On the calculation of the free surface temperature of gas-tungsten-arc weld pools from first principles: Part I. modeling the welding arc
Welding and Joining
First Online:
Received:
Abstract
A mathematical formulation has been developed and computed results are presented describing the temperature profiles in gas tungsten arc welding (GTAW) arcs and, hence, the net heat flux from the welding arc to the weld pool. The formulation consists of the statement of Maxwell's equations, coupled to the Navier-Stokes equations and the differential thermal energy balance equation. The theoretical predictions for the heat flux to the workpiece are in good agreement with experimental measurements — for long arcs. The results of this work provide a fundamental basis for predicting the behavior of arc welding systems from first principles.
Keywords
Welding Metallurgical Transaction Weld Pool Radial Position Anode Surface
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Preview
Unable to display preview. Download preview PDF.
References
- 1.G.M. Oreper and J. Szekely:Metall. Trans. A, 1987, vol. 18A, pp. 1325–32.CrossRefGoogle Scholar
- 2.T. Zacharia, A.H. Eraslan, D. Aidun, and S.A. David:Metall. Trans. B, 1989, vol. 20B, pp. 645–59.CrossRefGoogle Scholar
- 3.T. Zacharia, A.H. Eraslan, and D.K. Aidun:Weld. J., 1988, vol. 67, pp. 53s-62s.Google Scholar
- 4.P. Tekriwal and J. Mazumder:Weld. J., 1988, vol. 67, pp. 150s-156s.Google Scholar
- 5.S. Kou and Y.H. Wang:Weld. J., 1986, vol. 65, pp. 63s-70s.Google Scholar
- 6.RTC. Choo, J. Szekely, and R.C. Westhoff:Weld. J., 1990, vol. 66, pp. 346s-361s.Google Scholar
- 7.P. Kovitya and L.E. Cram:Weld. J., 1986, vol. 65 (12), pp. 34–39.Google Scholar
- 8.M.C. Tsai and Sindo Kou:Int. J. Heat Mass Transfer, 1990, vol. 33 (10), pp. 2089–98.CrossRefGoogle Scholar
- 9.G.M. Oreper, T.W. Eagar, and J. Szekely:Weld. J., 1983, vol. 62, pp. 307s-312s.Google Scholar
- 10.A. Block-Bolten and T.W. Eagar: inTrends in Welding Research in U.S., S.A. David, ed., ASM, Metal Parks, OH, 1982, pp. 53–73.Google Scholar
- 11.A. Block-Bolten and T.W. Eagar:Metall. Trans. B, 1984, vol. 15B, pp. 461–69.CrossRefGoogle Scholar
- 12.K.C. Hsu, K. Etemadi, and E. Pfender:J. Appl. Phys., 1983, vol. 54, pp. 1293–1301.CrossRefGoogle Scholar
- 13.K.C. Hsu and E. Pfender:J. Appl. Phys., 1983, vol. 54, pp. 4359–66.CrossRefGoogle Scholar
- 14.J. McKelliget and J. Szekely:Metall. Trans. A, 1986, vol. 17A, pp. 1139–48.CrossRefGoogle Scholar
- 15.The Physics of Welding, 2nd ed., J.F. Lancaster, ed., International Institute of Welding, Pergamon Press, Oxford, United Kingdom, 1986, p. 166.Google Scholar
- 16.The Physics of Welding, 2nd ed., J.F. Lancaster, ed., International Institute of Welding, Pergamon Press, Oxford, United Kingdom, 1986, pp. 140–41.Google Scholar
- 17.W.M. Rosenhow and J.P. Hartnett:Handbook of Heat Transfer, McGraw-Hill, New York, NY, 1973, pp. 8–126.Google Scholar
- 18.J.G. Marvin and G.S. Deiwert: NASA Tech. Rept. R-224, 1965.Google Scholar
- 19.H.A. Dinulescu and E. Pfender:J. Appl. Phys., 1980, vol. 51, p. 3149.CrossRefGoogle Scholar
- 20.N.A. Sanders and E. Pfender:J. Phys., 1984, vol. 55, p. 714.Google Scholar
- 21.I.S. Gradshteyn and I.M. Ryzhik:Table of Integrals, Series, and Products, Academic Press, Orlando, FL, 1980, pp. 904–05.CrossRefGoogle Scholar
- 22.G.J. Dunn, C.D. Allemand, and T.W. Eagar:Metall. Trans. A, 1986, vol. 17A, pp. 1851–63.CrossRefGoogle Scholar
- 23.G.J. Dunn and T.W. Eagar:Metall. Trans. A, 1986, vol. 17A, pp. 1865–71.CrossRefGoogle Scholar
- 24.E. Pfender:Pure and Applied Chemistry, 1980, vol. 52, p. 1773.CrossRefGoogle Scholar
- 25.W.M. Pun and D.B. Spalding: Report No. HTS/76/2, Heat Transfer Section, Imperial College, London, 1977.Google Scholar
- 26.C.F. Liu: Ph.D. Thesis, University of Minnesota, Minneapolis, MN, 1977.Google Scholar
- 27.D.L. Evans and R.S. Tankin:Phys. Fluids, 1967, vol. 10, p. 1137.CrossRefGoogle Scholar
- 28.R.C. Westhoff: S.M. Thesis, Massachusetts Institute of Technology, Cambridge, MA, 1989.Google Scholar
- 29.O.H. Nestor:J. Appl. Phys., 1962, vol. 33, pp. 1638–48.CrossRefGoogle Scholar
- 30.M. Lu and S. Kou:Weld. J., 1988, vol. 67, pp. 29s-34s.Google Scholar
- 31.N.S. Tsai and T.W. Eagar:Metall. Trans. B, 1985, vol. 16B, pp. 841–46.CrossRefGoogle Scholar
- 32.H.G. Kraus:Weld. J., 1987, vol. 66, pp. 353s-359s.Google Scholar
- 33.N.S. Tsai: Ph.D. Thesis, Massachusetts Institute of Technology, Cambridge, MA, 1983.Google Scholar
- 34.R.T.C. Choo and J. Szekely:Metall. Trans. B, 1992, vol. 23B, pp. 371–84.CrossRefGoogle Scholar
- 35.T.W. Eagar: Keynote Address,Recent Trends in Welding Science and Technology TWR '89, S.A. David and J.M. Vitek, eds., ASM INTERNATIONAL, Materials Park, OH, 1990, pp. 341–46.Google Scholar
Copyright information
© The Minerals, Metals & Material Society 1992