TY - JOUR
T1 - Analysis of electroosmotic flow of power-law fluids in a slit microchannel
AU - Zhao, Cunlu
AU - Zholkovskij, Emilijk
AU - Masliyah, Jacob H.
AU - Yang, Chun
PY - 2008/10/15
Y1 - 2008/10/15
N2 - Electroosmotic flow of power-law fluids in a slit channel is analyzed. The governing equations including the linearized Poisson-Boltzmann equation, the Cauchy momentum equation, and the continuity equation are solved to seek analytical expressions for the shear stress, dynamic viscosity, and velocity distribution. Specifically, exact solutions of the velocity distributions are explicitly found for several special values of the flow behavior index. Furthermore, with the implementation of an approximate scheme for the hyperbolic cosine function, approximate solutions of the velocity distributions are obtained. In addition, a generalized Smoluchowski velocity is introduced by taking into account contributions due to the finite thickness of the electric double layer and the flow behavior index of power-law fluids. Calculations are performed to examine the effects of κH, flow behavior index, double layer thickness, and applied electric field on the shear stress, dynamic viscosity, velocity distribution, and average velocity/flow rate of the electroosmotic flow of power-law fluids.
AB - Electroosmotic flow of power-law fluids in a slit channel is analyzed. The governing equations including the linearized Poisson-Boltzmann equation, the Cauchy momentum equation, and the continuity equation are solved to seek analytical expressions for the shear stress, dynamic viscosity, and velocity distribution. Specifically, exact solutions of the velocity distributions are explicitly found for several special values of the flow behavior index. Furthermore, with the implementation of an approximate scheme for the hyperbolic cosine function, approximate solutions of the velocity distributions are obtained. In addition, a generalized Smoluchowski velocity is introduced by taking into account contributions due to the finite thickness of the electric double layer and the flow behavior index of power-law fluids. Calculations are performed to examine the effects of κH, flow behavior index, double layer thickness, and applied electric field on the shear stress, dynamic viscosity, velocity distribution, and average velocity/flow rate of the electroosmotic flow of power-law fluids.
KW - Electroosmotic flow
KW - Fluid behavior index
KW - Generalized Smoluchowski equation
KW - Microfluidics
KW - Non-Newtonian power-law fluids
UR - https://www.scopus.com/pages/publications/50649085238
U2 - 10.1016/j.jcis.2008.06.028
DO - 10.1016/j.jcis.2008.06.028
M3 - 文章
C2 - 18656891
AN - SCOPUS:50649085238
SN - 0021-9797
VL - 326
SP - 503
EP - 510
JO - Journal of Colloid and Interface Science
JF - Journal of Colloid and Interface Science
IS - 2
ER -