Geodesic
Modeling of real gas tank fill-up dynamics
Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 3 (2014), pp. 46-57

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Widespread in chemical, natural gas and other industry branches process of stepwise real gas tank fill-up is considered. Problem mathematical model based on simplified one-dimensional flow schema contains mass conservation, energy and also thermal state (Redlich–Kwong two-parameter) equations and assumes all gas flow physical characteristics depend on time and the only one longitudinal coordinate. Model parameters and congruous calorific characteristics computations executed on example of natural gas close on structure to Nord Stream gas mixture using thermodynamics differential equations. The special attention to mixed gas state equation parameters is paid, their determination equivalent paths are specified, and also these parameters calculation for one of them is executed. Stepwise real gas reservoir fill-up process gas-dynamics characteristics calculations according to the constructed model are performed by the instrumentality of MATLAB application package. The received results allow to draw a conclusion that the considered gas injection schema with several stages subsequent cooling-down and broken pumping resume allows to significantly increase process efficiency by tank more full gas charging. Bibliogr. 10. Il. 3. Table. 2.
Keywords: real gas, tank fill-up time, criticality outflow. 
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     author = {V. A. Pavlovsky and A. L. Chistov},
     title = {Modeling of real gas tank fill-up dynamics},
     journal = {Vestnik Sankt-Peterburgskogo universiteta. Prikladna\^a matematika, informatika, processy upravleni\^a},
     pages = {46--57},
     publisher = {mathdoc},
     number = {3},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSPUI_2014_3_a4/}
}
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V. A. Pavlovsky; A. L. Chistov. Modeling of real gas tank fill-up dynamics. Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 3 (2014), pp. 46-57. http://geodesic.mathdoc.fr/item/VSPUI_2014_3_a4/