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The isokinetic effect as related to the activation energy for the gases diffusion in coal at ambient temperatures

Part I. Fick’s diffusion parameter estimated from kinetic curves

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Abstract

The present paper contains theoretical analysis and a thorough discussion of the applicability of Fick’s approach to modelling CO2 and CH4 diffusion in heterogeneous coal, especially with regard to the estimation of a single diffusion coefficient from the dependence defined by a number series. The computations were performed for high rank coal depending on the grain size of coal samples and within a narrow range of temperature − 293 and 303 K.

The results of the model’s application to the experimental data show that the method of estimation of the diffusion coefficient is very important. Our results also show that the diffusion coefficient changes are closely related with the one-parameter analysis of coal grain size distribution.

It was shown that for the investigated grain size distribution the diffusion coefficient as expressed by Fick’s law may only be determined as a value which is directly proportional to the diffusion parameter. Hence, the estimation of D/r 2 is recommended.

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References

  1. S. Holloway, Energy Convers. Mgmt., 38 (1997) S193.

    Article  CAS  Google Scholar 

  2. P. Freund and W. G. Ormerod, Energy Convers. Mgmt., 38 (1997) S199.

    Article  CAS  Google Scholar 

  3. A. Marecka, Konferencja Naukowo-Techniczna ‘Koksownictwo 2005’ SITPH, Polanica-Zdrój, (2005) (in Polish).

  4. F. X. Han, J. S. Lindner and C. Wang, Naturwissenschaften, 94 (2007) 170.

    Article  CAS  Google Scholar 

  5. T. C. Ruppel, C. T. Grein and D. Bienstock, Fuel, 51 (1972) 297.

    Article  CAS  Google Scholar 

  6. A. Marecka, Materiały Seminarium ‘Węgiel kamienny-własności, akumulacja, uwalnianie i pozyskiwanie gazów kopalnianych’, Cracow 1994, p. 17 (in Polish).

  7. S. L. Grossman, I. Wegener, W. Wanzl, S. Davidi and H. Cohen, Fuel, 73 (1994) 762.

    Article  CAS  Google Scholar 

  8. S. L. Grossman, S. Davidi and H. Cohen, Fuel, 74 (1995) 1772.

    Article  CAS  Google Scholar 

  9. S. Czajkowska, A. Marzec and A. Mianowski, Karbo, (2004) 122 (in Polish).

  10. J. Cranck, The Mathematics of Diffusion, Clarendon Press, Oxford 1975.

    Google Scholar 

  11. M. L. Sykes, H. K. Chagger and K. M. Thomas, Proc. of the Conf. on Carbon 92, Deutsche Keramische Gesellschaft, Essen, Germany 1992, p. 263.

    Google Scholar 

  12. T. A. Braymer, C. G. Coe, T. S. Farris, T. R. Gaffney, J. M. Schork and J. N. Armor, Carbon, 32 (1994) 445.

    Article  CAS  Google Scholar 

  13. D. D. Do and K. A. Wang, Carbon, 36 (1998) 1539.

    Article  CAS  Google Scholar 

  14. J. Cranck and G. S. Park, Trans. Faraday Soc., 45 (1949) 240.

    Article  Google Scholar 

  15. R. M. Barrer in R. F. Gould, Intracrystalline diffusion, American Chemical Society, Washington DC 1971.

  16. D. M. Smith and F. L. Williams, Soc. Petrol Engng. J., 63 (1984) 529.

    Google Scholar 

  17. A. Ciembroniewicz and A. Marecka, Arch. Min. Sci., 37 (1992) 99.

    CAS  Google Scholar 

  18. A. Ciembroniewicz and A. Marecka, Fuel, 72 (1993) 405.

    Article  CAS  Google Scholar 

  19. A. Marecka A and A. Mianowski, Fuel, 77 (1998) 1691.

    Article  CAS  Google Scholar 

  20. A. Ciembroniewicz, Zeszyty Naukowe AGH, 1499, Cracow 1993, (in Polish) and references therein.

  21. A. Mianowski, Int. J. Miner. Process., 24 (1988) 11.

    Article  CAS  Google Scholar 

  22. J. Pysiak, J. Thermal Anal., 43 (1995) 9.

    Article  CAS  Google Scholar 

  23. A. Mianowski, Problematyka przygotowania wsadu węglowego w produkcji koksu wielkopiecowego, Z. N. Pol. Śl., 886 (Chemia 115) Gliwice 1986 (in Polish).

  24. D. P. Timofiejew, Kinetika adsorpcji, Ed. Izd. AN. SSSR, Moscow 1962, (in Russian).

    Google Scholar 

  25. Z. J. Grzywna and A. M. Simon, Pol. J. Chem., 68 (1994) 831.

    CAS  Google Scholar 

  26. T. Ozawa, J. Thermal Anal., 5 (1973) 563.

    Article  CAS  Google Scholar 

  27. T. Ozawa, J. Thermal Anal., 31 (1986) 547.

    Article  CAS  Google Scholar 

  28. T. Schwarz, G. Steiner and J. Koppelmann, J. Thermal Anal., 35 (1989) 481.

    Article  CAS  Google Scholar 

  29. P. Staszczuk, M. Płando-Czyż, M. Błachnio and V. V. Kutarov, J. Therm. Anal. Cal., 86 (2006) 261.

    Article  CAS  Google Scholar 

  30. A. P. Terzyk and P. A. Gauden, Sep. Sci. Technol., 36 (2001) 513.

    Article  CAS  Google Scholar 

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Authors and Affiliations

  1. Department of Inorganic Chemistry and Technology, Silesian Technical University, B. Krzywoustego Street 6, 44-100, Gliwice, Poland

    A. Mianowski

  2. Faculty of Fuels and Energy, AGH — University of Science and Technology, Mickiewicza Av. 30, 30-059, Cracow, Poland

    Aleksandra Marecka

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  1. A. Mianowski
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  2. Aleksandra Marecka
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Correspondence to Aleksandra Marecka.

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Mianowski, A., Marecka, A. The isokinetic effect as related to the activation energy for the gases diffusion in coal at ambient temperatures. J Therm Anal Calorim 95, 285–292 (2009). https://doi.org/10.1007/s10973-008-9058-3

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  • DOI: https://doi.org/10.1007/s10973-008-9058-3

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