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A three-dimensional quasi-steady state mathematical model for the coupled arc in double electrode tungsten inert gas (TIG) welding is established based on the fluid dynamic equations and Maxwell equations under the reasonable boundary conditions. By solving these equations, the distributions of temperature, velocity, arc pressure and current density of the coupled arc are obtained. The results accord well with previous experimental results. It is found that the maximum temperature and plasma velocity of the coupled arc decrease compared with those of the TIG arc in the similar conditions. The peak value of arc pressure and current density at the anode surface decline sharply. Both the electrode spacing and arc length have significant influences on temperature and flow field, current density, and arc pressure of the coupled arc. Furthermore, coupled arc pressure and current density at the anode cannot be described by Gaussian assumption.
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Keywords:
- coupled arc /
- three dimension model /
- numerical simulation
[1] Ribic B, Palmer T A, DebRoy T 2009 Sci. Technol. Weld. Join. 54 224
[2] Kobayashi K, Nishimura Y, Lijima T, Ushio M, Tanaka M, Shimamura J, Ueno Y, Yamashita M 2004 Weld. World 48 35
[3] Zhang Y M, jiang M, Lu W 2004 Weld. J. 83 39
[4] Fujii H, Sato T, Lu S, Nogi K 2008 Sci. Eng. 495 29
[5] Leng X, Zhang G, Wu L 2006 J. Phys. D: Appl. Phys. 39 1120
[6] Zhang G, Xiong J, Hu Y 2010 Meas. Sci. Technol. 21 105502
[7] Hsu K C, Mtemadi K, Pfender E 1983 Appl. Phys. 54 11293
[8] Lowke J J, Morrow R, Haidar J 1997 J. Phys. D: Appl. Phys. 30 2033
[9] Kim W H, Fan H G, Na S J 1997 Metall. Mater. Trans. B 28B 679
[10] Choo R T C, Szekely J, Westhoff R C 1992 Metall. Mater. Trans. B 23B 57
[11] Murphy A B, Tanaka M, Yamamoto K, Tashiro S, Sato T, Lowke J J 2009 J. Phys. D: Appl. Phys. 42 194006
[12] Fan D, Ushio M, Matsuda F 1986 Trans. JWRI 15 1
[13] Yuan X Q, Li H, Zhao T Z, Wang F, Yu G Y, Guo W K, Xu P 2004 Acta Phys. Sin. 53 3806 (in Chinese) [袁行球, 李辉, 赵太泽, 王飞, 俞国扬, 郭文康, 须平 2004 物理学报 53 3806]
[14] Tian J G, Deng J, Li Y J, Xu Y X, Sheng H Z 2011 Chin. J. Thoer. Appl. Mech. 43 32 (in Chinese) [田君国, 邓晶, 李要建, 徐永香, 盛宏至 2011 力学学报 43 32]
[15] Shi Y, Guo C B, Huang J K, Fan D 2011 Acta Phys. Sin. 60 048102 (in Chinese) [石玗, 郭朝博, 黄健康, 樊丁 2011 物理学报 60 048102]
[16] Xu G, Hu J, Tsai H L 2008 J. Appl. Phys. 104 103301
[17] Freton P, Gonzalez J J, Gleizes A 2000 J. Phys. D: Appl. Phys. 33 2442
[18] Lago F, Gonzalez J J, Freton P, Uhlig F, Lucius N, Piau G P 2006 J. Phys. D: Appl. Phys. 39 2294
[19] Li H P, Chen X 2001 Chin. Phys. 11 44
[20] Yin X, Gou J, Zhang J, Sun J 2012 J. Phys. D: Appl. Phys. 45 285203
[21] Ogino Y, Hirata Y, Nomura K 2011 J. Phys. D: Appl. Phys. 44 215202
[22] Lancaster J F 1986 The Physics of Welding (2nd Ed.) (Oxford: Oxford Pergamon) p28
[23] Nestor O H 1962 J. Appl. Phys. 33 1638
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[1] Ribic B, Palmer T A, DebRoy T 2009 Sci. Technol. Weld. Join. 54 224
[2] Kobayashi K, Nishimura Y, Lijima T, Ushio M, Tanaka M, Shimamura J, Ueno Y, Yamashita M 2004 Weld. World 48 35
[3] Zhang Y M, jiang M, Lu W 2004 Weld. J. 83 39
[4] Fujii H, Sato T, Lu S, Nogi K 2008 Sci. Eng. 495 29
[5] Leng X, Zhang G, Wu L 2006 J. Phys. D: Appl. Phys. 39 1120
[6] Zhang G, Xiong J, Hu Y 2010 Meas. Sci. Technol. 21 105502
[7] Hsu K C, Mtemadi K, Pfender E 1983 Appl. Phys. 54 11293
[8] Lowke J J, Morrow R, Haidar J 1997 J. Phys. D: Appl. Phys. 30 2033
[9] Kim W H, Fan H G, Na S J 1997 Metall. Mater. Trans. B 28B 679
[10] Choo R T C, Szekely J, Westhoff R C 1992 Metall. Mater. Trans. B 23B 57
[11] Murphy A B, Tanaka M, Yamamoto K, Tashiro S, Sato T, Lowke J J 2009 J. Phys. D: Appl. Phys. 42 194006
[12] Fan D, Ushio M, Matsuda F 1986 Trans. JWRI 15 1
[13] Yuan X Q, Li H, Zhao T Z, Wang F, Yu G Y, Guo W K, Xu P 2004 Acta Phys. Sin. 53 3806 (in Chinese) [袁行球, 李辉, 赵太泽, 王飞, 俞国扬, 郭文康, 须平 2004 物理学报 53 3806]
[14] Tian J G, Deng J, Li Y J, Xu Y X, Sheng H Z 2011 Chin. J. Thoer. Appl. Mech. 43 32 (in Chinese) [田君国, 邓晶, 李要建, 徐永香, 盛宏至 2011 力学学报 43 32]
[15] Shi Y, Guo C B, Huang J K, Fan D 2011 Acta Phys. Sin. 60 048102 (in Chinese) [石玗, 郭朝博, 黄健康, 樊丁 2011 物理学报 60 048102]
[16] Xu G, Hu J, Tsai H L 2008 J. Appl. Phys. 104 103301
[17] Freton P, Gonzalez J J, Gleizes A 2000 J. Phys. D: Appl. Phys. 33 2442
[18] Lago F, Gonzalez J J, Freton P, Uhlig F, Lucius N, Piau G P 2006 J. Phys. D: Appl. Phys. 39 2294
[19] Li H P, Chen X 2001 Chin. Phys. 11 44
[20] Yin X, Gou J, Zhang J, Sun J 2012 J. Phys. D: Appl. Phys. 45 285203
[21] Ogino Y, Hirata Y, Nomura K 2011 J. Phys. D: Appl. Phys. 44 215202
[22] Lancaster J F 1986 The Physics of Welding (2nd Ed.) (Oxford: Oxford Pergamon) p28
[23] Nestor O H 1962 J. Appl. Phys. 33 1638
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