“…One of rather general mathematical models of the above-mentioned processes is the VBVK (Vasil'ev-Boldyrev-Voevodin-Kanibolotsky) model published in 1978 in [5], and up to now this model is often in use [6,7,8]. Our mathematical model developed in [1,3] mainly differs from the VBVK model in the description of thermodynamic processes, while in both models the presentations of continuity equation (mass conservation), equation of motion (or momentum equation), and energy equation (law of conservation of energy) coincide with an accuracy of up to symbols:…”
Section: General Modelmentioning
confidence: 99%
“…By now, a vast number of such analytical forms has been proposed, but the most known ones are the Redlich-Kwong, Soave, Peng-Robinson, Benedict-Webb-Rubin equations of state [7,11,13]. In our works [1,3] as well as in [4,7] the two-parameter Redlich-Kwong equation of state is used, for this equation is considered one of the best which works in a wide range of variations of p, ρ and T, including hyperpressure range. For a gas mixture it can be written as [13]: In the second approach, caloric equation is written in terms of internal energy ε(T,V), and the balance equation of internal energy Eq.…”
Section: Modeling Of Thermodynamic Processesmentioning
confidence: 99%
“…In [2], the validity of reduction of a quasi-one-dimensional model to one-dimensional one was proved for the case of a high value of the Reynolds number (Re>10 6 ). In [3], the model was generalized for the case of unsteady processes.…”
Different approaches to the modeling of thermodynamic processes in a gas flow at hyper-pressure are discussed and their equivalence is proved for any form of equation of state. The article presents arguments in favor of the approach in which temperature and density are chosen as independent thermodynamic variables and equation of sate is written in one of its analytical forms, for example, in the form of Redlich-Kwong equation of state. Explicit analytical expressions are obtained for the dependences of internal energy and specific heat at constant volume on gas temperature and density. It is proved that simplifications of the model of thermodynamic processes, which are based on the assumption of incompressibility of gas flow, are inadmissible, even in case of negligibly small inertial forces.
“…One of rather general mathematical models of the above-mentioned processes is the VBVK (Vasil'ev-Boldyrev-Voevodin-Kanibolotsky) model published in 1978 in [5], and up to now this model is often in use [6,7,8]. Our mathematical model developed in [1,3] mainly differs from the VBVK model in the description of thermodynamic processes, while in both models the presentations of continuity equation (mass conservation), equation of motion (or momentum equation), and energy equation (law of conservation of energy) coincide with an accuracy of up to symbols:…”
Section: General Modelmentioning
confidence: 99%
“…By now, a vast number of such analytical forms has been proposed, but the most known ones are the Redlich-Kwong, Soave, Peng-Robinson, Benedict-Webb-Rubin equations of state [7,11,13]. In our works [1,3] as well as in [4,7] the two-parameter Redlich-Kwong equation of state is used, for this equation is considered one of the best which works in a wide range of variations of p, ρ and T, including hyperpressure range. For a gas mixture it can be written as [13]: In the second approach, caloric equation is written in terms of internal energy ε(T,V), and the balance equation of internal energy Eq.…”
Section: Modeling Of Thermodynamic Processesmentioning
confidence: 99%
“…In [2], the validity of reduction of a quasi-one-dimensional model to one-dimensional one was proved for the case of a high value of the Reynolds number (Re>10 6 ). In [3], the model was generalized for the case of unsteady processes.…”
Different approaches to the modeling of thermodynamic processes in a gas flow at hyper-pressure are discussed and their equivalence is proved for any form of equation of state. The article presents arguments in favor of the approach in which temperature and density are chosen as independent thermodynamic variables and equation of sate is written in one of its analytical forms, for example, in the form of Redlich-Kwong equation of state. Explicit analytical expressions are obtained for the dependences of internal energy and specific heat at constant volume on gas temperature and density. It is proved that simplifications of the model of thermodynamic processes, which are based on the assumption of incompressibility of gas flow, are inadmissible, even in case of negligibly small inertial forces.
The rapid growth of liquefied natural gas consumption makes the issues of its transportation more urgent. At present, liquefied natural gas pipeline transportation is carried out only by means of short length process lines. This paper discusses the main features of cryogenic liquids pipeline transportation that obstruct its spread. The proposed model allows to carry out thermal and hydraulic calculations of an underground cryogenic pipeline. The distinctive feature of this model is the fact that it takes into account the changes in basic thermodynamic parameters of cryogenic liquid. The model is based on the Darcy-Weisbach equation and a differential heat transfer equation. In addition, the influence of the Joule-Thomson coefficient inversion on the temperature of the pumping cryogenic liquid was discussed. The comparative analysis of the pipeline construction efficiency made of ultra-high molecular weight polyethylene and AISI 321 steel was conducted. It was found that the use of polymer materials contributes to an increase in the transportation distance. The developed model can be applied for estimation of the transportation parameters change of single-phase fluid flow. The obtained results can be used in initial analysis of the process lines designing and construction.
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