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Wyszukujesz frazę "Szukiewicz, M." wg kryterium: Autor


Wyświetlanie 1-6 z 6
Tytuł:
A simple method of determination of the degree of gas mixing by numerical Laplace inversion and Maple®
Autorzy:
Wójcik, M.
Szukiewicz, M.
Powiązania:
https://bibliotekanauki.pl/articles/200207.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
inverse boundary value problem
Gaver-Stehfest algorithm
axial gas dispersion coefficient
Peclet number
CAS program
algorytm Gavera-Stehfesta
dyspersja gazu
liczba Pecleta
program CAS
Maple
Opis:
This article presents a new efficient method of determining values of gas flow parameters (e.g. axial dispersion coefficient, DL and Pèclet number, Pe). A simple and very fast technique based on the pulse tracer response is proposed. It is a method which combines the benefits of a transfer function, numerical inversion of the Laplace transform and optimization allows estimation of missing coefficients. The study focuses on the simplicity and flexibility of the method. Calculations were performed with the use of the CAS-type program (Maple®). The correctness of the results obtained is confirmed by good agreement between the theory and experimental data for different pressures and temperature. The CAS-type program is very helpful both for mathematical manipulations as a symbolic computing environment (mathematical formulas of Laplace-domain model are rather sophisticated) and for numerical calculations. The method of investigations of gas flow motion is original. The method is competitive with earlier methods.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2019, 67, 2; 235-240
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Mathematical modelling of gas flow and determination of axial gas dispersion coefficients using numerical inverse laplace transform and maple in a typical commercial apparatus
Autorzy:
Wójcik, M.
Szukiewicz, M.
Powiązania:
https://bibliotekanauki.pl/articles/185793.pdf
Data publikacji:
2018
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
numerical inversion of the Laplace transform
mathematical modelling
axial gas dispersion coefficient
Maple
numeryczna inwersja transformaty Laplaca
modelowanie matematyczne
osiowy współczynnik dyspersji gazu
Opis:
In this paper, a new simple method for determination of flow parameters, axial dispersion coefficients DL and Péclet numbers Pe was presented. This method is based on an accurate measurement model considering pulse tracer response. Our method makes it possible to test the character of gas flow motion and precisely measure flow parameters for different pressures and temperatures. The idea of combining the transfer function, numerical inversion of the Laplace transform and optimisation method gives many benefits like a simple and effective way of finding solution of inverse problem and model coefficients. The calculated values of flow parameters (DL and/or Pe) suggest that in the considered case the gas flow is neither plug flow nor perfect mixing under operation condition. The obtained outcomes agree with the gas flow theory. Calculations were performed using the CAS program type, Maple.
Źródło:
Chemical and Process Engineering; 2018, 39, 2; 223--232
0208-6425
2300-1925
Pojawia się w:
Chemical and Process Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analiza dokładności obliczeniowej wybranych metod numerycznych wyznaczania odwrotnej transformaty Laplace’a
Analysis of the accuracy of selected numerical methods for the inversion of the Laplace transform
Autorzy:
Wójcik, M.
Szukiewicz, M.
Powiązania:
https://bibliotekanauki.pl/articles/134678.pdf
Data publikacji:
2016
Wydawca:
ADVSEO
Tematy:
Laplace transform
numerical methods for the inversion of the Laplace transform
Gaver-Stehfest method
Honig and Hirdes
program Maple
Opis:
This paper presents an analysis in terms of their accuracy of selected numerical methods for the inversion of the Laplace trans form. They were used to find solution of a gas flow model in real measuring system. The measurement unit, its application as well as its useful model were described in details in a work. We examined the Gaver-Stehfest method and the Honig and Hirdes method. The first one is based on combination of Gaver functionals. The second one is based on the Fourier series expansions. The results have confirmed the fact that the selected methods are suitable to solve analyzed problem, and showed that the algorithm developed by D. P. Gaver and H. Stehfest allows to obtain the best results of calculations. All calculations were using the computer algebra system Maple®. The presented algorithms have been implemented by the authors.
Źródło:
Technical Issues; 2016, 3; 141-146
2392-3954
Pojawia się w:
Technical Issues
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Application of the Laplace Transform for Modeling of Gas Flow Using Maple®
Autorzy:
Wójcik, M.
Szukiewicz, M.
Kowalik, P.
Powiązania:
https://bibliotekanauki.pl/articles/972896.pdf
Data publikacji:
2014
Wydawca:
Społeczna Akademia Nauk w Łodzi
Tematy:
Laplace transform
mathematical model
differential equations
Maple program
Opis:
The Laplace transform is powerful method for solving differential equations. This paper presents the application of Laplace transform to solve the mathematical model of gas flow through the measuring system. The basis of the mathematical model used to describe and simulate the analyzed process is a system of ordinary differential equations. As a result is obtained a single algebraic equation in terms of the complex variable s. In order to study the dynamics of the system these equation should be reverted to the time domain by performing an inverse Laplace transform. Calculations were performed in the environment of Maple®. Determining of mixing in a u-shape vessel is aim of presented calculations.
Źródło:
Journal of Applied Computer Science Methods; 2014, 6 No. 1; 43-53
1689-9636
Pojawia się w:
Journal of Applied Computer Science Methods
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Application of Numerical Laplace Inversion Methods in Chemical Engineering with Maple®
Autorzy:
Wójcik, M.
Szukiewicz, M.
Kowalik, P.
Powiązania:
https://bibliotekanauki.pl/articles/108690.pdf
Data publikacji:
2015
Wydawca:
Społeczna Akademia Nauk w Łodzi
Tematy:
numerical inversion of Laplace transform
gas flow model
Maple program
Opis:
In this paper, the procedure of choice of the effective numerical inversion method of Laplace transform for solving of the mathematical model of gas flow was shown. Two inversion methods are evaluated in this work: the GaverStehfest method, and the Dubner and Abate method. The numerical tests has been made using test functions. Based on the test results the fast and accurate method was selected and applied for modeling of the gas flow. The GaverStehfest method has proven the most effective. The model was developed using the computer algebra system Maple®. Implementation of the methods were done by authors.
Źródło:
Journal of Applied Computer Science Methods; 2015, 7 No. 1; 5-15
1689-9636
Pojawia się w:
Journal of Applied Computer Science Methods
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The efficiency of the gaver-stehfest method to solve one-dimensional gas flow model
Autorzy:
Wójcik, M.
Szukiewicz, M.
Kowalik, P.
Próchniak, W.
Powiązania:
https://bibliotekanauki.pl/articles/102652.pdf
Data publikacji:
2017
Wydawca:
Stowarzyszenie Inżynierów i Techników Mechaników Polskich
Tematy:
Laplace transform
method for numerical inversion of the Laplace transform
axial dispersion coefficient
program Maple
Opis:
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®).
Źródło:
Advances in Science and Technology. Research Journal; 2017, 11, 1; 246-252
2299-8624
Pojawia się w:
Advances in Science and Technology. Research Journal
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-6 z 6

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