Investigation of nano-keyhole cooling evolution using Boubaker polynomials expansion scheme (BPES)

Nano Biomedicine and Engineering

Volumn 2, Issue 1, 2010, Pages 8-14

  Dada, M ^a   Moses, Olufemi Folorunsho ^c   Awojoyogbe, O B ^a   Boubaker, K ^b   Isah, K ^a  

^a FEDERAL UNIVERSITY OF TECHNOLOGY   (Nigeria)

^b UNIVERSITY OF TUNIS   (Tunisia)

^c NONE   (Nigeria)

Author keywords

Boubaker polynomials.; Heat equation; Keyhole; Newtonian cooling

Indexed keywords

EID: 80053252058     PISSN: None     EISSN: 21505578     Source Type: Journal    
DOI: 10.5101/nbe.v2i1.p8-14     Document Type: Article

References (28)

1. Suh HJ, Lee KJ, Curr. Appl. Phys. 9 (2009) 985-988
2. Zahangir Kabir M, Yunus M, Kasap SO, Tousignant O, Mani H, Gauthier P, Curr. Appl. Phys. 6 (2006) 393-398
3. Essimbi BZ, Jäger D, Curr. Appl. Phys. 6 (2005) 567-571
4. Yoon SH, Jung JS, Lee CS, Yoon IT, Won T, Curr. Appl. Phys. 2 (2002) 253-255
5. Chang DH, Jeong SH, Hong BG, Chung KS, Kim GH, Lee JS, Curr. Appl. Phys. 6 (2001)497-503
6. De P, Current Applied Physics, Curr. Appl. Phys. 76 (2007) 274-280
7. Kühn JH, Penin AA, Pivovarov AA, Nuclear Phys. 534 (1998) 356-370
8. Ghanouchi J, Labiadh H, Boubaker K, Int. J. of Heat & Tech., in press.
9. Awojoyogbe OB, Boubaker K, Curr. Appl. Phys. 9 (2009)278-283
10. Boubaker K. Trends in Applied Science Research, 2(2007) 540-544
11. Labiadh H. Journal of Differential Equations and Control Processes, 2 (2007) 117-133
12. Lazzez S, Ben KB,Mahmoud, Abroug S, Saadallah F, Amlouk M. Curr. Appl. Phys. 9 (2009) 1129-1133
13. Fridjine S, Ben KB, Mahmoud, Amlouk M, Bouhafs M. J. of Alloys and Comp., 479, (2009) 457-461
14. Ben KB, Mahmoud, Amlouk M. Materials Letters, 63 (2009) 991-994
15. Karem M, Ben Mahmoud. Cryogenics 49 (2009) 217-220
16. Zhao TG, Ben BK, Mahmoud, Toumi MA, Faromika OP, Dada m, Awojoyogbe OB, Magnuson J, Lin F, Differential Eq J. Control Processes, 1 (2009)7-19.
17. Zhao TG, Wang YX, Ben BK, Mahmoud. Int. J. of Math. and Comp. 1(2008)13-16.
18. Oyodum OD, Awojoyogbe OB, Dada M, Ben KB, Mahmoud, Magnuson J. Eur. Phys. J. Appl. Phys. 46 (2009) 21201
19. Kaplan A. A model of deep penetration laser welding based on calculation of the keyhole profile, J. Phys. D: Appl. Phys. 27 (1994) 1805-1814.
20. Lampa C, Kaplan AFH, Powell J, Magnusson C, An ana-lytical thermodynamic model of laser welding, J. Phys. D: Appl. Phys. 30 (9) (1997) 1293-1299
21. Jin X, Li L, Zhang Y. A study on fresnel absorption and reflections in the keyhole in deep penetration laser weld-ing, J. Phys. D: Appl. Phys. 35 (2002) 2304-2310.
22. Dowden J, Postacioglu N, Davis M, Kapadia P. A key-hole model in penetration welding with a laser, Journal of physics. D, Applied physics 20 (1987) 36-44
23. Semak VV, Bragg WD, Damkroger B, Kempka S. Tran-sient model for the keyhole during laser welding, J. Phys. D: Appl. Phys. 32 (1999) 61-64
24. Ki H, Mazumder J, Mohanty PS. Modeling of laser key-hole welding: Part II. simulation of keyhole evolution, velocity, temperature profile, and experimental verification, Metallurgical and Materials Transactions A, 33(2002) 1831-1842
25. Rai R, Kelly SM, Martukanitz RP, DebRoy T, A Con-vective Heat-Transfer Model for Partial and Full Penetration Keyhole Mode Laser Welding of a Structural Steel, Metallurgical and Materials Transactions A, 39 (2008) 98-112
26. Al-Kazzaz H, Medraj, Caoand X, Jahazi M. Nd:YAG laser welding of aerospace grade ZE41A magnesium al-loy:Modeling and experimental investigations, Materials Chemistry and Physics 109 (2008) 61-76
27. Solana P, Negro G. A study of the effect of multiple reflections on the shape of the keyhole of the keyhole in the laser processing of materials, J. Phys. D: Appl. Phys. 30 (1997) 3216-3222
28. Wu CS, Wang HG, Zhang YM. A new heat source mod-el for keyhole plasma arc welding in FEM analysis of the temperature profile, Welding journal 85 (2006) 284-289.