Perspective on hypersonic nonequilibrium flow

Cheng, H. K.; Emanuel, George

doi:10.2514/3.12446

Cited by 58 publications

(16 citation statements)

References 97 publications

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“…This equations set is more correct, than the set of equations of thin viscous shock layer (TVSL) based on Navier-Stokes equations. The similar set of equations was obtained from Grad's thirteen-moment equations in approximation of thin layer for monatomic gas in papers [8,9]. H.K.…”

Section: Introductionmentioning

confidence: 99%

“…H.K. Cheng et al [8,9] derived the correlation principle of two TVSL equations sets: Navier-Stokes based (continuum model) and 13-moment theory based (with non-linear terms in stress tensor and heat flux vector) when these equations are written in von Mises or Dorodnitsyn variables. It was shown that heat flux and skin friction can be determined from the Navier-Stokes based TVSL equations, in other words, translational nonequilibrium does not influence on surface heat flux and skin friction.…”

Section: Introductionmentioning

confidence: 99%

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Analytical prediction of heat transfer and skin friction in 3D transitional hypersonic flows over blunt bodies

Брыкина¹

2014

AIP Conference Proceedings

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The three-dimensional hypersonic rarefied gas flow over blunt bodies in the transitional flow regime is studied. The 3D thin viscous shock layer equations are solved by the asymptotic method developed for low Re numbers. The simple analytical solution is obtained for heat transfer and skin friction coefficients as functions of flow parameters and body geometry parameters. The values of these coefficients approach their values in the free molecular flow at unit accommodation coefficient as Reynolds number tends to zero. Comparison with DSMC solutions is carried out.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Analytical prediction of heat transfer and skin friction in 3D transitional hypersonic flows over blunt bodies

Брыкина¹

2014

AIP Conference Proceedings

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“…These include the widely-used perfect gas model, along with the more general equilibrium, nonequilibrium, and frozen chemistry assumptions." Cheng & Emanuel (1995) summarize the difficulty in accurately modeling these chemical reactions: "Current research developments in high-temperature flow physics still do not possess a methodology base with unquestioned certainty. A rational way to derive an equation set for a nonequilibrium flow is to write the time rate of population change of atoms and molecules, with a specific energy state, as the difference between the sum of rates of all collisional and radiative transitions that populate a given state and the sum of rates that depopulate the state."…”

Section: Methodsmentioning

confidence: 99%

Critical Hypersonic Aerothermodynamic Phenomena

Bertin

Cummings

2006

Annu. Rev. Fluid Mech.

237

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The challenges in understanding hypersonic flight are discussed and critical hyper sonic aerothermodynamics issues are reviewed. The ability of current analytical meth ods, numerical methods, ground testing capabilities, and flight testing approaches to predict hypersonic flow are evaluated. The areas where aerothermodynamic short comings restrict our ability to design and analyze hypersonic vehicles are discussed, and prospects for future capabilities are reviewed. Considerable work still needs to be done before our understanding of hypersonic flow will allow for the accurate pre diction of vehicle flight characteristics throughout the flight envelope from launch to orbital insertion.

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“…As applied to various hypersonic flows (such as thin viscous shock layers and free jet boundary layers in wakes), thin layer approximations of the moment gas kinetic equations were successfully used in [1][2][3][4] (see also [5]). …”

Section: Introductionmentioning

confidence: 99%

Thin-layer version of the moment equations in the boundary layer problem

Ankudinov

2012

Comput. Math. and Math. Phys.

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The two dimensional problem of a hypersonic kinetic boundary layer developing on a thin body in the case of a monatomic gas is considered. The model of the flow arises from the kinetic theory of gases and, within its accuracy, i.e., in the approximation of a hypersonic boundary layer, takes into account the strong nonequilibrium of the flow with respect to translational degrees of freedom. A method for representing the solution of the problem in terms of the solution of a similar classical (Navier-Stokes) hypersonic boundary layer problem is described. For the kinetic version of the prob lem, it is shown that the shear stress and the specific heat flux on the body surface are equal to their counterparts in the Navier-Stokes boundary layer.

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Perspective on hypersonic nonequilibrium flow

Cited by 58 publications

References 97 publications

Analytical prediction of heat transfer and skin friction in 3D transitional hypersonic flows over blunt bodies

Analytical prediction of heat transfer and skin friction in 3D transitional hypersonic flows over blunt bodies

Critical Hypersonic Aerothermodynamic Phenomena

Thin-layer version of the moment equations in the boundary layer problem

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