The free-surface temperature history of the melt spinning of copper measured by Tenwick and Davies [C3] is compared with those calculated using a thermokinetic model assuming different parameters. The heat-transfer coefficient, nucleation temperature and the crystal-growth kinetics were thus estimated for the melt spinning of copper at a wheel speed of 35 ms(-1) as follows : heat-transfer coefficient during liquid cooling stage HL = 1.0 x 10(7) Wm(-2) K-1, heat-transfer coefficient after solidification finished HS = 1.0 x 10(5) Wm(-2) K-1, heat-transfer coefficient during solidification H = 1.0 x 10(7)-1.2 x 10(11) (t-t(n)) (Wm(-2) K-1), the nucleation temperature T-n approximate to 1233 K and the crystal-growth kinetic law V = 4.0 x 10(-3) Delta T-1.1 (ms(-1)).