Author: Franz Hindelang
Publisher:
ISBN:
Category : Carbon dioxide
Languages : en
Pages : 44
Book Description
The harmonic oscillator rigid-rotator model has been used to calculate the relaxation region behind a shock wave in carbon dioxide. Finite relaxation rates for the three different vibrational modes and two dissociation reactions are included. Models for the coupling between the vibrational relaxation and the dissociation process are based on the assumption that dissociation can proceed from any vibrational level with equal probability. Two different models for the vibrational excitation have been examined. Solutions have been obtained for the interdependent fluid-flow, chemical rate, and vibrational relaxation-rate equations incorporating estimated rate coefficients. Results are presented in the form of flow-field profiles for density, pressure, translational and vibrational temperatures, and species concentrations. The effects of vibrational excitation, vibration-dissociation coupling, and energy exchange between the vibrational modes are investigated. The effect of vibrational relaxation and vibration-dissociation coupling is much stronger in CO2 with three different vibrational modes than in diatomic gases with only a single mode. The results of this study show that the effect of coupled vibrational relaxation and dissociation can sometimes alter the flow-field profiles by a factor of 2 compared to similar calculations without such coupling. For vibrational relaxation the results indicate that the shock-wave profiles depend primarily on the rate at which the translational energy is fed into internal modes and not so strongly on the energy distribution among the modes.
Coupled Vibration and Dissociation Relaxation Behind Strong Shock Waves in Carbon Dioxide
Author: Franz Hindelang
Publisher:
ISBN:
Category : Carbon dioxide
Languages : en
Pages : 44
Book Description
The harmonic oscillator rigid-rotator model has been used to calculate the relaxation region behind a shock wave in carbon dioxide. Finite relaxation rates for the three different vibrational modes and two dissociation reactions are included. Models for the coupling between the vibrational relaxation and the dissociation process are based on the assumption that dissociation can proceed from any vibrational level with equal probability. Two different models for the vibrational excitation have been examined. Solutions have been obtained for the interdependent fluid-flow, chemical rate, and vibrational relaxation-rate equations incorporating estimated rate coefficients. Results are presented in the form of flow-field profiles for density, pressure, translational and vibrational temperatures, and species concentrations. The effects of vibrational excitation, vibration-dissociation coupling, and energy exchange between the vibrational modes are investigated. The effect of vibrational relaxation and vibration-dissociation coupling is much stronger in CO2 with three different vibrational modes than in diatomic gases with only a single mode. The results of this study show that the effect of coupled vibrational relaxation and dissociation can sometimes alter the flow-field profiles by a factor of 2 compared to similar calculations without such coupling. For vibrational relaxation the results indicate that the shock-wave profiles depend primarily on the rate at which the translational energy is fed into internal modes and not so strongly on the energy distribution among the modes.
Publisher:
ISBN:
Category : Carbon dioxide
Languages : en
Pages : 44
Book Description
The harmonic oscillator rigid-rotator model has been used to calculate the relaxation region behind a shock wave in carbon dioxide. Finite relaxation rates for the three different vibrational modes and two dissociation reactions are included. Models for the coupling between the vibrational relaxation and the dissociation process are based on the assumption that dissociation can proceed from any vibrational level with equal probability. Two different models for the vibrational excitation have been examined. Solutions have been obtained for the interdependent fluid-flow, chemical rate, and vibrational relaxation-rate equations incorporating estimated rate coefficients. Results are presented in the form of flow-field profiles for density, pressure, translational and vibrational temperatures, and species concentrations. The effects of vibrational excitation, vibration-dissociation coupling, and energy exchange between the vibrational modes are investigated. The effect of vibrational relaxation and vibration-dissociation coupling is much stronger in CO2 with three different vibrational modes than in diatomic gases with only a single mode. The results of this study show that the effect of coupled vibrational relaxation and dissociation can sometimes alter the flow-field profiles by a factor of 2 compared to similar calculations without such coupling. For vibrational relaxation the results indicate that the shock-wave profiles depend primarily on the rate at which the translational energy is fed into internal modes and not so strongly on the energy distribution among the modes.
Vibrational-relaxation Measurements in Shock-heated Carbon Dioxide by Tuned-laser Absorptivity
Author: Donald James Eckstrom
Publisher:
ISBN:
Category : Carbon dioxide
Languages : en
Pages : 142
Book Description
Publisher:
ISBN:
Category : Carbon dioxide
Languages : en
Pages : 142
Book Description
Data Index for Energy Transfer Collisions of Atoms and Molecules, 1970-1979
Author: J. W. Gallagher
Publisher:
ISBN:
Category : Atoms
Languages : en
Pages : 356
Book Description
Publisher:
ISBN:
Category : Atoms
Languages : en
Pages : 356
Book Description
Absorption and Dispersion of Ultrasonic Waves
Author: Karl F. Herzfeld
Publisher: Academic Press
ISBN: 1483275701
Category : Science
Languages : en
Pages : 554
Book Description
Absorption and Dispersion of Ultrasonic Waves focuses on the influence of ultrasonics on molecular processes in liquids and gases, including hydrodynamics, energy exchange, and chemical reactions. The book first offers information on the Stokes-Navier equations of hydrodynamics, as well as equations of motion, viscosity, formal introduction of volume viscosity, and linearized wave equation for a nonviscous fluid. The manuscript then ponders on energy exchange between internal and external degrees of freedom as relaxation phenomenon; effect of slow energy exchange on sound propagation; different ways of evaluating the dispersion curve; and exact calculation of absorption and dispersion. The text examines the effects of chemical reactions, thermodynamic theory of relaxation, and mixtures. The book also evaluates the absorption of high intensity sound waves, ratio of relaxation absorption to classical absorption at maximum, and gas mixtures. Discussions also focus on translational relaxation in monatomic gases, linear triatomic molecules, and results for rotational relaxation. The manuscript is a dependable source of data for readers interested in the absorption and dispersion of ultrasonic waves.
Publisher: Academic Press
ISBN: 1483275701
Category : Science
Languages : en
Pages : 554
Book Description
Absorption and Dispersion of Ultrasonic Waves focuses on the influence of ultrasonics on molecular processes in liquids and gases, including hydrodynamics, energy exchange, and chemical reactions. The book first offers information on the Stokes-Navier equations of hydrodynamics, as well as equations of motion, viscosity, formal introduction of volume viscosity, and linearized wave equation for a nonviscous fluid. The manuscript then ponders on energy exchange between internal and external degrees of freedom as relaxation phenomenon; effect of slow energy exchange on sound propagation; different ways of evaluating the dispersion curve; and exact calculation of absorption and dispersion. The text examines the effects of chemical reactions, thermodynamic theory of relaxation, and mixtures. The book also evaluates the absorption of high intensity sound waves, ratio of relaxation absorption to classical absorption at maximum, and gas mixtures. Discussions also focus on translational relaxation in monatomic gases, linear triatomic molecules, and results for rotational relaxation. The manuscript is a dependable source of data for readers interested in the absorption and dispersion of ultrasonic waves.
NBS Special Publication
Author:
Publisher:
ISBN:
Category : Weights and measures
Languages : en
Pages : 858
Book Description
Publisher:
ISBN:
Category : Weights and measures
Languages : en
Pages : 858
Book Description
Report of Investigations
Relaxation of the Bending Mode of Carbon Dioxide by Vibration to Rotation and Vibration to Vibration Energy Transfer
Author: Peter McAllum Walsh
Publisher:
ISBN:
Category : Carbon dioxide
Languages : en
Pages : 262
Book Description
Publisher:
ISBN:
Category : Carbon dioxide
Languages : en
Pages : 262
Book Description
NASA Technical Note
Combustion at Elevated Pressures in a Spherical Vessel
Author: Joseph Grumer
Publisher:
ISBN:
Category : Combustion
Languages : en
Pages : 28
Book Description
Publisher:
ISBN:
Category : Combustion
Languages : en
Pages : 28
Book Description