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Open Physics

formerly Central European Journal of Physics

Editor-in-Chief: Seidel, Sally

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Volume 6, Issue 3

Issues

Volume 13 (2015)

Optimal homotopy asymptotic method with application to thin film flow

Vasile Marinca
  • Department of Mechanics and Vibration, Politehnica University of Timişoara, Bd. Mihai Viteazu 1, 300222, Timişoara, Romania
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/ Nicolae Herişanu
  • Department of Mechanics and Vibration, Politehnica University of Timişoara, Bd. Mihai Viteazu 1, 300222, Timişoara, Romania
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/ Iacob Nemeş
  • Department of Mechanics and Vibration, Politehnica University of Timişoara, Bd. Mihai Viteazu 1, 300222, Timişoara, Romania
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Published Online: 2008-07-17 | DOI: https://doi.org/10.2478/s11534-008-0061-x

Abstract

A new approximate analytical technique to address for non-linear problems, namely Optimal Homotopy Asymptotic Method (OHAM) is proposed and has been applied to thin film flow of a fourth grade fluid down a vertical cylinder. This approach however, does not depend upon any small/large parameters in comparison to other perturbation method. This method provides a convenient way to control the convergence of approximation series and allows adjustment of convergence regions where necessary. The series solution has been developed and the recurrence relations are given explicitly. The results reveal that the proposed method is very accurate, effective and easy to use.

PACS: 47.50.-d; 04.25.-g; 47.20.Ky; 47.15.gm

Keywords: Optimal Homotopy Asymptotic Method (OHAM); thin film flow; fourth grade fluid

  • [1] T. Hayat, M. Sajid, Phys. Lett. A 361, 316 (2007) http://dx.doi.org/10.1016/j.physleta.2006.09.060CrossrefGoogle Scholar

  • [2] A.M. Siddiqui, R. Mahmood, Q.K. Ghori, Phys. Lett. A 352, 404 (2006) http://dx.doi.org/10.1016/j.physleta.2005.12.033CrossrefGoogle Scholar

  • [3] A.M. Siddiqui, R. Mahmood, Q.K. Ghori, Int.J. Nonlinear Sci. 7, 7 (2006) Google Scholar

  • [4] A.M. Siddiqui, M. Ahmed, Q.K. Ghori, Int. J. Nonlinear Sci. 7, 15 (2006) Google Scholar

  • [5] P.D. Ariel, T. Hayat, S. Asghar, Int. J. Nonlinear Sci. 7, 399 (2006) Google Scholar

  • [6] Q.K. Ghori, M. Ahmed, A.M. Siddiqui, Int. J. Nonlinear Sci. 8, 179 (2007) Google Scholar

  • [7] H. Tari, D.D. Ganji, M. Rostamian, Int. J. Nonlinear Sci. 8, 203 (2007) Google Scholar

  • [8] A.N. Hayfeh, Perturbation Methods (Wiley, New York, 2000) Google Scholar

  • [9] A.N. Nayfeh, Introduction to Perturbation Techniques (Wiley, New York, 1981) Google Scholar

  • [10] J.D. Cole, Perturbation Methods in Applied Mathematics (Blaisdell Publishing Company, Waltham, MA, 1968) Google Scholar

  • [11] R.E. Mickens, J. Sound Vibr. 116, 185 (1987) http://dx.doi.org/10.1016/S0022-460X(87)81330-5CrossrefGoogle Scholar

  • [12] V. Marinca, N. Herişanu, Acta Mech. 184, 231 (2006) http://dx.doi.org/10.1007/s00707-006-0336-5CrossrefGoogle Scholar

  • [13] J.H. He, Comput. Method. Appl. M. 178, 256 (1999) http://dx.doi.org/10.1016/S0045-7825(99)00018-3CrossrefGoogle Scholar

  • [14] J.H. He, Appl. Math. Comput. 156, 527 (2004) http://dx.doi.org/10.1016/j.amc.2003.08.008CrossrefGoogle Scholar

  • [15] J.H. He, Int. J. Mod. Phys. B 20, 1141 (2006) http://dx.doi.org/10.1142/S0217979206033796CrossrefGoogle Scholar

  • [16] V. Marinca, Arch. Mech. 58, 241 (2006) Google Scholar

  • [17] S.J. Liao, Int. J. Nonlinear Mech. 34, 759 (1999) http://dx.doi.org/10.1016/S0020-7462(98)00056-0CrossrefGoogle Scholar

  • [18] S.J. Liao, Appl. Math. Mech.-Engl. 19, 957 (1998) http://dx.doi.org/10.1007/BF02457955CrossrefGoogle Scholar

  • [19] S.J. Liao, Int. J. Nonlinear Mech. 34, 759 (1999) http://dx.doi.org/10.1016/S0020-7462(98)00056-0CrossrefGoogle Scholar

  • [20] S.J. Liao, Int. J. Nonlinear Mech. 39, 271 (2004) http://dx.doi.org/10.1016/S0020-7462(02)00174-9CrossrefGoogle Scholar

  • [21] S.J. Liao, Appl. Math. Comput. 169, 1186 (2005) http://dx.doi.org/10.1016/j.amc.2004.10.058CrossrefGoogle Scholar

  • [22] S.J. Liao, Y. Tan, Stud. Appl. Math. 119, 297 (2007) http://dx.doi.org/10.1111/j.1467-9590.2007.00387.xCrossrefGoogle Scholar

  • [23] A. Alizadeh-Pahlavan, V. Aliakbar, F. Vakili-Farahani, K. Sadeghy, Comm. Nonlin. Sci. Num. Simul. doi:10.1016/j.cnsns.2007.09.011 CrossrefGoogle Scholar

  • [24] F.M. Allan, M.I. Syam, J. Comput. Appl. Math. 182, 362 (2005) http://dx.doi.org/10.1016/j.cam.2004.12.017CrossrefGoogle Scholar

  • [25] S. Abbasbandy, Phys. Lett. A 360, 109 (2006) http://dx.doi.org/10.1016/j.physleta.2006.07.065CrossrefGoogle Scholar

  • [26] K. Yabushita, M. Yamashita, K. Tsuboi, J. Phys. A 40, 8403 (2007) http://dx.doi.org/10.1088/1751-8113/40/29/015CrossrefGoogle Scholar

  • [27] S. Abbasbandy, Phys. Lett. A 361, 478 (2007) http://dx.doi.org/10.1016/j.physleta.2006.09.105CrossrefGoogle Scholar

  • [28] H. Xu, S.J. Liao, I. Pop, Eur. J. Mech. B-Fluid 26, 15 (2007) http://dx.doi.org/10.1016/j.euromechflu.2005.12.003CrossrefGoogle Scholar

About the article

Published Online: 2008-07-17

Published in Print: 2008-09-01


Citation Information: Open Physics, Volume 6, Issue 3, Pages 648–653, ISSN (Online) 2391-5471, DOI: https://doi.org/10.2478/s11534-008-0061-x.

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