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Volumn 10, Issue 6, 2010, Pages 2515-2521

A stochastic model for nucleation kinetics determination in droplet-based microfluidic systems

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EID: 77953165732     PISSN: 15287483     EISSN: 15287505     Source Type: Journal    
DOI: 10.1021/cg900830y     Document Type: Article
Times cited : (117)

References (61)
  • 32
    • 77953167728 scopus 로고    scopus 로고
    • Ph.D. Thesis, University of Illinois at Urbana-Champaign and National University of Singapore.
    • He, G. Ph.D. Thesis, University of Illinois at Urbana-Champaign and National University of Singapore, 2007.
    • (2007)
    • He, G.1
  • 37
    • 77953150962 scopus 로고    scopus 로고
    • sat).
    • sat).
  • 38
    • 77953164699 scopus 로고    scopus 로고
    • -a d a is the gamma function.
    • -a d a is the gamma function.
  • 42
    • 0017430465 scopus 로고
    • Note
    • This manuscript follows the common practice of writing nucleation kinetics in terms of a relative supersaturation defined in terms of concentrations. Strictly speaking, the driving force for nucleation should be written in terms of the chemical potential difference or a ratio of activities of the substance in the solid and liquid states; for example, see Mullin, J. W.; Sohnel, O. Chem. Eng. Sci. 1977, 32, 683, which can be important at high solute concentrations. The stochastic model and associated analysis are valid for nucleation kinetics written in terms of chemical potential, activities, or absolute supersaturation, with obvious modifications
    • (1977) Chem. Eng. Sci. , vol.32 , pp. 683
    • Mullin, J.W.1    Sohnel, O.2
  • 45
    • 77953146772 scopus 로고    scopus 로고
    • Note
    • a is the diffusion activation energy
  • 46
    • 0001417742 scopus 로고
    • Ed.; Marcel Dekker: New York,; p). The dependency of the temperature on time would be included in A and B for a cooling crystallization (such as in
    • Walton, A. G. In Nucleation; Zettlemoyer, A. C., Ed.; Marcel Dekker: New York, 1969; p 238). The dependency of the temperature on time would be included in A and B for a cooling crystallization (such as in
    • (1969) Nucleation , pp. 238
    • Walton, A.G.1    Zettlemoyer, A.C.2
  • 49
    • 0347308440 scopus 로고    scopus 로고
    • the variation on temperature and/or solute concentration would be included explicitly, which would be written as a function of time for each drop as computed from mass and/or energy conservation equations.
    • Bhamidi, V.; Varanasi, S.; Schall, C. A. Cryst. Growth Des. 2002, 2, 395), the variation on temperature and/or solute concentration would be included explicitly, which would be written as a function of time for each drop as computed from mass and/or energy conservation equations.
    • (2002) Cryst. Growth Des. , vol.2 , pp. 395
    • Bhamidi, V.1    Varanasi, S.2    Schall, C.A.3
  • 50
    • 77950553955 scopus 로고    scopus 로고
    • The model and analysis apply to other nucleation expressions as well, and to systems in which the overall nucleation rate decreases with time due to partial rehydration of the droplet (such as in;;;;;) or the nucleation rate decreases with increased solute concentration. The latter could occur, for example, due to the formation of a glassy state.
    • The model and analysis apply to other nucleation expressions as well, and to systems in which the overall nucleation rate decreases with time due to partial rehydration of the droplet (such as in Talreja, S.; Perry, S. L.; Guha, S.; Bhamidi, V.; Zukoski, C. F.; Kenis, P. J. A. J. Phys. Chem. B 2010, 114, 4432) or the nucleation rate decreases with increased solute concentration. The latter could occur, for example, due to the formation of a glassy state.
    • (2010) J. Phys. Chem. B , vol.114 , pp. 4432
    • Talreja, S.1    Perry, S.L.2    Guha, S.3    Bhamidi, V.4    Zukoski, C.F.5    Kenis, P.J.A.6
  • 56
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    • M.S. Thesis, University of Illinois at Urbana-Champaign
    • Goh, L. M. M.S. Thesis, University of Illinois at Urbana-Champaign, 2007.
    • (2007)
    • Goh, L.M.1
  • 57
    • 77953151703 scopus 로고    scopus 로고
    • Because of the low number of parameters, Eq 21 was solved by gridding over the model parameters A and B.
    • Because of the low number of parameters, Eq 21 was solved by gridding over the model parameters A and B.
  • 58
    • 77953153575 scopus 로고    scopus 로고
    • Note
    • The mean induction time (13) was numerically computed using the Matlab quad problem to find the value of inner integral and trapz to find the value of the outer integral, as well as by solving an equivalent system of two ordinary diffusion equations (ODEs) using ode45; one ODE for the inner integral and the second ODE for the outer integral. The same numerical method used for finding the mean can be used to determine the variance (15).
  • 59
    • 77953160830 scopus 로고    scopus 로고
    • Note
    • a as a function of the solute concentration.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.