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The transient flow of gas in pipes can be adequatly described by a one-dimensional approach. Basic equations describing the transient flow of gas in pipes are derived from the equation of motion (or momentum), continuity equation, energy equation and the state equation. In much of the literature, either an isothermal or an adiabatic approach to the description of thermodynamics of pipeline gas flow is adopted. However, for many dynamic gas applications this assumption of a process having a constant temperature or being adiabatic is not valid. In this case, the temperature of the gas is a function of distance and is calculated using a mathematical model, which includes the energy equation. In the paper, the problem of transient simulation of gas pipeline is solved using the method of lines. Non-isothermal pipeline gas flow model is presented and a description of an efficient numerical method for integration of the DAE system is given.
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Tom
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51--70
Opis fizyczny
Bibliogr. 13 poz.,
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Bibliografia
- [1] THE AMERICAN GAS ASSOCIATION: Distribution System Design, A. G. A., Arlington 1990.
- [2] CHUA T. S., DEW P. M.: The design of a variable-step integrator for the simulation of gas transmision networks, Inter. Journal for Numerical Methods in Engineering 20(1984), 1797-1813. [3] DANESHYAR H.: One-dimensional compressible flow, Pergamon Press, New York 1976.
- [4] GOLDWATER M. H., FINCHAM A. E.: Modelling of dynamical systems, (ed. H. Nicholson), Peter Peregrinus, Stevenage, 1981.
- [5] ISO 12213-3 NATURAL GAS - CALCULATION OF COMPRESSION FACTOR, Part 3: Calculation using physical properties, International Standarization Office, Geneve 1997.
- [6] KRALIK J. et al.: Dynamic modelling of large scale networks with application to gas distribution, Elsevier, New York 1988.
- [7] OSIADACZ A. J.: Simulation and analysis of gas networks, Gulf Publishing Company, Huston 1989.
- [8] OSIADACZ A. J.: Different transient models limitations, Advantages and Disadvantages, in: Preceedings of the PSIG - The 28th Annual Meeting, San Francisco 1996.
- [9] OSIADACZ A. J., CHACZYKOWSKI M.: Method of lines in transient simulation of gas networks, Accepted for publication in Prace Naukowe Politechniki Warszawskiej, Inynieria rodowiska.
- [10] SCHIESSER W. E.: The numerical methods of lines, Academic Press, London 1991.
- [11] SCRATON R. E.: Some L-stable methods for stiff differential equations, Int. J. Computer Maths. 9(1981), 81-87.
- [12] SHAPIRO A. H.: The dynamics and thermodynamics of compressible fluid flow, The Ronald Press Company, New York 1954.
- [13] WYLIE E. B., STREETER V. L.: Fluid transients, McGraw-Hill, New York 1978.
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Bibliografia
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bwmeta1.element.baztech-article-BGPK-0055-2063