Author: Carlo Ferrari
Publisher:
ISBN:
Category :
Languages : en
Pages : 40
Book Description
The general theory about gas-dynamics with nonequilibrium radiative and collisional ionization is applied to the strong normal shock wave. It is shown that the problem is reduced to the solution of a system of two non-linear integral equations. It is proved that, if certain conditions are satisfied, an iteration method, to resolve these equations, can be applied; it turns out then that the fundamental parameter controlling the convergence or non convergence of the procedure is the value of the degree of ionization just on the front of the shock. Numerical results are given and the physical complete structure of the shock is analyzed. (Author).
Structure of a Strong Normal Shock Wave Due to Nonequilibrium Radiation and Collisional Ionization
Author: Carlo Ferrari
Publisher:
ISBN:
Category :
Languages : en
Pages : 40
Book Description
The general theory about gas-dynamics with nonequilibrium radiative and collisional ionization is applied to the strong normal shock wave. It is shown that the problem is reduced to the solution of a system of two non-linear integral equations. It is proved that, if certain conditions are satisfied, an iteration method, to resolve these equations, can be applied; it turns out then that the fundamental parameter controlling the convergence or non convergence of the procedure is the value of the degree of ionization just on the front of the shock. Numerical results are given and the physical complete structure of the shock is analyzed. (Author).
Publisher:
ISBN:
Category :
Languages : en
Pages : 40
Book Description
The general theory about gas-dynamics with nonequilibrium radiative and collisional ionization is applied to the strong normal shock wave. It is shown that the problem is reduced to the solution of a system of two non-linear integral equations. It is proved that, if certain conditions are satisfied, an iteration method, to resolve these equations, can be applied; it turns out then that the fundamental parameter controlling the convergence or non convergence of the procedure is the value of the degree of ionization just on the front of the shock. Numerical results are given and the physical complete structure of the shock is analyzed. (Author).
ASME 70-APM-NN
Author: Joseph Henry Clarke
Publisher:
ISBN:
Category : Radiation
Languages : en
Pages : 18
Book Description
Publisher:
ISBN:
Category : Radiation
Languages : en
Pages : 18
Book Description
Asymptotic Solutions Or Normal Shock Waves Structured by Nonequilibrium Radiative and Collisional Ionization
Author: Joseph Henry Clarke
Publisher:
ISBN:
Category :
Languages : en
Pages : 87
Book Description
Normal shock waves structured by nonequilibrium radiative and collisional ionization are solved analytically. On the basis of current literature, an earlier radiation model for monatomic gases is generalized to include the second continuum with the first continuum and the lines; in the model, the one-step radiative ionization process of interest is interior to a much thicker region only weakly structured by the two-step radiative ionization process. Just downstream of the interior embedded discontinuity, it is assumed that electron-atom collisional ionization to local thermodynamic equilibrium occurs over a length that is small compared with the relevant one-step photon path. It is discovered that the appropriate emmission-convection ratio is also a rather small quantity. Both small quantities lead to iterations studied to second approximation. The resulting shock morphology consists of a strong precursor, the embedded discontinuity, an inner collisional tail, and an outer radiative tail. The interaction of the two small parameters requires certain final reinterpretations. Calculations for helium and argon are presented for a downstream degree of ionization of 0.8, an upstream temperature of 300K, and upstream pressures of .001, .0001, and .00001 atmospheres. (Author).
Publisher:
ISBN:
Category :
Languages : en
Pages : 87
Book Description
Normal shock waves structured by nonequilibrium radiative and collisional ionization are solved analytically. On the basis of current literature, an earlier radiation model for monatomic gases is generalized to include the second continuum with the first continuum and the lines; in the model, the one-step radiative ionization process of interest is interior to a much thicker region only weakly structured by the two-step radiative ionization process. Just downstream of the interior embedded discontinuity, it is assumed that electron-atom collisional ionization to local thermodynamic equilibrium occurs over a length that is small compared with the relevant one-step photon path. It is discovered that the appropriate emmission-convection ratio is also a rather small quantity. Both small quantities lead to iterations studied to second approximation. The resulting shock morphology consists of a strong precursor, the embedded discontinuity, an inner collisional tail, and an outer radiative tail. The interaction of the two small parameters requires certain final reinterpretations. Calculations for helium and argon are presented for a downstream degree of ionization of 0.8, an upstream temperature of 300K, and upstream pressures of .001, .0001, and .00001 atmospheres. (Author).
Scientific and Technical Aerospace Reports
Shock Waves Structured by Nonequilibrium Ionizing and Thermal Phenomena
Author: William Henry Foley
Publisher:
ISBN:
Category :
Languages : en
Pages : 48
Book Description
Ionizing shock waves in helium and argon are structured by nonequilibrium radiative and inelastic collisional transitions. The model atom of the monatomic gas has three electronic energy levels. The monatomic gas is not in local equilibrium with respect to population, and local translational equilibrium between the heavy species present and the electron gas is not assumed either. For the flow conditions studied the physics and morphology of the shock is further developed on a continuum basis from previous work, and the shock is found to consist of a far precursor due to radiative excitation, a near precursor due to radiative ionization, an embedded transport shock, an inelastic and thermal collisional relaxation zone, and an equilibrium radiating tail. Of particular interest in the results are the heating of the electron gas in the precursor by the said radiative and the associated de-exciting collisional mechanisms and the subsequent, electron-triggered collisional relaxation zone which is optically transparent to radiation; thus, nonequilibrium radiative and collisional processes are locally uncoupled throughout the shock. A family of numerical examples are displayed diagrammatically for an upstream temperature of 300 degrees K and upstream pressures bbetween 1/1000 and 1/100,000 atmospheres. Selected were those accompanying downstream temperatures giving nominal equilibrium degrees of ionization of either 0.8 or 0.95. (Author).
Publisher:
ISBN:
Category :
Languages : en
Pages : 48
Book Description
Ionizing shock waves in helium and argon are structured by nonequilibrium radiative and inelastic collisional transitions. The model atom of the monatomic gas has three electronic energy levels. The monatomic gas is not in local equilibrium with respect to population, and local translational equilibrium between the heavy species present and the electron gas is not assumed either. For the flow conditions studied the physics and morphology of the shock is further developed on a continuum basis from previous work, and the shock is found to consist of a far precursor due to radiative excitation, a near precursor due to radiative ionization, an embedded transport shock, an inelastic and thermal collisional relaxation zone, and an equilibrium radiating tail. Of particular interest in the results are the heating of the electron gas in the precursor by the said radiative and the associated de-exciting collisional mechanisms and the subsequent, electron-triggered collisional relaxation zone which is optically transparent to radiation; thus, nonequilibrium radiative and collisional processes are locally uncoupled throughout the shock. A family of numerical examples are displayed diagrammatically for an upstream temperature of 300 degrees K and upstream pressures bbetween 1/1000 and 1/100,000 atmospheres. Selected were those accompanying downstream temperatures giving nominal equilibrium degrees of ionization of either 0.8 or 0.95. (Author).
Nuclear Science Abstracts
Shock Wave Structure in a Fully Ionized Gas Based on Multi-component Fluid Theory
Author: Huon Li
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 132
Book Description
The multi-component continuous approach for the investigation of the gasdynamics of a plasma is presented. More information about the flow properties of a plasma can be obtained than from the classical magnetohydrodynamic approach. Also, the resulting equations appear to be more easily solved than the Blotzmann equation of classical kinetic theory. The basic macroscopic conservation equations for a non-reacting multi-component plasma are presented. The fluid properties of each component are referred to the mean velocity of that component. Therefore, no limitations are placed on the magnitude of the diffusion velocities. The effects of electric and magnetic fields are included. The equations for a two-component mixture are used to study the structure of a shock wave in a fully-ionized hydrogen gas. It is assumed that the momentum exchange and energy exchange between the ions and electrons are important because of the strong Coulomb forces present. (Author).
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 132
Book Description
The multi-component continuous approach for the investigation of the gasdynamics of a plasma is presented. More information about the flow properties of a plasma can be obtained than from the classical magnetohydrodynamic approach. Also, the resulting equations appear to be more easily solved than the Blotzmann equation of classical kinetic theory. The basic macroscopic conservation equations for a non-reacting multi-component plasma are presented. The fluid properties of each component are referred to the mean velocity of that component. Therefore, no limitations are placed on the magnitude of the diffusion velocities. The effects of electric and magnetic fields are included. The equations for a two-component mixture are used to study the structure of a shock wave in a fully-ionized hydrogen gas. It is assumed that the momentum exchange and energy exchange between the ions and electrons are important because of the strong Coulomb forces present. (Author).
Plasma Physics Index
Author:
Publisher:
ISBN:
Category : Plasma (Ionized gases)
Languages : en
Pages : 936
Book Description
Publisher:
ISBN:
Category : Plasma (Ionized gases)
Languages : en
Pages : 936
Book Description
Radiation-coupled Chemical Nonequilibrium Normal Shock Waves
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).
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).
Physics of Shock Waves and High-temperature Hydrodynamic Phenomena
Author: I︠A︡kov Borisovich Zelʹdovich
Publisher:
ISBN:
Category : Gases at high temperatures
Languages : en
Pages : 488
Book Description
Publisher:
ISBN:
Category : Gases at high temperatures
Languages : en
Pages : 488
Book Description