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Analytical expression to temperature-dependent Kirkwood-Fröhlich dipole orientation parameter using the Boubaker Polynomials Expansion Scheme (BPES)

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Abstract

An analytical expression is proposed to the Kirkwood-Fröhlich dipole orientation correlation parameter g. This parameter, which has been considered as a relevant guide to understanding the structuredness of supercritical fluids, had been always determined numerically. The advantage of the used protocol: the BPES, is to yield continuous and integrable expressions which can be easily incorporated in analytical models. The results have been compared to several precedent studies.

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References

  1. H Li, N Zhao, C He, C Shi, X Du, J Li and Q Cui Mater. Sci. & Engin. A, 476 230 (2008)

    Article  Google Scholar 

  2. W Lin, J Pak, D C Ingram and A R Smith J. Alloys Compd. 463 257 (2008)

    Google Scholar 

  3. I Saita, T Toshima, S Tanda and T Akiyama J. Alloys Compd. 446–447 80 (2007)

    Article  Google Scholar 

  4. M R Barati J. Alloys Compd. 478 375 (2009)

    Article  Google Scholar 

  5. P J Haines Thermal Methods of Analysis: (London: Blackie Acad. & Prof.) (1995)

    Google Scholar 

  6. Y Marcus J. Solution Chem. 21 1217 (1992)

    Article  Google Scholar 

  7. G Jansco and A Van Hook Chem. Rev. 74 689 (1974)

    Article  Google Scholar 

  8. G Nemethy, H A Scheraga J. Chem. Phys. 36 3382 (1962)

    Article  ADS  Google Scholar 

  9. L Onsager J. Am. Chem. Soc. 58 1486 (1936)

    Article  Google Scholar 

  10. J G Kirkwood J. Chem. Phys. 7 911 (1939)

    Article  ADS  Google Scholar 

  11. D G Archer and P Wang J. Phys. Chem. Ref Data 19 37 (1990)

    Article  Google Scholar 

  12. W Dannhanser J. Chem. Phys. 48 1911 (1968)

    Article  ADS  Google Scholar 

  13. Yu E Gorbaty and Yu N Dem’yanets Zh. Strukt. Khim. 24 5 (1983)

    Google Scholar 

  14. H Ohtaki, T Radnai and T Yamaguehi Chem. Soc. Rev. 26 41 (1997)

    Article  Google Scholar 

  15. Yu E Gorbaty and Yu N Dem’yanets Chem. Phys. Lett. 100 450 (1983)

    Article  ADS  Google Scholar 

  16. K Yamanaka, T Yamaguchi and H Wakita J. Chem. Phys. 101 9830 (1994)

    Article  ADS  Google Scholar 

  17. Yu E Gorbaty and A G Kaliniehev J. Phys. Chem. 99 5336 (1995)

    Article  Google Scholar 

  18. M Uematsu and E U Franek J. Phys. Chem. Ref. Data 9 1291 (1980)

    Article  ADS  Google Scholar 

  19. R Deul and E U Franck Ber. Bunsenges. Phys. Chem. 95 847 (1991)

    Google Scholar 

  20. K Heger, M Uematsu and E U Franck Ber. Bunsenges. Phys. Chem. 84 758 (1980)

    Google Scholar 

  21. P G Hill and R D C MacMillan J. Phys. Chem. Ref. Data 9 735 (1980)

    Article  ADS  Google Scholar 

  22. O D Oyodum, O B Awojoyogbe, M Dada and J Magnuson Eur. Phys. J. Appl. Phys. 46 21201 (2009)

    Article  Google Scholar 

  23. J Ghanouchi, H Labiadh and K Boubaker Int. J. Heat & Tech. 26(1) 49 (2008)

    Google Scholar 

  24. K Boubaker Trends in App. Sc. Res. 2 540 (2007)

    Article  Google Scholar 

  25. A Chaouachi, K Boubaker, M Amlouk and H Bouzouita Eur. Phys. J. Appl. Phys. 37 105 (2007)

    Article  ADS  Google Scholar 

  26. O B Awojoyogbe and K Boubaker Curr. Appl. Phys. 9 278 (2009)

    Article  ADS  Google Scholar 

  27. H Labiadh J. Diff. Eq. C. Proc. 1 172 (2007)

    Google Scholar 

  28. S Tabatabaei, T Zhao, O Awojoyogbe and F Moses Heat Mass Transf. 45 1247 (2009)

    Article  ADS  Google Scholar 

  29. S Slama, J Bessrour, M Bouhafs and K B Ben Mahmoud Num. Heat Transf. Part A 55 401 (2009)

    Article  ADS  Google Scholar 

  30. K B. Ben Mahmoud J. Thermoph. Heat Transf. 23 409 (2009)

    Article  Google Scholar 

  31. K Boubaker Int. J. Heat & Tech. 20 31 (2008)

    Google Scholar 

  32. Y Marcus J. Molec. Liquids 79 151 (1999)

    Article  Google Scholar 

  33. A H Harvey, R Span, K Fujii, M Tanaka and R S Davis Metrologia 46 196 (2009)

    Article  ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. Department of Mathematics, Ege University, Bornova, 35100, Izmir, Turkey

    H. KoÁak, Z. Dahong & A. Yildirim

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  1. H. KoÁak
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  2. Z. Dahong
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  3. A. Yildirim
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Correspondence to H. KoÁak.

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KoÁak, H., Dahong, Z. & Yildirim, A. Analytical expression to temperature-dependent Kirkwood-Fröhlich dipole orientation parameter using the Boubaker Polynomials Expansion Scheme (BPES). Indian J Phys 85, 311–317 (2011). https://doi.org/10.1007/s12648-011-0007-9

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  • DOI: https://doi.org/10.1007/s12648-011-0007-9

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