Stability of a Planar Interface During Solidification of a Dilute Binary Alloy

Journal of Applied Physics - Tập 35 Số 2 - Trang 444-451 - 1964
W. W. Mullins1, Robert F. Sekerka2
1Department of Metallurgical Engineering, Carnegie Institute of Technology, Pittsburgh, Pennsylvania
2Physics Department, Harvard University, Cambridge, Massachusetts

Tóm tắt

The stability of the shape of a moving planar liquid-solid interface during the unidirectional freezing of a dilute binary alloy is theoretically investigated by calculating the time dependence of the amplitude of a sinusoidal perturbation of infinitesimal amplitude introduced into the planar shape. The calculation is accomplished by using gradients of the steady-state thermal and diffusion fields satisfying the perturbed boundary conditions (capillarity included) to determine the velocity of each element of interface, a procedure justified in some detail. Instability occurs if any Fourier component of an arbitrary perturbation grows; stability occurs if all components decay. A stability criterion expressed in terms of growth parameters and system characteristics is thereby deduced and is compared with the currently used stability criterion of constitutional supercooling; some very marked differences are discussed.

Từ khóa


Tài liệu tham khảo

1953, Can. J. Phys., 31, 15, 10.1139/p53-003

1953, Acta Met., 1, 428, 10.1016/0001-6160(53)90126-6

1956, Can. J. Phys., 34, 729, 10.1139/p56-083

1960, Dokl. Akad. Nauk. SSSR, 133, 174

1960, Soviet Phys.-Doklady, 5, 609

1963, J. Appl. Phys., 34, 323, 10.1063/1.1702607

Thông tin
Thông tin xuất bản

Journal of Applied Physics

Tập 35 Số 2

444-451

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