Application of the DTM to Nonlinear Cases Arising in Fluid Flows with Variable Viscosity

• Authors: A. Barari , M. Rahimi , M. Hosseini , L. Ibsen
• Languages of publication: EN

Abstracts

EN

This paper employs the differential transformation method to investigate two nonlinear ordinary differential systems for plane coquette flow having variable viscosity and thermal conductivity. The concept of differential transformation is briefly introduced, and then differential transformation method is employed to derive solutions of nonlinear equation systems. The results of differential transformation method are compared with those ones obtained by Adomian decomposition method to verify the accuracy of proposed method. The results reveal that the differential transformation method can achieve suitable results in predicting the solution of such problems.

Keywords

EN

47.35.Pq; 42.65.Wi

Discipline

• 42.65.Wi: Nonlinear waveguides
• 47.35.Pq: Capillary waves

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2012
• Volume: 122
• Issue: 1
• Pages: 96-102

Dates

published

2012-07

received

2011-05-19

(unknown)

2012-05-14

Contributors

author

A. Barari

• Department of Civil Engineering, Aalborg University, Sohngårdsholmsvej 57, Aalborg 9000, Aalborg, Denmark

author

M. Rahimi

• Department of Mechanical Engineering, Babol University of Technology, P.O. Box 484, Babol, Iran

author

M. Hosseini

• Department of Mechanical Engineering, Babol University of Technology, P.O. Box 484, Babol, Iran

author

L. Ibsen

• Department of Civil Engineering, Aalborg University, Sohngårdsholmsvej 57, Aalborg 9000, Aalborg, Denmark

References

• 1. W.E. Boyce, Elementary Differential Equations and Boundary Value Problems, Wiley, New York 1977
• 2. L. Debnath, Nonlinear Partial Differential Equations for Scientists and Engineers, Burghausen, Berlin 1998
• 3. R. Dennemeyer, Introduction to Partial Differential Equations and Boundary Value Problems, California State College at San Bernardino, New York 1968
• 4. W.A. Strauss, Partial Differential Equations. An Introduction, Wiley, Singapore 1992
• 5. E. Zauderer, Partial Differential Equations of Applied Mathematics, Wiley, USA 1983
• 6. J.K. Zhou, Differential Transformation and Its Applications for Electrical Circuits, Huarjung University Press, Wuuhahn, China 1986 (in Chinese)
• 7. J.S. Chiou, J.R. Tzeng, Trans. ASME J. Vib. Acoust. 118, 83 (1996)
• 8. M.J. Jang, C.L. Chen, Y.C. Liu, Appl. Math. Comput. 121, 261 (2001)
• 9. I.H. Abdel-Halim Hassan, Appl. Math. Comput. 127, 1 (2002)
• 10. M. Omidvar, A. Barari, M. Momeni, D.D. Ganji, Geomech. Geoeng. Int. J. 5, 127 (2010)
• 11. S.S. Ganji, A. Barari, L.B. Ibsen, G. Domairry, Central Europ. J. Operat. Res. 20, 87 (2012)
• 12. A.A. Joneidi, D.D. Ganji, M. Babaelahi, Int. Commun. Heat Mass Transfer 36, 757 (2009)
• 13. Y.L. Yeh, C.C. Wang, M.J. Jang, Appl. Math. Comput. 190, 1146 (2007)
• 14. C. Wang, Y.H.J. Au, Mech. Sci. 2, 147 (2011)
• 15. F. Fouladi, E. Hosseinzadeh, A. Barari, G. Domairry, J. Heat Transfer Res. 41, 155 (2010)
• 16. M.O. Miansari, M.E. Miansari, A. Barari, G. Domairry, Int. J. Comput. Methods Eng. Sci. Mech. 11, 79 (2010)
• 17. H. Mirgolbabaei, A. Barari, L.B. Ibsen, M.G. Sfahani, Arch. Civil Mech. Eng. 10, 41 (2010)
• 18. M. Rahimi, M.J. Hosseini, A. Barari, G. Domairry, M. Ebrahimpour, Tehnicki Vjesnik 18, 315 (2011)
• 19. A. Aziz, S.M. Enamul Hug, ASME J. Heat Transfer 97, 300 (1975)
• 20. A.R. Ghotbi, M. Omidvar, A. Barari, Comput. Geotechn. 38, 777 (2011)
• 21. M. Momeni, N. Jamshidi, A. Barari, G. Domairry, Int. J. Numeric Meth. Heat Fluid. Flow 21, 206 (2011)
• 22. H. Bararnia, E. Ghasemi, S. Soleimani, A. Barari, D.D. Ganji, J. Porous Media 14, 545 (2011)
• 23. A.G. Dunning, N. Tolou, J.L. Herder, Mech. Sci. 2, 157 (2011)
• 24. E. Hosseinzadeh, A. Barari, F. Fouladi, G. Domairry, Therm. Sci. 14, 1101 (2010)
• 25. D.D. Gganji, S.M. Varedi, M. Rahimi, J. Heat Mass-Transfer 30, 287 (2008)
• 26. R. Keslerová, K. Kozel, Math. Comput. Simulation 80, 1783 (2010)
• 27. A. Aziz, T.Y. Na, Perturbation Method in Heat Transfer, Hemisphere Publishing Corporation, Washington, DC 1984

Identifiers

DOI

10.12693/APhysPolA.122.96