In this article, the effect of electrophoresis on the transport of a sample (like biomolecules) in active microreactors is numerically investigated. Navier-Stokes equations are solved along with the equations of electrostatics, species mass transport in the buffer, and chemical reaction kinetics at reactive surfaces. Unlike previous studies, in which the effect of the charge of the sample molecules on the electric field has been neglected (i.e., the assumption of electroneutrality), here the space charge density is assumed to be nonzero and a function of biomolecule concentration. As a result, the governing equations become fully coupled. The validity of the assumption is examined against experimental results. Then, the effect of electroneutrality on the efficiency of the microreactor device is analyzed for the parallel plate open channel geometry, commonly used in biomolecule separation. It is shown that the electroneutrality assumption can drastically influence the final adsorbed concentration depending on the device configuration. Average adsorbed surface concentration and capture efficiency are compared as measures of the performance of the device for a wide range of physiochemical parameters. The sensitivity of the simulation with respect to the ionic concentration of the buffer is investigated. It is also discussed how the electric field and nonzero space charge density alter the bulk concentration profile and the velocity field inside the microreactor.
List of symbols aParticle radius (m)Sample bulk concentration (mol/m 3 ) c 0 Inlet bulk concentration (mol/m 3 ) CE Capture efficiency c s Sample surface concentration (mol/m 2 ) c s0 Ligand surface concentration (mol/m 2 ) c s,avg Average surface concentration (mol/m 2 ) h Channel height (m) k on Forward reaction rate (m 3 /mol/s) k off Backward reaction rate (s -1 ) l Reactive length (m) n Normal vector p Pressure (Pa) Q Electric charge (C) u Velocity vector (m/s) u avg Average velocity (m/s) z ValenceGreek symbols e 0 Electric constant (C/V/m) e r Permittivity jDebye length (nm -1 ) K Dimensionless electrophoretic to convective transport number l Dynamic viscosity (Pa s) l ep Electrophoretic mobility (m 2 /V/s) qBuffer density (kg/m 3 ) q s Space charge density (C/m 3 ) wParticle surface potential (V)