Electroosmotic flow through a microparallel channel with 3D wall roughness.
In this paper, a perturbation method is introduced to study the EOF in a microparallel channel with 3D wall roughness. The corrugations of the two walls are periodic sinusoidal waves of small amplitude in two directions either in phase or half-period out of phase. Based on linearized Poisson-Boltzmann equation, Laplace equation, and the Navier-Stokes equations, the perturbation solutions of velocity, electrical potential, and volume flow rate are obtained. By using numerical computation, the influences of the wall corrugations on the mean velocity are analyzed. The variations of electrical potential, velocity profile, mean velocity, and their dependences on the wave number α and β of wall corrugations in two directions, the nondimensional electrokinetic width K, and the zeta potential ratio between the lower wall and the upper wall ς are analyzed graphically.
School of Mathematical Science, Inner Mongolia University, Hohhot, P. R. China.|School of Mathematics and Statistics, Inner Mongolia University of Finance and Economics, Hohhot, P. R. China.
Long
L
Chang
School of Mathematical Science, Inner Mongolia University, Hohhot, P. R. China.
Yongjun
Y
Jian
School of Mathematical Science, Inner Mongolia University, Hohhot, P. R. China.|School of Mathematics and Statistics, Chifeng University, Chifeng, P. R. China.
Mandula
M
Buren
School of Mathematics and Statistics, Inner Mongolia University of Finance and Economics, Hohhot, P. R. China.
Yanjun
Y
Sun
D003198:Computer Simulation; D053841:Electroosmosis / Q000379:methods*; D046210:Microfluidic Analytical Techniques / Q000379:methods*; D008962:Models, Theoretical; D013499:Surface Properties
3D wall roughness; Electrical double layer; Electroosmotic flow; Microchannel; Perturbation method