Theoretical study in two dimensions of the energy transfer between an electric arc and an anode material

Journal of Physics D: Applied Physics

Volumn 40, Issue 2, 2007, Pages 432-446

  Masquere M ^a   Freton, P ^a   Gonzalez, J J ^a  

^a CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ANODES; CONJUGATE GRADIENT METHOD; HEAT FLUX; LEAST SQUARES APPROXIMATIONS; MATHEMATICAL MODELS; PLASMA THEORY;

AXISYMMETRICAL CONFIGURATION; INVERSE METHODS; THERMAL PLASMA APPLICATIONS;

ENERGY TRANSFER;

EID: 33947662974     PISSN: 00223727     EISSN: 13616463     Source Type: Journal    
DOI: 10.1088/0022-3727/40/2/020     Document Type: Article

References (37)

1. Nestor O H 1962 Heat intensity and current density distributions at the anode of high current, inert gas arcs J. Appl. Phys. 33 1638-348
2. Tsai N S and Eagar T W 1985 Distribution of the heat and current fluxes in gas tungsten arcs Metall. Trans. B 16B 841-6
3. Choo R T C, Szekely J and Westhoff R C 1990 Modelling of high-current arcs with emphasis on free surface phenomena in well pool Weld. Res. Suppl. 346-61
4. Lago F, Gonzalez J J, Freton P and Gleizes A 2004 A numerical modelling of an electric arc and its interaction with the anode: I. The two dimensional model J. Phys. D: Appl. Phys. 37 883-97
5. Gonzalez J J, Lago F, Freton P, Masquère M and Franceries X 2005 Numerical modelling of an electric arc and its interaction with the anode: II. The three-dimensional model-influence of external forces on the arc column J. Phys. D.: Appl. Phys. 38 306-18
6. Kim W-H and Na S-J 1998 Heat and fluid flow in pulsed current GTA weld pool Int. J. Heat Mass Transfer 41 3213-27
7. Yamamoto T, Takeda K, Toh T and Tanaka J 2007 Distribution of heat flux transported by a magnetically driven arc Thin Solid Films at press (doi: 10.1016/j.tsf.2006.02.055)
8. Goldstein R J et al 2006 Heat transfer-a review of 2003 literature Int. J. Heat and Mass Transfer 49 451-534
9. Roche M 2001 Déconvolution d'images en astrophysique Méthodologie algorithmique Thesis Nice Sophia-Antipolis University
10. Athias V, Mazzega P and Jeandel C 2000 Selecting a global optimization method to estimate the oceanic particle rate constants J. Mar. Res. 58 675-707
11. Raynaud M 1997 Le problème inverse de conduction de la chaleur Techniques de l'Ingénieur BE 8265
12. Hadamard J 1923 Lecture on Cauchy's Problem in Linear Partial Differential Equations (New Haven, CT: Yale University Press) ISBN 0486495493
13. Alifanov O M and Nenamorokov A V 1999 Three-dimensional boundary inverse heat conduction problem for regular coordinate system Inverse Problems Eng. 119 335-62
14. Beck J V 1970 Nonlinear estimation applied to the nonlinear inverse heat conduction problems Int. J. Heat Mass Transfer 13 703-16
15. Huang C-H and Wang S-P 1999 A three-dimensional inverse heat conduction problem in estimating surface heat flux by conjugate gradient method Int. J. Heat Mass Transfer 42 3387-403
16. Abou khachfe R and Jarny Y 2001 Determination of heat source and heat transfer coefficient for two-dimensional heat flow: numerical and experimental study Int. J. Heat Mass Transfer 44 1309-22
17. Le Brizaut J S 1994 Etude fonctionnelle de contrles d'une vulcanization Ann. Sci. Math. Québec 18 173-97
18. Chauvet P and Le Brizaut J S 1990 Résolution fonctionnelle et numérique de deux problèmes de commande associés l'équation de la chaleur Rapp. Interne Ecole Centrale Nantes LAN no 90-11
19. Masquère M 2005 Etude du transfert d'énergie entre un arc électrique et un matériau Thesis Paul Sabatier University, Toulouse
20. Tikhonov A N and Arsenin V Y 1977 Solutions of the Ill-Posed Problems (New York: Winston-Wiley) ISBN 0470991240
21. Idier J 2001 Approche Bayésienne Pour les Problèmes Inverses (Paris: Hermes-Lavoisier) ISBN 2746203480
22. Miller K 1970 Least squares methods for ill-posed problems with a prescribed bound J. Mathe. Analy. Appl. 1 52-74
23. Laarne P, Hyttinen J, Dodel S, Malmivuo J and Eskola H 2000 Accuracy of two dipolar inverse algorithms applying reciprocity for forward calculation Comput. Biomed. Res. 33 172-85
24. Huang C-H and Li J-X 2006 A non linear optimal control problem in obtaining homogeneous concentration for semiconductor materials J. Phys. D: Appl. Phys. 39 2343-51
25. Jarny Y, Ozisik and Bardon J P 1991 A general optimization method using adjoint equation for solving multidimensional inverse heat conduction Int. J. Heat Mass Transfer 34 2911-9
26. Colaço M J and Orlande H R B 1999 Comparison of the different versions of the conjugate gradient method of function estimation Numer. Heat Transfer A 36 229-49
27. Fletcher R and Reeves C M 1964 Function Minimization by Conjugate Gradients Comput. J. 7 149-54
28. Alifanov O M 1974 Solution of an inverse problem of heat conduction by iteration methods J. Eng. Phys. 26 471-6
29. Lantéri H, Roche M, Cuevas O and Aime C 2001 A general method to devise Maximum-Likelihood signal restoration multiplicative algorithms with non-negativity constraints Signal Process. 5 945-74
30. Kreith F and Bohn M S 2000 Principles of Heat Transfer (Pacific Grove, CA: Brooks/Cole) ISBN 0534375960
31. Patankar S V 1980 Numerical Heat Transfer (New York: McGraw-Hill) ISBN 0891165223
32. Cverna F 2002 Thermal Properties of Metals (ASM Materials Data Series) ISBN 0871707411
33. National Institute of Standards and Technology http://www.nist.gov/
34. Zsu P, Lowke J J, Morrow R and Haidar J 1995 Prediction of anode temperature of free burning arc J. Phys. D: Appl. Phys. 28 1369-76
35. Touloukian Y S, Powell R W, Ho C Y and Klemens P G 1970 Thermophysical Properties of Matter (New York: Wiley) ISBN 0306670208
36. TC S A Traité de thermométrie par thermocouple et résistance http://www.tcsa.fr (version 6)
37. Alifanov O M, Artyukhin E A and Rumyantsev 1995 Extreme Methods for Solving Ill-Posed Problems with Applications to Inverse Heat Transfer Problems (New York, Wallingford: Begell House) ISBN 156700038X