Phase-field simulation of a Fe-Mn alloy under forced flow conditions

The European Physical Journal Special Topics - Tập 177 - Trang 193-205 - 2009
R. Siquieri1, J. Rezende1, J. Kundin1, H. Emmerich1
1Center for Computational Engineering Science and Institute of Minerals Engineering, RWTH Aachen University, Aachen, Germany

Tóm tắt

In this work a study through numerical simulation of dendritic growth for the system Fe-Mn under the influence of a forced flow field is presented. The investigations are based on an extension of the quantitative phase-field approach developed by Echebarria et. al. Phy. Rev. E 061604 (2004), to simulate the solidification of Fe-Mn under the influence of a forced flow field. The simulations are performed for isothermal conditions and the investigation concentrates on the effects of forced flow on the dendrite morphology during the growth dynamics. The effects of forced flow on microsegregation are also discussed.

Tài liệu tham khảo

R. Siquieri, H. Emmerich, Phil. Mag. Lett. 87, 829 (2007)

H. Emmerich, Adv. Phys. 57, 1 (2008)

X. Tong, C. Beckermann, A. Karma, Q. Li, Phys. Rev. E 63, 061601 (2001)

A. Karma, W.J. Rappel, Phys. Rev. E 53, 3017 (1996)

A. Karma, W.J. Rappel, Phys. Rev. E 57, 4323 (1998)

R.F. Almgren, SIAM J. Appl. Math. 59, 2086 (1999)

A. Karma, Phys. Rev. Lett. 87, 115701 (2001)

B. Echebarria, R. Folch, A. Karma, M. Plapp, Phys. Rev. E 70, 061604 (2004)

R. Folch, M. Plapp, Phys. Rev. E 72, 011602 (2005)

D. Medvedev, K. Kassner, J. Cryst. Growth 275, 1496 (2005)

N. Zabaras, B. Ganapathysubramanian, L. Tan, J. Comp. Phys. 218, 200 (2006)

P. Zhao, J.C. Heinrich, D.R. Poirier, Int. J. Numer. Meth. Fluids 49, 233 (2005)

J.H. Lee, S. Liu, R. Trivedi, Metall. Mater. Trans. A 36, 3111 (2005)

S.R. Coriell, G.B. McFadden, W.F. Mitchell, B.T. Murray, J.B. Andrews, Y. Arikawa, J. Cryst. Growth 224, 145 (2001)

R. Tönhardt, G. Amber, J. Cryst. Growth 194, 406 (1998)

D. Medvedev, K. Kassner, Phys. Rev. E 72, 056703 (2005)

D. Medvedev, T. Fischaleck, K. Kassner, Phys. Rev. E 74, 031606 (2006)

C. Beckermann, H.J. Diepers, I. Steinbach, et al., J. Comp. Phys. 154, 468 (1999)

E. Bänsch, A. Schmidt, Inter. Free Bound. 2, 95 (2000)

R. Siquieri, H. Emmerich, M. Jurgk, Eur. Phys. J. Special Topics 149, 27 (2007)

J. Eiken, B. Boettger, I. Steinbach, Phys. Rev. E 73, 066122 (2006)

M. Plapp, J. Cryst. Growth 303, 49 (2007)

M. Griebel, T. Dornseifer, T. Neunhoeffer (SIAM, Philadelphia, 1997)

A.A. Amsden, F.H. Harlow, J. Comp. Phys. 6, 332 (1970)

P.R. Cha, D.H. Yeon, J.K. Yoon, Acta Mater. 49, 3295 (2001)

Vinnikov, L.Yu. Georgieva, L.G. Maisterenko, Metallofizika 55, 24 (1974)