The Application of the Laplace Transform for Modeling of Gas Flow Using Maple®

• Autorzy: Wójcik M. , Szukiewicz M. , Kowalik P.

Identyfikatory

DOI

10.2478/jacsm-2014-0003

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Laplace transform; mathematical model; differential equations; Maple program

• Wydawca: Społeczna Akademia Nauk w Łodzi
• Czasopismo: Journal of Applied Computer Science Methods
• Rocznik: 2014
• Tom: Vol. 6 No. 1
• Strony: 43--53
• Opis fizyczny: Bibliogr. 7 poz., rys.

Twórcy

autor

Wójcik M.

• Department of Chemical and Process Engineering Rzeszow University of Technology, Rzeszow, Poland

autor

Szukiewicz M.

• Department of Chemical and Process Engineering Rzeszow University of Technology, Rzeszow, Poland

autor

Kowalik P.

• Institute of New Chemical Synthesis, Pulawy, Poland

Bibliografia

• 1. Widder D. V., 1946, The Laplace transform, Princeton University Press, USA.
• 2. Jaeger J. C., 1961, An introduction to the Laplace transformation with engineering applications, Methuen, London.
• 3. Poularikas A. D., 1996, The transforms and applications handbook, CRC Press, USA.
• 4. Kolev. S. D., Linden W. E., 1993, Application of Laplace transforms for the solution of transient mass- and heat- transfer problems in flow systems, International Journal of Heat and Mass Transfer, vol. 36, pp.135-139
• 5. Ahmed S., Batin A., 2013, Convective laminar radiating flow over an accelerated vertical plate embedded in a porous medium with an external magnetic field, International Journal of Engineering and Technology, vol. 3, pp. 66-72.
• 6. Ahmed S., Kalita D., 2012, Laplace technique on magnetohydrodynamic radiating and chemically reacting fluid over an infinite vertical surface, International Journal of Engineering and Technology, vol. 2, pp. 684-693.
• 7. Memberez J., Infelta P. P., Renken A., 1996, Use of the Laplace transform technique for simple kinetic parameters evaluation. Application to the adsorption of a protein on porous beads, Chemical Engineering Science, vol. 51, pp. 4489-4498.