-osmotic effects by means of Buongiorno’s mode

A fully developed steady immiscible flow of nanofluid in a two-layer microchannel is studied in the presence of electro-kinetic effects. Buongiorno’s model is employed for describing the behavior of nanofluids. Different from the previous studies on two-layer channel flow of a nanofluid, the present...

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Bibliographic Details
Published in:Applied mathematics and mechanics 2020, Vol.41 (1), p.83-104
Main Authors: Niazi, M. D. K., Xu, Hang
Format: Article
Language:English
Subjects:
Applications of Mathematics
Channel flow
Classical Mechanics
Computational fluid dynamics
Differential equations
Electric fields
Fluid flow
Fluid- and Aerodynamics
Mathematical Modeling and Industrial Mathematics
Mathematical models
Mathematics
Mathematics and Statistics
Microchannels
Nanofluids
Nanoparticles
Ordinary differential equations
Partial Differential Equations
Thermophoresis
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Summary:A fully developed steady immiscible flow of nanofluid in a two-layer microchannel is studied in the presence of electro-kinetic effects. Buongiorno’s model is employed for describing the behavior of nanofluids. Different from the previous studies on two-layer channel flow of a nanofluid, the present paper introduces the flux conservation conditions for the nanoparticle volume fraction field, which makes this work new and unique, and it is in coincidence with practical observations. The governing equations are reduced into a group of ordinary differential equations via appropriate similarity transformations. The highly accurate analytical approximations are obtained. Important physical quantities and total entropy generation are analyzed and discussed. A comparison is made to determine the significance of electrical double layer (EDL) effects in the presence of an external electric field. It is found that the Brownian diffusion, the thermophoresis diffusion, and the viscosity have significant effect on altering the flow behaviors.
ISSN:0253-4827
1573-2754
DOI:10.1007/s10483-020-2558-7