Shock waves in carbon dioxide: simulations using different kinetic-theory models

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Shock waves in carbon dioxide: simulations using different kinetic-theory models. / Alekseev, Ilya; Kosareva, Alena; Kustova, Elena ; Nagnibeda, Ekaterina.

In: AIP Conference Proceedings, Vol. 2132, 060005, 2019.

Research output: Contribution to journal › Conference article

BibTeX

@article{13c74901bca7416ab9d1fe48d6b56fbf,

title = "Shock waves in carbon dioxide: simulations using different kinetic-theory models",

abstract = "Shock wave structure in carbon dioxide is studied on the basis of several continuum models and compared to the solution obtained using the kinetic approach. The problem is solved in the frame of one- and two-temperature Euler equations as well as Navier–Stokes equations accounting for the bulk viscosity. The Rankine-Hugoniot relations with constant specific heat ratio fail to predict accurately the final equilibrium state in polyatomic gases. A good qualitative agreement of the solutions obtained using the continuum and kinetic approaches is shown. Taking into account the bulk viscosity leads to a considerable increase in the shock wave width; its variation in a flow modifies the profiles of gas-dynamic parameters. In the multi-temperature approach, solving the Euler equations coupled to the relaxation equation for the vibrational energy provides the results similar to those obtained within the kinetic approach taking into account the effect of bulk viscosity.",

author = "Ilya Alekseev and Alena Kosareva and Elena Kustova and Ekaterina Nagnibeda",

year = "2019",

language = "English",

volume = "2132",

journal = "AIP Conference Proceedings",

issn = "0094-243X",

publisher = "American Institute of Physics",

note = "null ; Conference date: 23-07-2018 Through 27-07-2018",

}

RIS

TY - JOUR

T1 - Shock waves in carbon dioxide: simulations using different kinetic-theory models

AU - Alekseev, Ilya

AU - Kosareva, Alena

AU - Kustova, Elena

AU - Nagnibeda, Ekaterina

PY - 2019

Y1 - 2019

N2 - Shock wave structure in carbon dioxide is studied on the basis of several continuum models and compared to the solution obtained using the kinetic approach. The problem is solved in the frame of one- and two-temperature Euler equations as well as Navier–Stokes equations accounting for the bulk viscosity. The Rankine-Hugoniot relations with constant specific heat ratio fail to predict accurately the final equilibrium state in polyatomic gases. A good qualitative agreement of the solutions obtained using the continuum and kinetic approaches is shown. Taking into account the bulk viscosity leads to a considerable increase in the shock wave width; its variation in a flow modifies the profiles of gas-dynamic parameters. In the multi-temperature approach, solving the Euler equations coupled to the relaxation equation for the vibrational energy provides the results similar to those obtained within the kinetic approach taking into account the effect of bulk viscosity.

AB - Shock wave structure in carbon dioxide is studied on the basis of several continuum models and compared to the solution obtained using the kinetic approach. The problem is solved in the frame of one- and two-temperature Euler equations as well as Navier–Stokes equations accounting for the bulk viscosity. The Rankine-Hugoniot relations with constant specific heat ratio fail to predict accurately the final equilibrium state in polyatomic gases. A good qualitative agreement of the solutions obtained using the continuum and kinetic approaches is shown. Taking into account the bulk viscosity leads to a considerable increase in the shock wave width; its variation in a flow modifies the profiles of gas-dynamic parameters. In the multi-temperature approach, solving the Euler equations coupled to the relaxation equation for the vibrational energy provides the results similar to those obtained within the kinetic approach taking into account the effect of bulk viscosity.

UR - https://aip.scitation.org/doi/10.1063/1.5119545

M3 - Conference article

VL - 2132

JO - AIP Conference Proceedings

JF - AIP Conference Proceedings

SN - 0094-243X

M1 - 060005

Y2 - 23 July 2018 through 27 July 2018

ER -

ID: 94230454