Rotational Relaxation in Nonpolar Diatomic Gases

Lordi, J. A.; Mates, Robert E.

doi:10.1063/1.1692920

Cited by 151 publications

(58 citation statements)

References 32 publications

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“…While Parker's expression, (9), is derived involving a large number of simplifying assumptions the overall dependence on the temperature is in agreement with the more rigorous treatment of 27 . However, this expression does not involve any dependence on the different translational and rotational temperatures.…”

Section: Non-dimensional Rykov Modelmentioning

confidence: 71%

Kinetic Models and Gas-Kinetic Schemes for Hybrid Simulation of Partially Rarefied Flows

2016

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Approaches to predict flow fields that display rarefaction effects incur a cost in computational time and memory considerably higher than methods commonly employed for continuum flows. For this reason, to simulate flow fields where continuum and rarefied regimes coexist, hybrid techniques have been introduced. In the present work analytically defined Gas-Kinetic schemes based on the Shakhov and Rykov models, for monoatomic and diatomic gas flows, respectively, are proposed and evaluated with the aim to be used in the context of hybrid simulations. This should reduce the region where more expensive methods are needed by extending the validity of the continuum formulation. Moreover, since for rarefied gas flows at high velocities it is necessary to take into account the non-equilibrium among the internal degrees of freedom, the extension of the approach to employ diatomic gas models with rotational relaxation is a mandatory first step towards realistic simulations. Compared to previous works of Xu and co-workers the presented scheme is defined directly on the basis of kinetic models which involve a Prandtl number correction. Moreover, the methods are defined fully analytically instead of making use of Taylor expansion for the evaluation of the required derivatives. The scheme has been tested for various test cases and Mach numbers proving to produce reliable predictions in agreement with other approaches for near-continuum flows. Finally, the performance of the scheme, in terms of memory and computational time, compared to discrete velocity methods makes it a compelling alternative in place of more complex methods for hybrid simulations of weakly rarefied flows.

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Section: Non-dimensional Rykov Modelmentioning

confidence: 71%

Kinetic Models and Gas-Kinetic Schemes for Hybrid Simulation of Partially Rarefied Flows

2016

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“…and the value Z r may depend on the temperature [14]. Instead of the bulk viscosity term in the standard NS Eq.…”

Section: Non-equilibrium Rotational and Translational Temperature Modelmentioning

confidence: 98%

Multiple temperature kinetic model and gas-kinetic method for hypersonic non-equilibrium flow computations

Cai

2008

Journal of Computational Physics

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“…Lordi and Mates [35] have performed a rigorous numerical calculation of the rotational relaxation in diatomic molecules employing an intermolecular potential which is similar to that of Parker. Numerical solutions are obtained for the rotational energy transfer in individual collisions and Monte Carlo integration procedure for the evaluation of the transport property collision integrals which occur in the formal kinetic theory expressions of Wang, Chang, Uhlenbeck and Taxman.…”

Section: Z= Zrotmentioning

confidence: 99%

Thermal conductivity of nitrogen in the temperature range 350–2500 K

Saxena

Chen

1975

Molecular Physics

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The thermal conductivity of nitrogen is determined in a conductivity column instrument in the temperature range of 338 to 2518 K with an estimated uncertainty of about _+1"5 per cent. The experimental data points are correlated by a cubic polynomial in temperature, viz. k(T)/(mW m -1 K -1) = 12.18 + 0"05224(T/K) -0"6482 x 10-6(T/K) 2 -0"2765 x 10-9(T/K) z. These conductivity values determined from heat transfer data taken in the continuum regime are found to be in fair agreement with the values obtained from similar data referring to low pressure range.The present results are compared with the conductivity determinations of other workers and with the predictions of various theories developed for polyatomic gases. It is pointed out that a reliable calculation of thermal conductivity over an extended temperature range is impossible at the present time due to the absence of a large variety of experimental molecular data needed for such an effort. Average values of the vibrational energy diffusion coefficient, Dvib, are computed from the present k(T) data.

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Rotational Relaxation in Nonpolar Diatomic Gases

Cited by 151 publications

References 32 publications

Kinetic Models and Gas-Kinetic Schemes for Hybrid Simulation of Partially Rarefied Flows

Kinetic Models and Gas-Kinetic Schemes for Hybrid Simulation of Partially Rarefied Flows

Multiple temperature kinetic model and gas-kinetic method for hypersonic non-equilibrium flow computations

Thermal conductivity of nitrogen in the temperature range 350–2500 K

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