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Volumn 121, Issue 12, 2004, Pages 6052-6063

Effect of hydrodynamic interactions on the evolution of chemically reactive ternary mixtures

Author keywords

[No Author keywords available]

Indexed keywords

BINARY FLUIDS; HYDRODYNAMIC INTERACTIONS; TERNARY FLUIDS;

EID: 5444228795     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1783872     Document Type: Article
Times cited : (21)

References (42)
  • 1
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    • and references therein
    • For an extensive review see: A. J. Bray, Adv. Phys. 43, 357 (1994), and references therein.
    • (1994) Adv. Phys. , vol.43 , pp. 357
    • Bray, A.J.1
  • 23
    • 5444261585 scopus 로고    scopus 로고
    • Ph.D. thesis, University of Jyvakyla
    • A. Koponen, Ph.D. thesis, University of Jyvakyla, 1998.
    • (1998)
    • Koponen, A.1
  • 31
    • 33646988727 scopus 로고
    • M. San Miguel, M. Grant, and J. D. Gunton, Phys. Rev. A 31, 1001 (1985); H. Furukawa, ibid. 31, 1103 (1985).
    • (1985) Phys. Rev. A , vol.31 , pp. 1103
  • 34
    • 5444258380 scopus 로고    scopus 로고
    • note
    • 22 with the assumption that A and B have the same molecular weight and the molecular weight of C is twice as high. To derive the above set of equations Tong employed Reyleigh's variational method. Furthermore, the On-sager coefficients were assumed to be constants, independent of the order parameters.
  • 35
    • 5444250790 scopus 로고    scopus 로고
    • note
    • The late time behavior remains quantitatively the same whether we choose a linear or quadratic dependence of ψ in this term.
  • 36
    • 5444242964 scopus 로고    scopus 로고
    • note
    • The scaling law for the interfacial tension depends on the scaling chosen for the nonlocal coupling term, but is not completely defined by it. Interfacial tension also depends on the actual density profiles along the interfaces. The density profiles are governed by the reaction rates, the effective values of the parameters in the free energy, as well as by the hydrodynamic regimes. The analysis of the scaling for the interfacial tension is a subject of a separate study. In the current work, we only require a reduction of the interfacial tension to zero when the interface is saturated.
  • 40
    • 0035839235 scopus 로고    scopus 로고
    • I. M. Lifshitz and V. V. Slyozov, J. Phys. Chem. Solids 19, 35 (1961); J. Fluid Mech. 440, 147 (2001).
    • (2001) J. Fluid Mech. , vol.440 , pp. 147
  • 41
    • 5444276142 scopus 로고    scopus 로고
    • note
    • The small negative values in the density of C near the phase boundaries in this plot, as well as in Fig. 2. are unphysical and indicate a limit of accuracy for the model. However, we can apply the same model to the case where A, B, and C are not pure components, but A-rich. B-rich, and C-rich regions, where the negative values of C have a real physical meaning.
  • 42
    • 5444240000 scopus 로고    scopus 로고
    • note
    • 2terms in the free energy to zero. In the other words, for the free energy that is rewritten in terms of two order parameters we should choose an appropriate negative value of kφ. Also, in this ease, higher order gradient terms may be needed to describe the A/C (B/C) interface in order for the model to be stable. In addition, for wide regions of C, the equilibrium solution of the kinetic reaction equations (without diffusion) should correspond to the minimum of the free energy in the appropriate region.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.