Generalized model for time periodic electroosmotic flows with overlapping electrical double layers.
In this article, an analytical model is devised for analyzing time periodic electroosmotic flows through nanochannels within the continuum regime, without presuming the validity of the Boltzmann distribution of ionic charges. The charge density distributions are obtained from the conservation considerations of the individual ionic species and other thermochemical constraints and are subsequently utilized to derive the potential distribution within the electrical double layer (EDL). This, coupled with the Navier-Stokes equation, yields a closed-form expression of the time-dependent velocity field that is valid under overlapped EDL conditions. This expression is first validated in asymptotic limits of thin EDLs, for which closed form expressions have been benchmarked in the literature. Further analyses are carried out to bring out the influences of the frequency of the electrical field on the electroosmotic flow features in the presence of overlapped EDLs.
Chakraborty
Suman
S
Department of Mechanical Engineering, Indian Institute of Technology, Kharagpur, India. suman@mech.iitkgp.ernet.in
Srivastava
Amit Kumar
AK
D000465:Algorithms; D004563:Electrochemistry; D053841:Electroosmosis; D007477:Ions / Q000737:chemistry*; D008954:Models, Biological; D049329:Nanostructures / Q000737:chemistry*; D012212:Rheology; D016008:Statistical Distributions; D013997:Time Factors
D007477:Ions