A cellular automaton model of ‘free’ dendritic growth has been used to produce a variety of simulated dendrite morphologies. Different primary and secondary dendrite arm spacings were produced by altering two key parameters in the model; the initial supercooling in the liquid and γ, which represents the solid–liquid interfacial energy in the model. An attempt to quantify the morphological variations has been made using computed hydraulic radii. For comparison hydraulic radii and secondary dendrite arm spacings are included, as measuredfrom an aluminium alloy casting.
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References
1.
CHALMERSB.: ‘Principles of solidification’, Chapter 4; 1964, New York, Wiley
2.
IVANTSOVG. P.: Dokl. Akad. Nauk, 1947, 58, 567.
3.
TumturrD. E.: Dokl. Akad. Nauk, 1960, 132, 1307.
4.
ROLLINGG. F. and TILLERW. A.: J. Appl. Phys.,1961, 32, 2587.
5.
GLICKSMANM. E. and SCHAEFERR. J.: J. Cryst. Growth.,1967, 1, 297.
6.
TARSHISL. A. and KOTLERG. R.: J. Cryst. Growth, 1968,2, 222.
7.
SEKERKAR. F., SEIDENSTICKERR. G., HAMILTOND. R., and HARRISONJ. D.: ‘Investigation of desalination by freezing’, Westinghouse Research Laboratory Report, 1967.
8.
HOLTZMANNE. G.: J. Appl. Phys., 1970, 41, 1460.
9.
TRIVEDIR.: Acta Metall., 1970, 18, 287.
10.
NASHG. E. and GLICKSMANM. E.: Acta Metall., 1974,22, 1283.
11.
BURDENM. D. and HUNTJ. D.: J. Cryst. Growth, 1974, 22, 109.
12.
JINt. and PURDYG. R.: J. Cryst. Growth, 1974, 23, 29.
13.
KIRCALDYJ. S.: Scr. Metall.,1980, 14, 739.
14.
TRIVEDIR.: J. Cryst. Growth, 1980, 49, 219.
15.
KURZW. and FISHERJ. D.: Acta Metall., 1981, 29, 11.
16.
LAXMANANV.: Acta Metall., 1985, 33, 1023–1037.
17.
OLDFIELDW.: ‘The solidification of metals’, 70–73; 1968, London, The Iron and Steel Institute.
18.
oLDFIRLDw.: Mat. Sci. Eng.,1973, 11, 211.
19.
HUNTJ. D.: Acta Metall. Mater.,1991, 39, 2117.
20.
WEISBUCHG. and RYCKEBUSCHs.: ‘Complex systems dynamics’, 36; 1991, Redwood City, Addison Wesley.
21.
PACKARDN. H.: ‘Theory and applications of cellular automata’, 305; 1986, Singapore, World Scientific.
22.
BROWNS. G. R. and SPITTLEJ. A.: Scr. Metall. Mater.,1992, 27, 1599.
23.
BROWNS. G. R., WILLIAMST. E., and SPITTLEJ. A.: Acta Metall. Mater.,1994, 42, 2893.
24.
SPITTLEJ. A. and BROWNS. G. R.: Acta Metall. Mater., 1994, 42, 1811.
25.
RICHARDSE C., MEYERT. P., and PACKARDN. H.: ‘Cellular automata: theory and experiment’, (ed.GutowitzH., 189; 1991, Amsterdam, Elsevier Science Publishers.
26.
KURZW. and mumD. J.: ‘Fundamentals of solidification’, 87; 1986, Switzerland, Trans Tech Publications.
27.
SPITTLEJ. A., AL-MESEIHEDANIM., and BROWNS. G. R.: in PTOC. Conf. ‘Numerical methods in thermal problems VII’, (ed. LewisR. S. et al.), 269;1991, Swansea, Pineridge Press.
28.
MARSHS. P. and GLICKSMANM. E.: in ‘Modelling of casting, welding and advanced solidification processes VI’, (ed. PiwonkaT. S. et al.), 55; 1993, The Minerals, Metals and Materials Society.
