|
|
Analytical Determination of Electric Voltage for Pressure-driven Flow Through Complex Microchannels |
Dingling Zhang, Shuyan Deng, Qingyong Zhu |
|
|
Abstract An analytical determination of electric voltage generated by the pressure-driven °ow through complex
microchannels was analyzed based on the fractal theory. The pressure-driven °ow through a complex
microchannel with consideration of electrokinetic phenomena is described by the momentum and Poisson-
Boltzmann (P-B) equations. The solution of induced electric ˉeld strength and electric voltage across
complex microchannels are obtained using the fractal theory and technique, which are the function of
dimensionless electroosmotic radius and the porosity. The results obtained show that the analytical
results are agreed well with the experimental data.
|
|
|
|
|
Cite this article: |
Dingling Zhang,Shuyan Deng,Qingyong Zhu. Analytical Determination of Electric Voltage for Pressure-driven Flow Through Complex Microchannels[J]. Journal of Fiber Bioengineering and Informatics, 2013, 6(2): 139-147.
|
|
[1] L?obbus M, Sonnfeld J, Van Leeuwen H, et al. An improved method for calculating zeta-potentials
from measurements of the electrokinetic sonic amplitude. J. Colloid Interface Sci. 2000; 229: 174-
183.
[2] Erickson D, Li D, Werner C. An improved method of determining the 3-potential and surface
conductance. J. Colloid Interface Sci. 2000; 232: 186-197.
[3] Chen C. Fully-developed thermal transport in combined electroosmotic and pressure driven °ow
of power-law °uids in microchannels. Int. J. Heat Mass Transfer. 2012; 55: 2173-2183.
[4] Cho C, Chen C, Chen C. Electrokinetically-driven non-Newtonian °uid °ow in rough microchannel
with complex-wavy surface. J. Non-Newtonian Fluid Mech. 2012; 173-14: 13-20.
[5] Alkan M, Karada?s M, Do?gan M, et al. Zeta potentials of perlite samples in various electrolyte and
surfactant media. Colloids Surf. A. 2005; 259: 155-166.
[6] Zhu Q, Xie M, Yang J, et al. Analytical determination of permeability of porous ˉbrous media
with consideration of electrokinetic phenomena. Int. J. Heat Mass Transfer. 2012; 55: 1716-1723.
[7] Zhao C, Yang C. Advances in electrokinetics and their applications in micro/nano °uidics. MI-
CROFLUID NANOFLUID. 2012; 13: 179-203.
[8] Pelley A, Tufenkji N. E?ect of particle size and natural organic matter on the migration of nano-
and microscale latex particles in saturated porous media. J. Colloid Interface Sci. 2008; 321: 74-83.
[9] Liu Y, Yu B, Xiao B. A fractal model for relative permeability of unsaturated porous media with
capillary pressure e?ect. FRACTALS. 2007; 15: 217-222.
[10] Li Y, Zhu Q. A model of coupled liquid moisture and heat transfer in porous textiles with consid-
eration of gravity. NUMER HEAT TR A-APPL. 2003; 43: 501-523.
[11] Van der Heyden F, Bonthuis D, Stein D, et al. Power generation by pressure-driven transport of
ions in nano°uidic channels. NANO LETT. 2007; 7: 1022-1025.
[12] Zhu Q, Li Y. Numerical simulation of the transient heat and liquid moisture transfer through
porous textiles with consideration of electric double layer. Int. J. Heat Mass Transfer. 2010: 1417-
1425.
[13] Yu B, Cai J, Zou M. On the physical properties of apparent two-phase fractal porous media.
VADOSE ZONE J. 2009; 8: 177-186.
[14] Yang C, Li D, Masliyah J. Modeling forced liquid convection in rectangular microchannels with
electrokinetic e?ects. Int. J. Heat Mass Transfer. 1998; 41: 4229-4249.
[15] Zhu Q, Xie M, Yang J, et al. A fractal model for the coupled heat and mass transfer in porous
ˉbrous media. Int. J. Heat Mass Transfer. 2011; 54: 1400-1409.
[16] Yu B, Cheng P. A fractal permeability model for bi-dispersed porous media. Int. J. Heat Mass
Transfer. 2002; 45: 2983-2993.
[17] Van der Weg P. The electrochemical potential and ionic activity coe±cients. A possible correction
for Debye-Huckel and Maxwell-Boltzmann equations for dilute electrolyte equilibria. J. Colloid
Interface Sci. 2009; 339: 542-544. |
|
|
|