Analytical Solution of Electrokinetics Driven Flow in a Nanotube with Power Law Fluid by HPM

Davood D. Ganji; Mofid Gorji-Bandpy; Mehdi Mostofi

doi:10.4028/www.scientific.net/AMM.110-116.3663

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 110-116Analytical Solution of Electrokinetics Driven Flow...

Analytical Solution of Electrokinetics Driven Flow in a Nanotube with Power Law Fluid by HPM

Abstract:

In this paper, Poisson-Boltzmann equation and Navier-Stokes equation will be solved by Homotopy Perturbation method (HPM). Working fluid in this paper is assumed to be non-Newtonian which follows power law model. Zeta potential that is used for the potential in near wall area of a tube will be small enough in order to use some simplifications. In this paper, Poisson-Boltzmann equation for a 30 nm diameter nanotube with large zeta potential has been solved by Homotopy Perturbation Method (HPM). According to the literature, results have been compared with numerical solutions and consistency of the results has been considered. Results show that HPM can approach to this problem reliably.

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Periodical:

Applied Mechanics and Materials (Volumes 110-116)

Pages:

3663-3666

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.110-116.3663

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Online since:

October 2011

Authors:

Davood D. Ganji, Mofid Gorji-Bandpy, Mehdi Mostofi

Keywords:

Electroosmotics, HPM, Power-Law Fluid, Zeta-Potential

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References

[1] S. Kandlikar, S. Garimella, D. Li, S. Colin and M.R. King: Heat Tranfer and Fluid Flow in Minichannels and Microchannels (Elsevier Limited, 2006).

DOI: 10.1016/b978-008044527-4/50001-3

Google Scholar

[2] D. Burgreen and F.R. Nakache, J. Phys. Chem. Vol. 68 (1964), pp.1084-1091.

Google Scholar

[3] H. Oshima and T. Kondo, J. Colloid and Interface Sci. Vol. 135 (1990), pp.443-448.

Google Scholar

[4] C.L. Rice and R. Whitehead, J. Phys. Chem. Vol. 69 (1965), pp.4017-4023.

Google Scholar

[5] W.Y. Lu and K. Chan, J. Phys. Chem. Vol. 143 (1994), pp.339-353.

Google Scholar

[6] H. Keh and Y.C. Liu, J. Colloid and Interface Sci. Vol. 172 (1995), pp.222-229.

Google Scholar

[7] C.L.A. Berli and M.L. Olivares, J. Colloids and Interface Sci. Vol. 320 (2008), pp., 582-589.

Google Scholar

[8] W.B. Zimmerman, J.M. Rees and T.J. Cavern, Microf. and Nanof. Vol. 2 (2006), pp.481-492.

Google Scholar

[9] S. Chakraborty, Analytica Chemica Acta. Vol. 605 (2007), pp.175-184.

Google Scholar

[10] E. Lee, Y. Huang and J. Hsu, J. Colloids and Interface Sci. Vol. 258 (2003), pp.283-288.

Google Scholar

[11] M. Mostofi, D.D. Ganji and M. Gorji-bandpy, Proc. Dyn. Comp. Flu. (2011).

Google Scholar

[12] A.T. Conlisk, J. McFerran, Z. Zheng D. Hansford, Anal. Chem. Vol. 74 (2002), pp.2139-2150.

Google Scholar

[13] D.D. Ganji, M. Gorji-Bandpy and M. Mostofi, Int. Rev. Mod. Sim. Vol. 3 (2010), pp.202-205.

Google Scholar

[14] D.D. Ganji, M. Gorji-Bandpy and M. Mostofi, Int. Civ. Eng. Vol. 1 (2010), pp.119-123.

Google Scholar

[15] S.S. Ganji, D.D. Ganji, S. Karimpour and H. Babazadeh, Int. J. Nonl. Sci. Vol. 10 (2009).

Google Scholar

[16] D.D. Ganji, M. Gorji-Bandpy, M. Mostofi and P. Jalili, Nonl. Sci. Lett. D, Vol. 2 (2010), pp.83-86.

Google Scholar