Influence of Nonequilibrium Kinetics on Heat Transfer and Diffusion near Re-Entering Body

Armenise, I.; Capitelli, M.; Kustova, Elena; Нагнибеда, Е. А.

doi:10.2514/2.6438

Cited by 35 publications

(21 citation statements)

References 10 publications

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“…7. This figure compares the previous STS chemical frozen flow solution, the STS results with Dunn-Kang dissociation/recombination rates, the correspondent one-temperature solution with Dunn-Kang rates, and the temperature profile retrieved by Bari/SPU in [14]. Considering our results, the dependence of the temperature on the kinetic model is rather weak; even the one-temperature approach gives accurate estimations because the temperature is fixed at both the wall and at the outer edge.…”

Section: B Complete Vibrational and Chemical Kineticsmentioning

confidence: 56%

“…Comparing the results obtained for a chemically frozen flow with the results for the correspondent models of Table 1, we also observe that including chemical reactions in the kinetic scheme leads to an increment in surface heat flux. Figures 8-12 show the vibrational population for the models considered here and the one obtained by Bari/SPU in [14]. In all cases, a strong deviation from the equilibrium conditions occurs.…”

Section: B Complete Vibrational and Chemical Kineticsmentioning

confidence: 93%

“…Figure 6 shows the molar fraction of atomic nitrogen along the stagnation line for all the chemical models considered. The STS results are shown together with the one-temperature results and with the Bari/SPU solution taken from [14]. A strong difference exists in the boundary-layer chemical composition related to the various kinetic models adopted for dissociation-recombination processes.…”

Section: B Complete Vibrational and Chemical Kineticsmentioning

confidence: 97%

“…In [14,15], the flow properties (temperature, chemical composition, and vibrational-level populations) provided by the Bari group were used as input for the computation of the transport terms. Although such an approach is not completely selfconsistent because the flow parameters and transport terms remain uncoupled, it can be considered as a first valuable attempt to estimate the influence of the STS kinetics on flow parameters and wall heat transfer.…”

mentioning

confidence: 99%

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State-to-State Simulation of Nonequilibrium Nitrogen Stagnation-Line Flows: Fluid Dynamics and Vibrational Kinetics

Orsini¹,

Rini²,

Taviani³

et al. 2008

Journal of Thermophysics and Heat Transfer

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An advanced model of fluid dynamics and nonequilibrium vibrational-chemical kinetics in high-temperature viscous flows along the stagnation line is proposed. The present model takes into account detailed state-to-state kinetics and state-dependent transport properties. Fluid dynamics equations are self-consistently coupled to vibrational kinetics, and state-dependent transport terms are properly incorporated in the governing equations. As an example, vibrational kinetics, macroscopic flow parameters, and heat transfer in a N 2 =N mixture are calculated for different flow conditions. A comparison with thermal equilibrium and vibrational frozen flows is presented, showing the important role of detailed kinetics coupled to fluid dynamics. Several models of chemical and vibrational kinetics are assessed and a strong dependence of the flow parameters and surface heat flux on the chemical model is demonstrated. Nomenclature c fr p = mixture frozen specific heat at constant pressure D ij = binary diffusion coefficients D = Fick's diffusion coefficient F = reduced tangential velocity, u=u f = stream function g = dimensionless enthalpy, h=h H M=A j;N = state-specific dissociation rate coefficients h i , h = species and mixture enthalpy per unit mass i, j, k = vibrational quantum number or species indices J i = dimensionless mass diffusion flux J y i = mass diffusion flux normal to the body surface K k;l i;j = rate coefficients for vibrational transitions k f=b r = forward/backward chemical reaction rates l 0 = Chapman-Rubesin parameter M i , M = species and mixture molar mass m i = species molecular mass Ns = total number of species (including vibrational levels) Nv = number of vibrational levels n i , n = species and mixture number density Pr = Prandtl number p = mixture pressure q w = surface heat flux r = local body radius S i , S T = source terms in simplified equations Sc = Schmidt number T = gas temperature u = velocity tangential to the body surface V = auxiliary variable in the Lees-Dorodnitsyn transformation v= velocity normal to the body surface _ W i = dimensionless species source term in the bulk _ W cat i = dimensionless species source term at the wall w = parameters at the body surface _ w i = species source term x, y = Cartesian coordinates x i , y i = species molar and mass fractions = parameters at the boundary-layer edge = first Lees-Dorodnitsyn coordinate = reduced temperature, T=T = thermal conductivity coefficient = shear viscosity coefficient 0 ir , 00 ir = stoichiometric coefficients of reactants and products = second Lees-Dorodnitsyn coordinate i , = species and mixture density

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Section: B Complete Vibrational and Chemical Kineticsmentioning

confidence: 56%

Section: B Complete Vibrational and Chemical Kineticsmentioning

confidence: 93%

Section: B Complete Vibrational and Chemical Kineticsmentioning

confidence: 97%

mentioning

confidence: 99%

See 2 more Smart Citations

State-to-State Simulation of Nonequilibrium Nitrogen Stagnation-Line Flows: Fluid Dynamics and Vibrational Kinetics

Orsini¹,

Rini²,

Taviani³

et al. 2008

Journal of Thermophysics and Heat Transfer

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“…Recently we have considered this problem in the frame of the kinetic theory of gases in the state-to-state approximation [1,2]. The state-to-state transport kinetic theory developed in [3] has been applied to the boundary layer problem [1]: the state-to-state vibrational distributions obtained in [4] have been inserted to the transport theory algorithms as input data for the heat transfer evaluation.…”

Section: Introductionmentioning

confidence: 99%

Non-Equilibrium Distributions and Heat Transfer Near a Catalytic Surface of Re-Entering Bodies

Кустова¹,

Нагнибеда²,

Armenise³

et al. 2003

AIP Conference Proceedings

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Non-equilibrium vibrational-chemical kinetics and heat transfer in an O 2 /O mixture near a silica surface are studied using the state-to-state approach. The effect of non-equilibrium kinetics and surface catalysis on the total heat flux and averaged dissociation rate coefficients is examined. The contribution of thermal conductivity, thermal and mass diffusion and vibrational energy diffusion to the heat transfer is evaluated.

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Interaction of Space Vehicles with Atmospheric Gases

Capitelli

Ferreira²,

Gordiet︠s︡

et al. 2000

Springer Series on Atomic, Optical, and Plasma Physics

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Influence of Nonequilibrium Kinetics on Heat Transfer and Diffusion near Re-Entering Body

Cited by 35 publications

References 10 publications

State-to-State Simulation of Nonequilibrium Nitrogen Stagnation-Line Flows: Fluid Dynamics and Vibrational Kinetics

State-to-State Simulation of Nonequilibrium Nitrogen Stagnation-Line Flows: Fluid Dynamics and Vibrational Kinetics

Non-Equilibrium Distributions and Heat Transfer Near a Catalytic Surface of Re-Entering Bodies

Interaction of Space Vehicles with Atmospheric Gases

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