THERMAL SCIENCE

International Scientific Journal

EVALUATION OF ELECTRO-OSMOTIC FLOW IN A NANOCHANNEL VIA SEMI-ANALYTICAL METHOD

ABSTRACT
In this paper, equations due to anion and cation distributions, electrical potential and shear stress profiles in a nanochannel are formed for 1-D electro-osmotic flow, and solved by homotopy perturbation method. Results are compared with numerical solutions.
KEYWORDS
PAPER SUBMITTED: 2012-08-12
PAPER REVISED: 2012-09-01
PAPER ACCEPTED: 2012-09-10
DOI REFERENCE: https://doi.org/10.2298/TSCI1205297J
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2012, VOLUME 16, ISSUE Issue 5, PAGES [1297 - 1302]
REFERENCES
  1. Kandlikar, S., et al., Heat Transfer and Fluid Flow in Minichannels and Microchannels, Elsevier, 2006
  2. Burgreen, D., Nakache, F. R., Electro-Osmotic Flow in Ultrafine Capillary Slits, J. Phys. Chem, 68 (1964), 5, pp. 1084-1091
  3. Oshima, H., Kondo, T., Electro-Osmotic Flow between Two Parallel Plates with Surface Charge Layers: Electroosmosis and Streaming Potential, J. Colloids and Interfacial Sci, 135 (1990), 2, pp. 443-448
  4. Rice, C. L, Whithead, R., Electro-Osmotic Flow in a Narrow Cylindrical Capillary, J. Phys. Chem., 69 (1965), 11, pp. 4017-4023
  5. Lo, W. Y, Chan, K., Poisson-Boltzmann Calculations of Ions in Charged Capillaries, J. Chem. Phys., 101 (1994), 2, pp. 339-353
  6. Keh, H., Liu, Y. C., Electro-Osmotic Flow in a Circular Capillary with a Surface Charge Layer, J. Colloids and Interface Surfaces, 172 (1995), 1, pp. 222-229
  7. Khaki, M.,Taeibi-Rahni, M, Ganji, D. D., Analytical Solution of Electro-Osmotic Flow in Rectangular Nanochannels by Combined Sine Transform and MHPM, Journal of Electrostatics, 70 (2012), 5, pp. 451-456
  8. Ganji, D. D., Afrouzi, G. A., Talarposhti, R. A., Application of Variational Iteration Method and Homotopy- Perturbation Method for Nonlinear Heat Diffusion and Heat Transfer Equations, Physics Letters A, 368 (2007), 6, pp. 450-457
  9. Rafei, M., Daniali, H., Ganji, D. D., Variational Iteration Method for Solving the Epidemic Model and the Prey and Predator Problem, Applied Mathematics and Computation, 186 (2007), 2, pp. 1701-1709
  10. Mostofi, M, Ganji, D. D, Gorji-Bandpy, M. Investing the Temperature Effect on Velocity Profile in Electroosmotics Driven Nanochannel, Proceedings, 6th Nanoscience and Nanotechnology Conference, Izmir Cesme, Turkey, 2010
  11. Mostofi, M., Ganji, D. D, Gorji-Bandpy, M., Electro-Osmotic Flow Modeling in a Porous Nanochannel using Curvilinear Coordinates, Proceedings, 6th Nanoscience and Nanotechnology Conference, Izmir Cesme, Turkey, 2010
  12. Conlisk, A. T, et al., Mass Transfer and Flow in Electricity Charged Micro- and Nano- Channels, Anal. Chem., 74 (2002), 9, pp. 2139-2150
  13. He, J.-H., A Note on the Homotopy Perturbation Method, Thermal Science, 14 (2010), 2, pp. 565-568
  14. Ganji, D. D, The Application of He's Homotopy Perturbation Method to Nonlinear Equation Arising in Heat Transfer, Phys. Letts., 355 (2006), 4-5, pp. 337-341
  15. Ganji, D. D, Rajabi, A. Assessment of Homotopy Perturbation and Perturbation Method in Heat Radiation Equations, Int. Com. Heat and Mass Trans., 33 (2006), 3, pp. 391-400
  16. Ganji, D. D., A Semi-Analytical Technique for Non-Linear Settling Particle Equation of Motion, Journal of Hydro-Environment Research, 6 (2012), pp. 323-327
  17. Ganji, D. D, Gorji-Bandpy, M., Mostofi, M., Simulation of Lakes Pollution Distribution by Homotopy Perturbation Method, Int. Rev. Civil Eng., 1 (2010), 1, pp. 20-23
  18. Ganji, D. D, Sadighi, A., Application of Homotopy Perturbation and Variational Iteration Methods to Nonlinear Heat Transfer and Porous Media Equations, J. Comp. App. Math., 207 (2007), 1, pp. 24-34
  19. Hamidi, S. M., et al., A Novel and Developed Approximation for Motion of a Spherical Solid Particle in Plane Coquette Fluid Flow, Advanced Powder Technology, 2012, in press
  20. Ganji, D. D., Rahimi, M., Rahgoshay, M., Determining the Fin Efficiency of Convective Straight Fins with Temperature Dependent Thermal Conductivity by using Homotopy Perturbation Method, International Journal of Numerical Methods for Heat & Fluid Flow, 22 (2012), 2, pp. 263-272
  21. Khaki, M., Taeibi-Rahni, M., Ganji, D. D., Analytical Solution of Electro-Osmotic Flow in Rectangular Nano-Channels by Combined Sine Transform and MHPM, Journal of Electrostatics, 70 (2012), 5, pp. 451-456
  22. Kachapi, S. H., Ganji, D. D., Nonlinear Equations: Analytical Methods and Applications, Springer, N. Y., USA, 2012
  23. Sheikholeslami, M., et al., Analytical Investigation of Jeffery-Hamel Flow with High Magnetic Field and Nanoparticle by Adomian Decomposition Method, Applied Mathematics and Mechanics, 33 (2012), 1, pp. 25-36

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence