Research Article
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Free Energy Change of Droplet Formation in a Supersaturated Vapor

Year 2016, Volume: 42 Issue: 2, 179 - 188, 28.10.2016

Abstract

The behavior of the
pure substances during the condensation of liquid droplets in a supersaturated
vapor and, the mechanism of homogeneous nucleation of vapor to liquid droplets
that may occur as a result of large amplitude density fluctuations within the coexistence
line in the metastable region have been investigated. The free energy change
accompanying the formation of a critical water drop is calculated as a function
of droplet radius for various saturation ratios on the basis of Fisher’s model.
It is observed that a geometric term due to the fact that the surface of a drop
relaxes to spherical shape which reduces the total entropy associated with the
surface free energy, produces significant changes in total free energy change
of critical droplet formation.

References

  • Abraham FF (1979). On the thermodynamic, structure and phase stability of the nonuniform fluid state,, Physics Reports 53, 93–156.
  • Boucher EA (1969). Nucleation, Zettlemoyer A C (ed.). p. 535. Dekker, New York.
  • Dillmann A, Meier GEA (1991). A rafined droplet approach to the problem of homogeneous nucleation from the vapor phase, The Journal of Chemical Physics 94, 3872–3884.
  • Elliott JB, Moretto LG, Phair L (2002). Liquid to vapor phase transition in excited nuclei, Physical Review Letters 88, 042701- 042704.
  • Fisher ME (1967). Theory of condensation and critical point, Physics 3, 255–283.
  • Fisher ME (1982). Proceedings of the School on Critical Phenomena, Stellenbosch, South Africa, edited by F.J.W. Hahne (Springer-Verlag, Berlin, 1983), Vol. 186, Chap. 1.
  • Fletcher NH (1993). Van der waals equation and nucleation theory, European Journal of Physics 14, 29–35.
  • Goodman AL, Kapusta JI, Mekjian AZ (1984). Liquidgas phase instabilities at subnuclear densities, Physical Review C 30, 851–865.
  • Guggenheim E (1945). The principle of corresponding states, The Journal of Chemical Physics 13, 253–261.
  • Kalikmanov VI, van Dongen MEH (1995). Semiphenomenological theory of homogeneous vapor-liquid nucleation, The Journal of Chemical Physics 103, 4250–4255.
  • Koyuncu M, Demirtas A, Ogul R (2002). Excess properties of liquid mixtures from the perturbation theory of Barker-Henderson, Fluid Phase Equilibria 193, 87–95.
  • Lienhard JH, Karimi A (1981). Homogeneous nucleation and the spinodal line, Journal of Heat Transfer 103, 61–64.
  • Ogul R (1998). On the spinodal instabilities at subnuclear densities, International Journal of Modern Physics E 7, 419–424.
  • Ogul R, Atav U (2003). Investigating the droplet formation in a nucleonic vapor, Physica Scripta 67, 34–36.
  • Poole PH, Sciortino F, Essmann U, Stanley HE (1993). Spinodal of liquid water, Physical Review E 48, 3799-3817.
  • Reid RC, Prausnitz JM, Poling BE (1987). The properties of gases and liquids. McGraw-Hill, New York.
  • Schmidt M, Kusche R, Kronmüller W, Issendorff B, Haberland H (1997). Experimental determination of the melting point and heat capacity for a free cluster of 139 sodium atoms, Physical Review Letters 79, 99-102.
  • Shamsundar N, Lienhard JH (1993). Equation of state and spinodal lines-a review, Nuclear Engineering and Design 141, 269–287.
  • Vicentini A, Jacucci G, Pandharipande VR (1985). Fragmentation of hot classical drops, Physical Review C 31, 1783-1793.
  • Wolk J, Strey R (2002). Emprical function for homogeneous water nucleation rates, The Journal of Chemical Physics 117, 4954-4960.

Süperdoyumdaki Buhar İçinde Damlacık Oluşumunun Serbest Enerji Değişimi

Year 2016, Volume: 42 Issue: 2, 179 - 188, 28.10.2016

Abstract

Süperdoymuş bir buhar içinde damlacık oluşumu sırasında saf bir numunenin
davranışı ve yarı sıvı-gaz faz eğrisi altındaki kararlı bölgedeki büyük
genlikli yoğunluk dalgalanmaları sonucunda buhar fazından damlacıklar oluşumu
süreçleri araştırılmıştır. Fisher modeli temelinde, çeşitli doyma oranları
için, kritik su damlacıklarının oluşumu esnasındaki serbest enerji değişimleri
damlacık yarıçapının bir fonksiyonu olarak hesaplanmıştır. Damlacık yüzeyinin
küresel şekil alması ile yüzey serbest enerjisi ile bağlantılı olan toplam
entropinin azalmasını tanımlayan geometrik terimin kritik damlacık oluşumlarını
tanımlayan toplam serbest enerjide anlamlı değişmelere neden olduğu gözlenmiştir.

References

  • Abraham FF (1979). On the thermodynamic, structure and phase stability of the nonuniform fluid state,, Physics Reports 53, 93–156.
  • Boucher EA (1969). Nucleation, Zettlemoyer A C (ed.). p. 535. Dekker, New York.
  • Dillmann A, Meier GEA (1991). A rafined droplet approach to the problem of homogeneous nucleation from the vapor phase, The Journal of Chemical Physics 94, 3872–3884.
  • Elliott JB, Moretto LG, Phair L (2002). Liquid to vapor phase transition in excited nuclei, Physical Review Letters 88, 042701- 042704.
  • Fisher ME (1967). Theory of condensation and critical point, Physics 3, 255–283.
  • Fisher ME (1982). Proceedings of the School on Critical Phenomena, Stellenbosch, South Africa, edited by F.J.W. Hahne (Springer-Verlag, Berlin, 1983), Vol. 186, Chap. 1.
  • Fletcher NH (1993). Van der waals equation and nucleation theory, European Journal of Physics 14, 29–35.
  • Goodman AL, Kapusta JI, Mekjian AZ (1984). Liquidgas phase instabilities at subnuclear densities, Physical Review C 30, 851–865.
  • Guggenheim E (1945). The principle of corresponding states, The Journal of Chemical Physics 13, 253–261.
  • Kalikmanov VI, van Dongen MEH (1995). Semiphenomenological theory of homogeneous vapor-liquid nucleation, The Journal of Chemical Physics 103, 4250–4255.
  • Koyuncu M, Demirtas A, Ogul R (2002). Excess properties of liquid mixtures from the perturbation theory of Barker-Henderson, Fluid Phase Equilibria 193, 87–95.
  • Lienhard JH, Karimi A (1981). Homogeneous nucleation and the spinodal line, Journal of Heat Transfer 103, 61–64.
  • Ogul R (1998). On the spinodal instabilities at subnuclear densities, International Journal of Modern Physics E 7, 419–424.
  • Ogul R, Atav U (2003). Investigating the droplet formation in a nucleonic vapor, Physica Scripta 67, 34–36.
  • Poole PH, Sciortino F, Essmann U, Stanley HE (1993). Spinodal of liquid water, Physical Review E 48, 3799-3817.
  • Reid RC, Prausnitz JM, Poling BE (1987). The properties of gases and liquids. McGraw-Hill, New York.
  • Schmidt M, Kusche R, Kronmüller W, Issendorff B, Haberland H (1997). Experimental determination of the melting point and heat capacity for a free cluster of 139 sodium atoms, Physical Review Letters 79, 99-102.
  • Shamsundar N, Lienhard JH (1993). Equation of state and spinodal lines-a review, Nuclear Engineering and Design 141, 269–287.
  • Vicentini A, Jacucci G, Pandharipande VR (1985). Fragmentation of hot classical drops, Physical Review C 31, 1783-1793.
  • Wolk J, Strey R (2002). Emprical function for homogeneous water nucleation rates, The Journal of Chemical Physics 117, 4954-4960.
There are 20 citations in total.

Details

Journal Section Research Articles
Authors

Nuretdin Eren

Nihal Buyukcizmeci

Rıza Oğul

Publication Date October 28, 2016
Submission Date February 2, 2017
Published in Issue Year 2016 Volume: 42 Issue: 2

Cite

APA Eren, N., Buyukcizmeci, N., & Oğul, R. (2016). Süperdoyumdaki Buhar İçinde Damlacık Oluşumunun Serbest Enerji Değişimi. Selçuk Üniversitesi Fen Fakültesi Fen Dergisi, 42(2), 179-188.
AMA Eren N, Buyukcizmeci N, Oğul R. Süperdoyumdaki Buhar İçinde Damlacık Oluşumunun Serbest Enerji Değişimi. sufefd. October 2016;42(2):179-188.
Chicago Eren, Nuretdin, Nihal Buyukcizmeci, and Rıza Oğul. “Süperdoyumdaki Buhar İçinde Damlacık Oluşumunun Serbest Enerji Değişimi”. Selçuk Üniversitesi Fen Fakültesi Fen Dergisi 42, no. 2 (October 2016): 179-88.
EndNote Eren N, Buyukcizmeci N, Oğul R (October 1, 2016) Süperdoyumdaki Buhar İçinde Damlacık Oluşumunun Serbest Enerji Değişimi. Selçuk Üniversitesi Fen Fakültesi Fen Dergisi 42 2 179–188.
IEEE N. Eren, N. Buyukcizmeci, and R. Oğul, “Süperdoyumdaki Buhar İçinde Damlacık Oluşumunun Serbest Enerji Değişimi”, sufefd, vol. 42, no. 2, pp. 179–188, 2016.
ISNAD Eren, Nuretdin et al. “Süperdoyumdaki Buhar İçinde Damlacık Oluşumunun Serbest Enerji Değişimi”. Selçuk Üniversitesi Fen Fakültesi Fen Dergisi 42/2 (October 2016), 179-188.
JAMA Eren N, Buyukcizmeci N, Oğul R. Süperdoyumdaki Buhar İçinde Damlacık Oluşumunun Serbest Enerji Değişimi. sufefd. 2016;42:179–188.
MLA Eren, Nuretdin et al. “Süperdoyumdaki Buhar İçinde Damlacık Oluşumunun Serbest Enerji Değişimi”. Selçuk Üniversitesi Fen Fakültesi Fen Dergisi, vol. 42, no. 2, 2016, pp. 179-88.
Vancouver Eren N, Buyukcizmeci N, Oğul R. Süperdoyumdaki Buhar İçinde Damlacık Oluşumunun Serbest Enerji Değişimi. sufefd. 2016;42(2):179-88.

Journal Owner: On behalf of Selçuk University Faculty of Science, Rector Prof. Dr. Metin AKSOY
Selcuk University Journal of Science Faculty accepts articles in Turkish and English with original results in basic sciences and other applied sciences. The journal may also include compilations containing current innovations.

It was first published in 1981 as "S.Ü. Fen-Edebiyat Fakültesi Dergisi" and was published under this name until 1984 (Number 1-4).
In 1984, its name was changed to "S.Ü. Fen-Edeb. Fak. Fen Dergisi" and it was published under this name as of the 5th issue.
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