Electronic Resource
[S.l.]
:
American Institute of Physics (AIP)
Physics of Fluids
9 (1997), S. 3697-3706
ISSN:
1089-7666
Source:
AIP Digital Archive
Topics:
Physics
Notes:
Continuous solidification processes in thin layers of molten metal are of central importance in many fields of modern metallurgical engineering. This paper deals with unsteady disturbances possibly emerging at the free surface or the phase boundary within the solidification zone of a horizontal strip casting process. Assuming that the wave lengths of the disturbances are large compared to the characteristic depth of the melt, we can apply governing equations for one-dimensional flow. Furthermore, we assume the amplitudes of the disturbances to be so small that their evolution can be regarded as weakly nonlinear. Since unsteady wave propagation phenomena can arise from temperature variations as well as from the excitation of waves at the free surface or the solidification front, both mechanisms will be studied in the following. In the latter case the disturbances at the surface are found to be governed by the inviscid Burgers equations with varying coefficients and will then, in general, develop shock discontinuities. © 1997 American Institute of Physics.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.869507
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