Modelling turbulent thermofluid flow in stationary gas tungsten arc weld pools

Abstract

The effects of turbulence in stationary gas tungsten arc (GTA) welds in AISI 304 stainless steel were examined using a finite element thermofluids model. The model includes buoyancy, Lorentz and Marangoni driven fluid flow, a large deformation model of the free surface, and a k–∊ turbulence model. To facilitate implementation of the wall function boundary conditions for the k–∊ turbulence model, a dynamic numerical grid remapping technique was used to clearly separate elements in the liquid from those in the solid. The influences of sulphur content of AISI 304 stainless steels on the turbulent viscosity, fluid flow, and weld pool dimensions were simulated. Good correlation between experimentally observed and predicted weld pool shapes and dimensions was obtained. Also, the effect of sulphur concentration on AISI 304 weld pool dimensions was correctly predicted. The simulations indicate that the flow in such stationary GTA weld pools in AISI 304 stainless steel is not laminar and that quantitatively accurate predictions of weld pool fluid flow and weld shapes and dimensions will only be possible if the effects of turbulence in GTA weld pools are modelled correctly.

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References

Ishizaki

, Araki

, and Murai

: J. Jpn Weld. Soc., 1965, 34, (2), 146–153 (in Japanese).

Zacharia

, Vitek

J. M.

, Goldak

J. A.

, Debroy

T. A.

, Rappaz

, and Bhadeshia

H. K. D. H.

: Model. Simul. Mater. Sci. Eng., 1995, 3, 265–288.

Oreper

G. M.

, Eagar

T. W.

, and Szekely

: Weld. J., 1983, 62, (11), 307s–312s.

Kou

and Sun

D. K.

: Metall. Trans. A, 1985, 16A, (2), 203–213.

Kou

and Wang

Y. H.

: Weld. J., 1986, 63, (3), 63s–70s.

Kou

and Wang

Y. H.

: Metall. Trans. A, 1986, 17A, (12), 2265–2270.

Zacharia

, Eraslan

A. H.

, and Aidun

D. K.

: Weld. J., 1988, 67, (1), 18s–27s.

Tsao

K. C.

and Wu

C. S.

: Weld. J., 1988, 67, (3), 70s–75s.

Tsai

M. C.

and Kou

: Int. J. Numer. Methods Fluids, 1989, 9, (12), 1503–1506.

10.

Zacharia

, S. A. david, J. M. vitek, and T. Debroy: Weld. J., 1989, 68, (12), 510s–519s.

11.

Choo

R. T. C.

, Szekely

, and Westhoff

R. C.

: Weld. J., 1990, 69, (9), 346s–361s.

12.

Choo

R. T. C.

, Szekely

, and David

S. A.

: Metall. Trans. B, 1992, 23B, (6), 371–384.

13.

Matsunawa

: in ‘International trends in welding science and technology’, (ed. S. A. David and J. M. Vitek), 3–16; 1993, Materials Park, OH, ASM International.

14.

Choo

R. T. C.

and Szekely

: Weld. J., 1994, 73, (2), 25s–31s.

15.

Hong

, Weckman

D. C.

, and Strong

A. B.

: in ‘Trends in welding research’, (ed. H. B. Smartt et al.), 399–404; 1996, Materials Park, OH, ASM International.

16.

Pitscheneder

, Debroy

, Mundra

, and Ebner

: Weld. J., 1996, 75, (3), 71s–80s.

17.

Mundra

, Debroy

, Babu

S. S.

, and David

S. A.

: Weld. J., 1997, 76, (4), 163s–171s.

18.

C. S.

, Zheng

, and Wu

: Model. Simul. Mater. Sci. Eng., 1999, 7, (1), 15–23.

19.

Ohring

and Lugt

H. J.

: Weld. J., 1999, 78, (12), 416s–424s.

20.

Yang

, Elmer

J. W.

, Wong

, and Debroy

: Weld. J., 2000, 79, (4), 97s–112s.

21.

Debroy

and David

S. A.

: Rev. Mod. Phys., 1995, 67, (1), 85112.

22.

Debroy

: in ‘International trends in welding science and technology’, (ed. S. A. David and J. M. Vitek), 17–25; 1992, Materials Park, OH, ASM International.

23.

Lancaster

J. F.

: IEE Proc. B, 1987, 134B, (5), 233–254.

24.

Lancaster

J. F.

: IEE Proc. B, 1987, 134B, (6), 297–316.

25.

Jonsson

P. G.

, Szekely

, Choo

R. T. C.

, and Quinn

T. P.

: Model. Simul. Mater. Sci. Eng., 1994, 2, (5), 995–1016.

26.

Malinowskibrodnicka

, Den Ouden

, and VinK

W. J. P.

: Weld. J., 1990, 69, (2), 52s–59s.

27.

Launder

B. E.

and Spalding

D. B.

: Comput. Methods Appl. Mech. Eng., 1974, 3, 269–289.

28.

Yang

and Debroy

: Metall. Trans. B, 1999, 30B, (3), 483–493.

29.

Zhao

and Debroy

: Metall. Trans. B, 2001, 32B, (1), 163–172.

30.

Choo

R. T. C.

: personal communications, University of Toronto, ON, Canada, 1994.

31.

Hong

: ‘A comprehensive thermo-fluids model of arc welding processes’, PhD thesis, University of Waterloo, Ont., Canada, 1996.

32.

Weckman

D. C.

, Mallory

L. C.

, and Kerr

H. W.

: Z. Metallkd., 1989, 80, (7), 121–131.

33.

Schoeck

P. A.

: ‘Modern developments in heat transfer’, 353–400; 1963, New York, Academic Press.

34.

Lin

M. L.

and Eagar

T. W.

: Weld. J., 1985, 64, (6), 163s–169s.

35.

KIM

S. D.

and Na

S. J.

: Weld. J., 1992, 71, (5), 179s–193s.

36.

Tsai

M. C.

and Kou

: Numer. Heat Transfer A, 1990, 17, 73–89.

37.

Zacharia

, David

S. A.

, and Vitek

J. M.

: Metall. Trans. B, 1991, 22B, (4), 233–241.

38.

Smartt

H. B.

, Stewart

J. A.

, and Einerson

C. J.

: Proc. 85th ASM International Welding Congress, Toronto, Ont., Canada, October 1985, ASM International, paper 8511–011.

39.

Tsai

N. S.

and Eagar

T. W.

: Metall. Trans. B, 1985, 16B, (4), 841–846.

40.

Huang

and Thomas

B. G.

: Metall. Trans. B, 1993, 24B, (2), 379–393.

41.

Blockbolten

and Eagar

T. W.

: Metall. Trans. B, 1984, 15B, (3), 461–469.

42.

Sahoo

, Debroy

, and Mcnallan

M. J.

: Metall. Trans. B, 1988, 19B, (3), 483–491.

43.

Minkowycz

W. J.

, Sparrow

E. M.

, Schneider

G. E.

, and Pletcher

R. H.

: in ‘Handbook of numerical heat transfer’, 905–947; 1988, New York, John Wiley & Sons.

44.

Kelly

D. W.

, Nakazawa

, Zienkiewicz

O. C.

, and Heinrich

J. C.

: Int. J. Numer. Methods Eng., 1980, 15, (11), 1705–1711.

45.

Kraus

H. G.

: Weld. J., 1989, 68, (7), 269s–279s.

46.

Mundra

and Debroy

: Weld. J., 1991, 72, (1), 1s–9s.

47.

Mundra

and Debroy

: Metall. Trans. B, 1993, 24B, (1), 146–155.

48.

Gupta

A. K.

and Lilley

D. G.

: ‘Flowfield modelling and diagnostics’, 45–46; 1985, Tunbridge Wells, Kent, UK, Abacus Press.

49.

Khalil

E. E.

, Spalding

D. B.

, and Whitelaw

J. H.

: Int. J. Heat Mass Transfer, 1975, 18, (6), 775–791.