Dendritic solidification morphology viewed from the perspective of constructal theory

Journal of Physics D: Applied Physics

Volumn 39, Issue 24, 2006, Pages 5252-5266

  Ciobanas, A I ^a   Bejan, A ^b   Fautrelle, Y ^a  

^a Centre National de la Recherche Scientifique   (France)

^b Duke University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; DATA ACQUISITION; PERTURBATION TECHNIQUES; SEMICONDUCTOR GROWTH; STABILITY;

CONSTRUCTAL THEORY; DENDRITIC GROWTH; DENDRITIC SOLIDIFICATION MORPHOLOGY; DIFFUSION CONTROLLED GROWTH;

DENDRIMERS;

EID: 33846852243     PISSN: 00223727     EISSN: 13616463     Source Type: Journal    
DOI: 10.1088/0022-3727/39/24/023     Document Type: Article

References (25)

1. Langer J S and Muler-Krumbhaar H 1978 Theory of dendritic growth:I. Elements of a stability analysis Acta Metall. 26 1681-7
2. Somboonsuk K, Mason J T and Trivedi R 1984 Interdendritic Spacing: I. Experimental Studies Metall. Trans. A 15 967-75
3. Bejan A 1997 Advanced Engineering Thermodynamics 2nd edn (New York: Wiley) pp 794-804
4. Bejan A 2000 Shape and Structure, From Engineering to Nature (Cambridge: Cambridge University Press) pp 175-8
5. Bejan A, Fautrelle Y and da Silva A K 2002 Dendritic solidification structures deduced from constructal theory (unpublished work)
6. Hunt J D 1979 Cellular and primary dendrite spacings Solidification and Casting of Metals (London: Metals Society) pp 3-9
7. Kurtz W and Fisher D J 1981 Dendrite growth at the limit of stability: tip radius and spacing Acta Metall. 29 11-20
8. Lu S-Z and Hunt J D 1992 A numerical analysis of dendritic and cellular array growth: the spacing adjustement mechanism J. Cryst. Growth 123 17-34
9. Ma D and Sahm P R 1998 Primary spacing in directional solidification Metall. Mater. Trans. A 29 1113-9
10. Ma D 2002 Modeling of primary spacing in dendrite arrays during directional solidification Metall. Mater. Trans. B 33 223-33
11. Warren J A and Langer J S 1990 Stability of dendritic arrays Phys. Rev. A 42 3518-25
12. Warren J A and Langer J S 1993 Prediction of dendritic spacing in a directional-solidification experiment Phys. Rev. E 47 2702-12
13. McCartney D G and Hunt J D 1981 Measurements of cell and primary dendrite arm spacings in directionally solidified aluminium alloys Acta Metall. 29 1851-63
14. Young K P and Kirkwood D H 1975 The dendrite arm spacings of aluminium-copper alloys solidified under steady state conditions Metall. Trans. A 6 197-205
15. Eshelman M A, Seetharman V and Trivedi R 1988 Cellular spacing: I. steady state growth Acta Metall. 36 1165-74
16. 2O: the detachement of dendrite side arms induced by deceleration J. Cryst. Growth 234 740-50
17. Bianchi A M, Fautrelle Y and Etay J 2004 Transferts Thermiques (Lausanne: Presses Polytechniques et Universitaires Romandes) pp 339-44
18. Mullins W W and Sekerka R F 1964 Stability of a planar interface during solidification of a dilute binary alloy J. Appl. Phys. 35 444-51
19. Langer J S and Muler-Krumbhaar H 1977 Stability effects in dendritic crystal growth J. Cryst. Growth 42 11-14
20. Bejan A 1984 Convection Heat Transfer (New York: Wiley) pp 215-19
21. Boettinger W J, Warren J A, Beckermann C and Karma A 2002 Phase-field simulation of solidification Annu. Rev. Mater. Res. 32 163-94
22. Ivantsov G P 1947 Temperature field around spherical, cylindrical and needle-shaped crystals which grow in supercooled melt Dokl. Akad. Nauk SSSR 58 567-9
23. Wang C Y and Beckermann C 1996 Equiaxed dendritic solidification with convection: I Multiscale/multiphase Modelling Metall. Mater. Trans. A 27 2754-64
24. Bejan A 2006 Advanced Engineering Thermodynamics 3rd edn (Hoboken, NJ: Wiley) chapter 13
25. Bejan A and Lorente S 2006 Constructal theory of generation of configuration in nature and engineering J. Appl. Phys. 100 041301