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Volumn 66, Issue 4, 2002, Pages 11-

Surface instability of icicles

Author keywords

[No Author keywords available]

Indexed keywords

FLOW OF WATER; HEAT TRANSFER; HYDRODYNAMICS; LAMINAR FLOW; MELTING; SURFACE PHENOMENA; THERMAL DIFFUSION; THERMAL EFFECTS;

EID: 41349118486     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.66.041202     Document Type: Article
Times cited : (34)

References (24)
  • 8
    • 85036132358 scopus 로고    scopus 로고
    • S. Matsuda, Master’s thesis, Institute of Low Temperature Science, Hokkaido University, 1997 (in Japanese)
    • S. Matsuda, Master’s thesis, Institute of Low Temperature Science, Hokkaido University, 1997 (in Japanese).
  • 9
    • 36849120852 scopus 로고
    • see also Tamas Vicsek, Fractal Growth Phenomena (World Scientific, Singapore, 1989);, for the theory of Crystal Growth, general textbooks are, for example, Ivan V. Markov, Crystal Growth for Beginners (World Scientific, Singapore, 1995);, A. A. Chernov, Modern Crystallography III, Springer Series in Solid-State Sciences 36 (Springer, Berlin, 1984)
    • W.W. Mullins and R.F. Sekerka, J. Appl. Phys. 35, 444 (1964);see also Tamas Vicsek, Fractal Growth Phenomena (World Scientific, Singapore, 1989);for the theory of Crystal Growth, general textbooks are, for example, Ivan V. Markov, Crystal Growth for Beginners (World Scientific, Singapore, 1995);A. A. Chernov, Modern Crystallography III, Springer Series in Solid-State Sciences 36 (Springer, Berlin, 1984).
    • (1964) J. Appl. Phys. , vol.35 , pp. 444
    • Mullins, W.W.1    Sekerka, R.F.2
  • 14
    • 85036345174 scopus 로고    scopus 로고
    • G.D. Ashton (unpublished)
    • G.D. Ashton (unpublished);
  • 17
    • 0013725855 scopus 로고
    • K.S. Hsu, Ph.D. thesis, University of Iowa, 1973, p. 147
    • R.R. Gilpin, T. Hirata, and K.C. Cheng, J. Fluid Mech. 99, 619 (1980);K.S. Hsu, Ph.D. thesis, University of Iowa, 1973, p. 147;
    • (1980) J. Fluid Mech. , vol.99 , pp. 619
    • Gilpin, R.R.1    Hirata, T.2    Cheng, K.C.3
  • 23
    • 85036196053 scopus 로고    scopus 로고
    • L. Landau and E. Lifschitz, Fluid Mechanics, 2nd ed. (Pergamon, Oxford, UK, 1987)
    • L. Landau and E. Lifschitz, Fluid Mechanics, 2nd ed. (Pergamon, Oxford, UK, 1987).
  • 24
    • 85036153024 scopus 로고    scopus 로고
    • The amplification rate of a wave (fluctuation) depends on its wavelength. Only the wave with the largest amplification rate can survive during the development of the fluctuations, and other modes will be observed as lower-amplitude noise. The constant rate of (Formula presented) means that the growth is exponential in time; hence, small differences in this constant result in large differences in the fluctuation amplitude at long times. In this sense, a mode distribution like that in Fig. 44 will be hidden in the external noise and thus not observed in experiments. This situation is the same as that in the original MS theory
    • The amplification rate of a wave (fluctuation) depends on its wavelength. Only the wave with the largest amplification rate can survive during the development of the fluctuations, and other modes will be observed as lower-amplitude noise. The constant rate of (Formula presented) means that the growth is exponential in time; hence, small differences in this constant result in large differences in the fluctuation amplitude at long times. In this sense, a mode distribution like that in Fig. 44 will be hidden in the external noise and thus not observed in experiments. This situation is the same as that in the original MS theory.


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