Understanding of thermal behaviour in keyhole plasma arc welding process through numerical modelling–an overview

References

• Daha MA, Nassef GA, Abdallah IA. Numerical modeling of heat transfer and fluid flow in keyhole plasma arc welding of dissimilar steel joints. Int J Eng Sci Technol. 2012;4:506–518.
   Google Scholar
• Li Y, Wang L, Wu C. A novel unified model of keyhole plasma arc welding. Int J Heat Mass Transf [Internet]. 2019;133:885–894. Available from doi: 10.1016/j.ijheatmasstransfer.2018.12.130
   Web of Science ®Google Scholar
• Li Y, Feng YH, Zhang XX, et al. An improved simulation of heat transfer and fluid flow in plasma arc welding with modified heat source model. Int J Therm Sci [Internet]. 2013;64:93–104. Available from doi: 10.1016/j.ijthermalsci.2012.08.007
   Web of Science ®Google Scholar
• Fan HG, Kovacevic R. Keyhole formation and ­collapse in plasma arc welding. J. Phys. D: appl. Phys. 1999;32(22):2902–2909. doi: 10.1088/0022-3727/32/22/312
   Web of Science ®Google Scholar
• Fuerschbach PW, Knorovsky GA. A study of melting efficiency in plasma arc and gas tungsten arc welding: a method for selecting optimal weld schedules to minimize net heat input is derived from calorimetric measurements. Weld J. 1991;70:287–297.
   Web of Science ®Google Scholar
• Martikainen JK, Moisio TJI. Investigation of the effect of welding parameters on weld quality of plasma arc keyhole welding of structural steels. Weld J. 1993;72:329.
   Web of Science ®Google Scholar
• Vilkas EP. Plasma arc welding of exhaust pipe system components. Weld J. 1991;70:49–52.
   Web of Science ®Google Scholar
• Irving B. Why aren’t airplanes welded? Weld J. 1997;76:31–41.
   Web of Science ®Google Scholar
• Irving B. Plasma arc welding takes on the advanced solid rocket motor. Weld J. 1992;71:49.
   Web of Science ®Google Scholar
• Nunes AC, Jr BaylessJrEO, JonesIIICS, et al. Variable polarity plasma arc welding on the space shuttle external tank. Weld J. 1984;63:1–44.
   Web of Science ®Google Scholar
• Keanini RG, Rubinsky B. Plasma-arc welding under normal and zero gravity. Weld J. 1990;69:41–50.
   Web of Science ®Google Scholar
• Huu MN, Van Nguyen A, Van Nguyen T, et al. Material flow behavior on weld Pool surface in plasma arcwelding process considering dominant driving forces. Appl Sci. 2020;10.
   Google Scholar
• Metcalfe JC, Quigley MBC. Heat transfer in plasma-arc welding. Weld Res Abroad. 1975;54(3):99–104.
   Google Scholar
• Li TQ, Wu CS. Numerical simulation of plasma arc welding with keyhole-dependent heat source and arc pressure distribution. Int J Adv Manuf Technol. 2015;78(1-4):593–602. doi: 10.1007/s00170-014-6685-7
   Web of Science ®Google Scholar
• Liu ZM, Cui SL, Luo Z, et al. Plasma arc welding: process variants and its recent developments of sensing, controlling and modeling. J Manuf Process [Internet]. 2016;23:315–327. Available from doi: 10.1016/j.jmapro.2016.04.004
   Web of Science ®Google Scholar
• Li Y, Feng Y, Li Y, et al. Plasma arc and weld Pool coupled modeling of transport phenomena in keyhole welding. Int J Heat Mass Transf. 2016;92:628–638. doi: 10.1016/j.ijheatmasstransfer.2015.09.016
   Web of Science ®Google Scholar
• Li Y, Feng Y, Zhang X, et al. Energy propagation in plasma arc welding with keyhole tracking. Energy. 2014;64:1044–1056. doi: 10.1016/j.energy.2013.11.018
   Web of Science ®Google Scholar
• Tseng K, Chen Y, Chen Y. Micro plasma arc welding of AM 350 precipitation hardening alloys. AMM. 2011;121-126:2681–2685. doi: 10.4028/www.scientific.net/AMM.121-126.2681
   Google Scholar
• Sahoo A, Tripathy S. Development in plasma arc welding process: a review. Mater Today Proc [Internet]. 2021;41:363–368. Available from: doi: 10.1016/j.matpr.2020.09.562
   Google Scholar
• Hsu YF, Rubinsky B. Two-dimensional heat transfer study on the keyhole plasma arc welding process. Int J Heat Mass Transf. 1988;31(7):1409–1421. doi: 10.1016/0017-9310(88)90250-5
   Web of Science ®Google Scholar
• Jian X, Wu CS. Numerical analysis of the coupled arc-weld Pool-keyhole behaviors in stationary plasma arc welding. Int J Heat Mass Transf [Internet]. 2015;84:839–847. Available from doi: 10.1016/j.ijheatmasstransfer.2015.01.069
   Web of Science ®Google Scholar
• Fortain JM. Plasma welding evolution & challenges. IIW Doc. 2008;12:1–11.
   Google Scholar
• Wu CS, Wang L, Ren WJ, et al. Plasma arc welding: process, sensing, control and modeling. J Manuf Process. 2013;16(1):74–85. doi: 10.1016/j.jmapro.2013.06.004
   Web of Science ®Google Scholar
• Dhinakaran V, Shanmugam NS, Sankaranarayanasamy K. Some studies on temperature field during plasma arc welding of thin titanium alloy sheets using parabolic gaussian heat source model. Proc Inst Mech Eng Part C J Mech Eng Sci. 2017;231(4):695–711. doi: 10.1177/0954406215623574
   Web of Science ®Google Scholar
• Abedifard R, Sadodin S. Numerical modeling of non-Fourier heat transfer and fluid flow during plasma arc welding of AISI 304 stainless steel. Numer Heat Transf Part A Appl. 2016;69(3):311–326. doi: 10.1080/10407782.2015.1080576
   Web of Science ®Google Scholar
• Wu D, Van Nguyen A, Tashiro S, et al. Elucidation of the weld Pool convection and keyhole formation ­mechanism in the keyhole plasma arc welding. Int J Heat Mass Transf [Internet]. 2019;131:920–931. Available from: doi: 10.1016/j.ijheatmasstransfer.2018.11.108
   Web of Science ®Google Scholar
• Pan J, Hu S, Yang L, et al. Numerical analysis of the heat transfer and material flow during keyhole plasma arc welding using a fully coupled tungsten–plasma–anode model. Acta Mater [Internet]. 2016;118:221–229. Available from: doi: 10.1016/j.actamat.2016.07.046
   Web of Science ®Google Scholar
• Dhinakaran V, Siva Shanmugam N, Sankaranarayanasamy K, et al. Analytical and numerical investigations of weld bead shape in plasma arc welding of thin Ti-6al-4v sheets. Simulation. 2017;93(12):1123–1138. doi: 10.1177/0037549717726580
   Google Scholar
• Li TQ, Wu CS, Feng YH, et al. Modeling of the thermal fluid flow and keyhole shape in stationary plasma arc welding. Int J Heat Fluid Flow. 2012;34:117–125. doi: 10.1016/j.ijheatfluidflow.2011.12.004
   Web of Science ®Google Scholar
• Sun J, Wu CS, Feng Y. Modeling the transient heat transfer for the controlled pulse key-holing process in plasma arc welding. Int J Therm Sci. 2011;50(9):1664–1671. doi: 10.1016/j.ijthermalsci.2011.04.008
   Web of Science ®Google Scholar
• Cai J, Feng Y, Zhou J, et al. Numerical analysis of weld Pool behaviors in plasma arc welding with the lattice boltzmann method. Int J Therm Sci [Internet]. 2018;124:447–458. Available from doi: 10.1016/j.ijthermalsci.2017.10.026
   Web of Science ®Google Scholar
• Feng Y, Zhou J, Cai J, et al. A 3-D lattice boltzmann analysis of weld Pool dynamic behaviors in plasma arc welding. Appl Therm Eng. 2018;139:623–635. doi: 10.1016/j.applthermaleng.2018.05.051
   Web of Science ®Google Scholar
• Dowden J, Kapadia P. Plasma arc welding: a mathematical model of the arc. J. Phys. D: appl. Phys. 1994;27(5):902–910. doi: 10.1088/0022-3727/27/5/004
   Web of Science ®Google Scholar
• Schnick M, Füssel U, Spille-Kohoff A. Numerical ­investigations of the influence of design parameters, gas composition and electric current in plasma arc welding (PAW). Weld World. 2010;54(3-4):R87–R96. doi: 10.1007/BF03263492
   Web of Science ®Google Scholar
• Zhang T, Wu CS, Feng Y. Numerical analysis of heat transfer and fluid flow in keyhole plasma arc welding. Numer Heat Transf Part A Appl. 2011;60(8):685–698. doi: 10.1080/10407782.2011.616851
   Web of Science ®Google Scholar
• Wu CS, Zhang T, Feng YH. Numerical analysis of the heat and fluid flow in a weld Pool with a dynamic keyhole. Int J Heat Fluid Flow. 2013;40:186–197. doi: 10.1016/j.ijheatfluidflow.2013.01.006
   Web of Science ®Google Scholar
• Pan JJ, Yang LJ, Hu SS, et al. Numerical analysis of keyhole formation and collapse in variable polarity plasma arc welding. Int J Heat Mass Transf. 2017;109:1218–1228. doi: 10.1016/j.ijheatmasstransfer.2016.12.089
   Web of Science ®Google Scholar
• Wu D, Tashiro S, Hua X, et al. Analysis of the ­energy propagation in the keyhole plasma arc welding using a novel fully coupled plasma arc-keyhole-weld Pool model. Int J Heat Mass Transf [Internet]. 2019;141:604–614. Available from doi: 10.1016/j.ijheatmasstransfer.2019.07.008
   Web of Science ®Google Scholar
• Quigley MBC, Richards PH, Swift-Hook DT, et al. Heat flow to the workpiece from a TIG welding arc. J. Phys. D: appl. Phys. 1973;6(18):2250–2258. doi: 10.1088/0022-3727/6/18/310
   Web of Science ®Google Scholar
• Rosenthal D. Mathematical theory of heat distribution during welding and cutting. Weld J. 1941;20:220s–234s.
   Google Scholar
• Rykalin NN. Calculation of heat processes in welding. 42nd Annu Meet Am Weld Soc. 1960:1–64.
   Google Scholar
• Pavelic V. Experimental and computed temperature histories in gas tungsten arc welding of thin plates. Weld J Res Suppl. 1969;48:296–305.
   Web of Science ®Google Scholar
• Westby O. Temperature distribution in the workpiece by WeldingDept. of Metallurgy and Metals Working, The Technical Univ. of Norway. PhD Dissertation; 1968.
   Google Scholar
• Goldak J, Chakravarti A, Bibby M. A new finite element model for welding heat sources. Metall Trans B. 1984;15(2):299–305. doi: 10.1007/BF02667333
   Web of Science ®Google Scholar
• Wu CS, Wang HG, Zhang YM. A new heat source model for keyhole plasma arc welding in FEM analysis of the temperature profile. Weld J (Miami, Fla). 2006;85:284s–291s.
   Google Scholar
• Wu CS, Hu QX, Gao JQ. An adaptive heat source model for finite-element analysis of keyhole plasma arc welding. Comput Mater Sci [Internet]. 2009;46(1):167–172. Available from doi: 10.1016/j.commatsci.2009.02.018
   Web of Science ®Google Scholar
• Mondal AK, Kumar B, Bag S, et al. Development of avocado shape heat source model for finite element based heat transfer analysis of high-velocity arc welding process. Int J Therm Sci. 2021;166:107005. Int J Therm Sci [Internet]. Available from doi: 10.1016/j.ijthermalsci.2021.107005
   Web of Science ®Google Scholar
• Li Y, Feng Y, Zhang X, et al. An evolutionary keyhole-mode heat transfer model in continuous plasma arc welding. Int J Heat Mass Transf [Internet]. 2018;117:1188–1198. Available from doi: 10.1016/j.ijheatmasstransfer.2017.10.093
   Web of Science ®Google Scholar
• Huo Y, Wu C. Modeling the keyhole shape and ­dimension in plasma arc welding. China Welding. 2009;18(2):17–20.
   Google Scholar
• Jian X, Wu CS, Zhang G, et al. A unified 3D model for an interaction mechanism of the plasma arc, weld Pool and keyhole in plasma arc welding. J. Phys. D: appl. Phys. 2015;48(46):465504. doi: 10.1088/0022-3727/48/46/465504
   Web of Science ®Google Scholar
• Haidar J. Non-equilibrium modelling of transferred arcs. J. Phys. D: appl. Phys. 1999;32(3):263–272. doi: 10.1088/0022-3727/32/3/014
   Web of Science ®Google Scholar
• Sansonnens L, Haidar J, Lowke JJ. Prediction of properties of free burning arcs including effects of ambipolar diffusion. J. Phys. D: appl. Phys. 2000;33(2):148–157. doi: 10.1088/0022-3727/33/2/309
   Web of Science ®Google Scholar
• Lago F, Gonzalez JJ, Freton P, et al. A numerical modelling of an electric arc and its interaction with the anode: part I. The two-dimensional model. J. Phys. D: appl. Phys. 2004;37(6):883–897. doi: 10.1088/0022-3727/37/6/013
   Web of Science ®Google Scholar
• Lowke JJ, Tanaka M. ‘LTE-diffusion approximation’for arc calculations. J. Phys. D: appl. Phys. 2006;39(16):3634–3643. doi: 10.1088/0022-3727/39/16/017
   Web of Science ®Google Scholar
• Li TQ, Wu CS, Chen J. Transient variation of arc heat flux and pressure distribution on keyhole wall in PAW. Weld World. 2016;60(2):363–371. doi: 10.1007/s40194-015-0290-8
   Web of Science ®Google Scholar
• Xu B, Jiang F, Chen S, et al. Numerical analysis of plasma arc physical characteristics under additional constraint of keyhole. Chinese Phys. B. 2018;27(3):034701. doi: 10.1088/1674-1056/27/3/034701
   Web of Science ®Google Scholar
• Li Y, Su C, Wang L, et al. Results in Engineering An easy-to-use multi-physical model to predict weld Pool geometry in keyhole plasma arc welding. Results Eng [Internet]. 2022;14:100429. Available from doi: 10.1016/j.rineng.2022.100429
   Google Scholar
• Daha MA, Nassef GA, Abdallah IA, et al. Three-dimensional thermal finite element modeling for keyhole plasma arc welding of 2205 duplex stainless steel plates. Int J Eng Technol. 2012;2:720–728.
   Google Scholar
• Baruah M, Bag S. Influence of heat input in ­microwelding of titanium alloy by micro plasma arc. J Mater Process Technol [Internet]. 2016;231:100–112. Available from doi: 10.1016/j.jmatprotec.2015.12.014
   Web of Science ®Google Scholar
• Dhinakaran V, Shanmugam NS, Sankaranarayanasamy K. Experimental investigation and numerical simulation of weld bead geometry and temperature distribution during plasma arc welding of thin Ti-6Al-4V sheets. J Strain Anal Eng Des. 2017;52(1):30–44. doi: 10.1177/0309324716669612
   Web of Science ®Google Scholar