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Similarity of Coupled Non-equilibrium Flows Behind Normal Shock Waves

Similarity of Coupled Non-equilibrium Flows Behind Normal Shock Waves PDF Author: James Verne Dalton
Publisher:
ISBN:
Category :
Languages : en
Pages : 80

Book Description


Similarity of Coupled Non-equilibrium Flows Behind Normal Shock Waves

Similarity of Coupled Non-equilibrium Flows Behind Normal Shock Waves PDF Author: James Verne Dalton
Publisher:
ISBN:
Category :
Languages : en
Pages : 80

Book Description


Similitude for Normal Shock Waves in Nonequilibrium Flows

Similitude for Normal Shock Waves in Nonequilibrium Flows PDF Author: Ralph E. Thomas
Publisher:
ISBN:
Category : Shock waves
Languages : en
Pages : 60

Book Description
Similarity parameters are developed which govern the length of nonequilibrium zones behind normal shock waves. Non-equilibrium effects produced by both vibrational relaxation and dissociation are considered. The parameters can also account for arbitrary levels of free-stream vibrational energy or dissociation level. The validity of the parameters is examined using numerical computations of the properties of the non-equilibrium fields. These computations are made with the aid of experimentally based rate expressions. The parameters, when written in a form describing the variation of non-equilibrium zone length with Mach number, are shown to have acceptable accuracy. (Author).

Chemical Non-equilibrium Shock Flow

Chemical Non-equilibrium Shock Flow PDF Author: V. A. Langelo
Publisher:
ISBN:
Category : Air flow
Languages : en
Pages : 70

Book Description
The problem of calculating the flow behind a normal shock front is discussed. The additional complication of finite reaction rate chemistry has been included. A numerical method and several results of flow across a shock wave with an eleven-species, thirteen reaction model of air are presented. Results of the method are discussed and compared with those of Hall, Escheroeder, and Marrone (inviscid hypersonic air flows with coupled non-equilibrium processes. IAS 30th annual meeting, Jan 1962). (Author).

Inviscid, Nonequilibrium Flow Behind Bow and Normal Shock Waves: General analysis and numerical examples, by P. V. Marrone

Inviscid, Nonequilibrium Flow Behind Bow and Normal Shock Waves: General analysis and numerical examples, by P. V. Marrone PDF Author: Cornell Aeronautical Laboratory
Publisher:
ISBN:
Category : Shock waves
Languages : en
Pages : 120

Book Description


Inviscid, Nonequilibrium Flow Behind Bow and Normal Shock Waves: The revised normal shock program, by Leonard J. Garr [and others] 1966

Inviscid, Nonequilibrium Flow Behind Bow and Normal Shock Waves: The revised normal shock program, by Leonard J. Garr [and others] 1966 PDF Author: Cornell Aeronautical Laboratory
Publisher:
ISBN:
Category : Shock waves
Languages : en
Pages : 144

Book Description


Radiation-coupled Chemical Nonequilibrium Normal Shock Waves

Radiation-coupled Chemical Nonequilibrium Normal Shock Waves PDF Author: Martin Philip Sherman
Publisher:
ISBN:
Category : Radiation
Languages : en
Pages : 62

Book Description
The problem of a normal shock wave in air or other gas with complex chemistry and coupled radiation is considered. Molecular transport properties are neglected and the gas mixture is assumed in translational, rotation, vibrational and electronic equilibrium with the local temperature. Only continuum radiation is included. Solutions are presented for strong shock waves in air, where air is assumed to consist of eleven species, N2, O2, O, NO, NO+, N+, O, N2+, O2+ and electrons. The usal methods of integrating the stiff ordinary differential equations of chemical nonequilibrium flow are limited to very small step sizes. Methods are developed which permit vastly larger step sizes. Solutions are obtained for the optically thin case, and with absorption of radiation behind the shock front. The spectrum is broken into regions inside of which the absorption cross sections are only a function of temperature. (Author).

Study of the Nonequilibrium Flow Field Behind Normal Shock Waves in Carbon Dioxide

Study of the Nonequilibrium Flow Field Behind Normal Shock Waves in Carbon Dioxide PDF Author: John T. Howe
Publisher:
ISBN:
Category : Carbon dioxide
Languages : en
Pages : 48

Book Description


A Simplified Molecular Model for Studying Vibration-dissociation Coupling in Fluid Flows

A Simplified Molecular Model for Studying Vibration-dissociation Coupling in Fluid Flows PDF Author: Walter Albert Reinhardt
Publisher:
ISBN:
Category : Dissociation
Languages : en
Pages : 340

Book Description
A simplified mathematical model is derived that is useful for studying the effects of vibration-dissociation coupling in fluid flows. The derivation is based on energy-moment procedure for simplifying the master equations. To obtain the model equations it is assumed that the vibrational energy can be approximated by the introduction of two vibrational temperatures. The effects of molecular anharmonicity are also accounted for in an approximate manner. The parameters contained within the equations are evaluated by making comparisons with experimental data. It is shown that the model contains the minimum required structure allowing favorable agreement with existing experimental data. Numerical solutions are given for the quasi-steady zone behind a normal shock wave, for the complete structure of a shock wave, and for nozzle flow. The results provide the appropriate pre-exponential temperature dependence of the effective dissociation rate, yield and induction time before dissociation is observed, and, in the case of expanding flow, yield one-fourth less effective relaxation time than the Landau-Teller theory. The thermodynamic quantities for the vibrational mode (partition function, internal energy, and specific heat) agree accurately with like quantities evaluated from spectroscopic data. By the introduction of appropriate assumptions it is shown that the equations reduce to a form identical to the Marrone-Treanor model except for a "truncation factor". When the vibrational temperatures are not large, the model is identical to that of Landau and Teller. The numerical procedure used to integrate the system of rate and flow equations is also described.

Study of High-density Hypervelocity Flows and Similitudes

Study of High-density Hypervelocity Flows and Similitudes PDF Author: Cornell Aeronautical Laboratory
Publisher:
ISBN:
Category : Gas flow
Languages : en
Pages : 320

Book Description


NASA Technical Note

NASA Technical Note PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 470

Book Description