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The efficiency of the gaver-stehfest method to solve one-dimensional gas flow model

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EN
Abstrakty
EN
In this paper we examined the efficiency of one of the methods for numerical inversion of the Laplace transform: the Gaver-Stehfest method to find a solution to a one-dimensional gas flow model with axial dispersion. The algorithm was used to determine values of the axial dispersion coefficients DL and Pèclet numbers Pe on the basis of the pulse tracer technique. The obtained results of Pèclet numbers indicate that the gas flow is neither plug fl ow nor perfect mixing under operation condition. Numerical results are provided to confirm the efficiency of the presented method. Calculations were performed with the use of the CAS program type (Maple®).
Twórcy
autor
  • Department of Chemical and Process Engineering,The Faculty of Chemistry, Rzeszow University of Technology, al. Powstańców Warszawy 12, 35-959 Rzeszow, Poland
  • Department of Chemical and Process Engineering,The Faculty of Chemistry, Rzeszow University of Technology, al. Powstańców Warszawy 12, 35-959 Rzeszow, Poland
autor
  • Institute of New Chemical Synthesis, al. Tysiąclecia Państwa Polskiego 13a, 24-110 Pulawy, Poland
  • Institute of New Chemical Synthesis, al. Tysiąclecia Państwa Polskiego 13a, 24-110 Pulawy, Poland
Bibliografia
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  • 3. Chen J-S., Liu C-W., Chen C-S., Yen H-D. A Laplace transform solution for tracer tests in a radially convergent flow field with upstream dispersion, Journal of Hydrology, 1996, 183(3-4), 263-275.
  • 4. Chiang L-W. The application of numerical Laplace inversion methods to groundwater flow and solute transport problems, New Mexico Institute of Mining and Technology, 1989.
  • 5. Egonmwan A. O. The Numerical Inversion of the Laplace Transform: Gaver-Stehfest, Piessens, and Regularized Collocation methods, LAP LAMBERT Academic Publishing, 2012.
  • 6. Hassanzadeh H., Pooladi-Darvish M. Comparison of different numerical Laplace inversion methods for engineering applications, Applied Mathematics and Computation, 189, 2007, 1966-1981.
  • 7. Jaradat H. M., Jaradat M. M. M., AwawdehF., Mustafa Z., Alsayyed O. A new numerical method for heat equation subject to integral specifications, Journal of Nonlinear Science and Applications, 9, 2016, 2117-2125.
  • 8. Kocabas I. Application of iterated Laplace transformation to tracer transients in heterogeneous porous media, Journal of the Franklin Institute, 348, 2011, 1339-1362.
  • 9. Rezaei A., Zhan H., Zare M. Impact of thin aquitards on two-dimensional solute transport in an aquifer, Journal of Contaminant Hydrology, 152, 2013, 117-136.
  • 10. Valkό P., Vajda S. Inversion of noise-free Laplace transforms: towards a standardized set of test problems, Inverse Problems in Engineering, 10(5), 2002, 467-483.
  • 11. Wang Q., Zhan H. On different numerical inverse Laplace methods for solute transport problems, Advances in Water Resources, 75, 2015, 80-92.
  • 12. Wójcik M., Szukiewicz M., Kowalik P. Application of numerical Laplace inversion methods in chemical engineering with Maple®. The Journal of Applied Computer Science Methods, 7(1), 2015, 5-15.
  • 13. Zhan H., Wen Z., Gao G. An analytical solution of two-dimensional reactive solute transport in an aquifer-aquitard system, Water Resources Research, 45(10), 2009.
  • 14. Zhan H., Wen Z., Huang G., Sun D. Analytical solution of two-dimensional solute transport in an aquifer-aquitard system, Journal of Contaminant Hydrology, 2009, 107(3-4), 162-174.
  • 15. Zhang J.Some innovative numerical approaches for pricing American options, University of Wollongong Thesis Collection, 2007.
Uwagi
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017)
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-be4230d0-3d3d-4a9c-b861-b5da8e8adf45
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