Adomian decomposition method to study mass transfer within wetted wall columns

Australian Journal of Basic and Applied Sciences

Volumn 5, Issue 6, 2011, Pages 1109-1115

  Fatoorehchi, Hooman ^a   Abolghasemi, Hossein ^a  

^a UNIVERSITY OF TEHRAN   (Iran)

Author keywords

Adomian decomposition method; Fourier series expansion; Separation of variables method; Wetted wall column

Indexed keywords

EID: 83355168117     PISSN: 19918178     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (23)

1. Adomian, G., 1984. A New Approach to Nonlinear Partial Differential Equations. Journal of Mathematical Analysis and Applications, 102: 402-434.
2. Adomian, G., 1994. Solving Frontier Problems of Physics: The Decomposition Method. Kluwer Academic Publishers, Boston.
3. Adomian, G., 1998. Solutions of nonlinear PDE. Applied Mathematics Letters, 11(3): 121-123.
4. Adomian, G., 1988. A Review of the Decomposition Method in Applied Mathematics. Journal of Mathematical Analysis and Applications, 135: 501-544.
5. Adomian G., 1991. A Review of the Decomposition Method and Some Recent Results For Nonlinear Equations. Computers & Mathematics with Applications, 21(5): 101-127.
6. Arslanturk, C., 2005. A Decomposition Method for Fin Efficiency of Convective Straight Fins with Temperature-Dependent Thermal Conductivity. International Communications in Heat and Mass Transfer, 32(6): 831-841.
7. Adjedj, B., 1999. Application of the Decomposition Method to the Understanding of HIV Immune Dynamics. Kybernetes, 28(3): 271-283.
8. Bohner, M. and Y. Zheng, 2009. On Analytical Solutions of The Black-Scholes Equation. Applied Mathematics Letters, 22(3): 309-313.
9. Babolian, E., J. Biazar, 2002. On The Order of Convergence of Adomian Method. Applied Mathematics and Computation, 130(2-3): 383-387.
10. Fatoorehchi, H. and H. Abolghasemi, 2011. Differential Transform Method to Investigate Mass Transfer Phenomenon to a Falling Liquid Film System. Australian Journal of Basic and Applied Sciences, 5(3): 337-345.
11. Hosseini, M.M. and H. Nasabzadeh, 2006. On the Convergence of Adomian Decomposition Method. Applied Mathematics and Computation, 182: 536-543.
12. Kundu, B. and A. Miyara, 2009. An Analytical Method for Determination of the Performance of a Fin Assembly under Dehumidifying Conditions: A Comparative Study. International Journal of Refrigeration, 32(2): 369-380.
13. Luo, X.G., 2005. A Two-Step Adomian Decomposition Method. Applied Mathematics and Computation, 170(1): 570-583.
14. Lynn, S., J.R. Straatemeier and H. Kramers, 1955. Absorption Studies in the Light of the Penetration Theory: II. Absorption by Short Wetted-Wall Columns. Chemical Engineering Science, 4(2): 58-62.
15. Layeni O.P., A.P. Akinola, 2008. Adomian Decomposition Approach to a Filtration Model. International Journal of Nonlinear Science, 5(2): 158-163.
16. Mao, Q. and S. Pietrzko, 2010. Free Vibration Analysis of Stepped Beams by Using Adomian Decomposition Method. Applied Mathematics and Computation, 217(7): 3429-3441.
17. Nielsen, C.H.E., S. Kiil, H.W. Thomsen and K. Dam-Johansen, 1998. Mass Transfer in Wetted-Wall Columns: Correlations at high Reynolds Numbers. Chemical Engineering Science, 53(3): 495-503.
18. Sadighi, A. and D.D. Ganji, 2008. Analytic Treatment o Linear and Nonlinear Schrödinger Equations: A Study with Homotopy-Perturbation and Adomian Decomposition Methods. Physics Letters A, 372(4): 465-469.
19. Tallmadge, J.A. and C. Gutfinger, 1967. Entrainment of Liquid Films: Drainage, Withdrawal, and Removal. Industrial and Engineering Chemistry, 59(11): 19-34.
20. Wazwaz, A.M., 1999. A Reliable Modification of Adomian's Decomposition Method. Applied Mathematics and Computation, 102: 77-886.
21. Wazwaz, A.M., S.M. El-Sayed, 2001. A New Modification of The Adomian Decomposition and Nonlinear Operators. Applied Mathematics and Computation, 122: 393-405.
22. Yang, S.K.C. and C.K. Chen, 2008. A Double Decomposition Method for Solving the Periodic Base Temperature in Convective Longitudinal Fins. Energy Conversion and Management, 49(10): 2910-2916.
23. Zaïd, T.A., K. Benmaza and C.E. Chitour, 2000. Sulfonation of Linear Alkyl Benzene (LAB) In a Corrugated Wall Falling Film Reactor. Chemical Engineering Journal, 76(2): 99-102.