Journal of Colloid and Interface Science, Vol.265, No.1, 202-213, 2003
Theoretical analysis of electrokinetic flow and heat transfer in a microchannel under asymmetric boundary conditions
The main theme of the present work is to investigate the electrokinetic effects on liquid flow and heat transfer in a flat microchannel of two parallel plates under asymmetric boundary conditions including wall-sliding motion, unequal zeta potentials, and unequal heat fluxes on two walls. Based on the Debye-Huckel approximation, an electrical potential solution to the linearized Poisson-Boltzmann equation is obtained and employed in the analysis. The analytic solutions of the electrical potential, velocity distributions, streaming potential, friction coefficient, temperature distribution, and heat transfer rate are obtained, and thereby the effects of electrokinetic separation distance (K), zeta-potential level ((ζ) over bar 1), ratio of two zeta potentials (r(zeta)equivalent tozeta(2)/zeta(1)), wall-sliding velocity (u(w)), and heat flux ratio (r(q)equivalent toq(2)"/q(1)") are investigated. The present results reveal the effects of wall-sliding and zeta-potential ratio on the hydrodynamic nature of microchannel flow, and they are used to provide physical interpretations for the resultant electrokinetic effects and the underlying electro-hydrodynamic interaction mechanisms. In the final part the results of potential and velocity fields are applied in solving the energy equation. The temperature distributions and heat transfer characteristics under the asymmetrical kinematic, electric, and thermal boundary conditions considered presently are dealt with. (C) 2003 Elsevier Inc. All rights reserved.
Keywords:microchannel flow and heat transfer;electrokinetic flow;zeta-potential ratio;wall-sliding effects;electro-hydrodynamic interaction mechanism