Author: Shan Fu Shen
Publisher:
ISBN:
Category :
Languages : en
Pages : 49
Book Description
A differential approximation for radiative transport is obtained which leads to a radiation term of the same order as the conduction term in the gas dynamic energy equation. It may be used to generate radiative energy flux and boundary conditions. As a demonstration, the plane-parallel Milne problem is worked out. (Author).
On the Differential Equation Approximation in Radiative Gas Dynamics
Author: Shan Fu Shen
Publisher:
ISBN:
Category :
Languages : en
Pages : 49
Book Description
A differential approximation for radiative transport is obtained which leads to a radiation term of the same order as the conduction term in the gas dynamic energy equation. It may be used to generate radiative energy flux and boundary conditions. As a demonstration, the plane-parallel Milne problem is worked out. (Author).
Publisher:
ISBN:
Category :
Languages : en
Pages : 49
Book Description
A differential approximation for radiative transport is obtained which leads to a radiation term of the same order as the conduction term in the gas dynamic energy equation. It may be used to generate radiative energy flux and boundary conditions. As a demonstration, the plane-parallel Milne problem is worked out. (Author).
Radiation Gas Dynamics
Author: Shih-I. Pai
Publisher: Springer Science & Business Media
ISBN: 3709157307
Category : Science
Languages : en
Pages : 237
Book Description
When the temperature of a gas is not too high and the density of a gas is not too low, the transfer of heat by radiation is usually negligibly small in comparison with that by conduction and convection. However, in the hypersonic flow of space flight, particularly in the re-entry of a space vehicle, and in the flow problem involving nuclear reaction such as in the blast wave of nuclear bomb or in the peaceful use of the controlled fusion reaction, the temperature of the gas may be very high and the density of the gas may be very low. As a result, thermal radiation becomes a very important mode of heat transfer. A complete analysis of such high temperature flow fields should be based upon a study of the gasdynamic field and the radiation field simultaneously. Hence during the last few years, considerable efforts have been made to study such interaction problems between gasdynamic field and radiation field and a new title, Radiation Gasdynamics, has been suggested for this subject. Even though radiative transfer has been studied for a long time by astro physicists, the interaction between the radiation field and the gadsynamic field has been only extensively studied recently.
Publisher: Springer Science & Business Media
ISBN: 3709157307
Category : Science
Languages : en
Pages : 237
Book Description
When the temperature of a gas is not too high and the density of a gas is not too low, the transfer of heat by radiation is usually negligibly small in comparison with that by conduction and convection. However, in the hypersonic flow of space flight, particularly in the re-entry of a space vehicle, and in the flow problem involving nuclear reaction such as in the blast wave of nuclear bomb or in the peaceful use of the controlled fusion reaction, the temperature of the gas may be very high and the density of the gas may be very low. As a result, thermal radiation becomes a very important mode of heat transfer. A complete analysis of such high temperature flow fields should be based upon a study of the gasdynamic field and the radiation field simultaneously. Hence during the last few years, considerable efforts have been made to study such interaction problems between gasdynamic field and radiation field and a new title, Radiation Gasdynamics, has been suggested for this subject. Even though radiative transfer has been studied for a long time by astro physicists, the interaction between the radiation field and the gadsynamic field has been only extensively studied recently.
The Method of Differential Approximation
Author: Y.I. Shokin
Publisher: Springer
ISBN:
Category : Science
Languages : en
Pages : 320
Book Description
I am very glad that this book is now accessible to English-speaking scientists. During the three years following the publication of the original Russian edition, the method of differential approximation has been rapidly expanded and unfortunately I was unable to incorporate into the English edition all of the material which whould have reflected its present state of development. Nevertheless, a considerable amount of recently obtained results have been added and the bibliography has been enlarged accordingly, so that the English edition is one third longer than the Russian original. Mathematical rigorousness is a basic feature of this monograph. The reader should therefore be familiar with the theory of partial differential equations and difference equations. Some knowledge of group theory as applied to problems in physics, especially the theory of Lie groups, would also be useful. The treatment of the approximation of gas dynamic equations focuses on the question of how to characterize the typical features of difference equations on the basis of the related differential approximation, which can be discussed using the fully developed theory of partial differential equations.
Publisher: Springer
ISBN:
Category : Science
Languages : en
Pages : 320
Book Description
I am very glad that this book is now accessible to English-speaking scientists. During the three years following the publication of the original Russian edition, the method of differential approximation has been rapidly expanded and unfortunately I was unable to incorporate into the English edition all of the material which whould have reflected its present state of development. Nevertheless, a considerable amount of recently obtained results have been added and the bibliography has been enlarged accordingly, so that the English edition is one third longer than the Russian original. Mathematical rigorousness is a basic feature of this monograph. The reader should therefore be familiar with the theory of partial differential equations and difference equations. Some knowledge of group theory as applied to problems in physics, especially the theory of Lie groups, would also be useful. The treatment of the approximation of gas dynamic equations focuses on the question of how to characterize the typical features of difference equations on the basis of the related differential approximation, which can be discussed using the fully developed theory of partial differential equations.
Radiative Energy Transfer
Author: Robert Goulard
Publisher: Elsevier
ISBN: 1483157067
Category : Science
Languages : en
Pages : 677
Book Description
Radiative Energy Transfer presents the proceedings of the symposium on interdisciplinary aspects of radiative energy transfer held in Philadelphia, Pennsylvania on February 24-26, 1966. The book includes topics on the two main classical directions of radiative transfer: diagnostic techniques and energy exchanges. The text also covers topics on molecular band models, inversion techniques, scattering problems, and shock-wave structure. Topics on high-speed shocks, stellar atmospheres, and meteorology are also encompassed.
Publisher: Elsevier
ISBN: 1483157067
Category : Science
Languages : en
Pages : 677
Book Description
Radiative Energy Transfer presents the proceedings of the symposium on interdisciplinary aspects of radiative energy transfer held in Philadelphia, Pennsylvania on February 24-26, 1966. The book includes topics on the two main classical directions of radiative transfer: diagnostic techniques and energy exchanges. The text also covers topics on molecular band models, inversion techniques, scattering problems, and shock-wave structure. Topics on high-speed shocks, stellar atmospheres, and meteorology are also encompassed.
Modern Developments in Gas Dynamics
Author: W. H. Loh
Publisher: Springer Science & Business Media
ISBN: 1461586240
Category : Technology & Engineering
Languages : en
Pages : 394
Book Description
During the last decade, the rapid growth of knowledge in the field of fluid mechanics and heat transfer has resulted in many significant ad vances of interest to students, engineers, and scientists. Accordingly, a course entitled "Modern Developments in Fluid Mechanics and Heat Transfer" was given at the University of California to present significant recent theoretical and experimental work. The course consisted of seven parts: I-Introduction; II-Hydraulic Analogy for Gas Dynamics; 111- Turbulence and Unsteady Gas Dynamics; IV-Rarefied and Radiation Gas Dynamics; V-Biological Fluid Mechanics; VI-Hypersonic and Plasma Gas Dynamics; and VII-Heat Transfer in Hypersonic Flows. The material, presented by the undersigned as course instructor and by various guest lecturers, could easily be adapted by other universities for use as a text for a one-semester senior or graduate course on the subject. Due to the extensive notes developed during the University of California course, it was decided to publish the material in three volumes, of which the present is the first. The succeeding volumes will be entitled "Selected Topics in Fluid and Bio-Fluid Mechanics" and "Introduction to Steady and Unsteady Gas Dynamics." Finally, I must express a word of appreciation to my wife Irene and to my children, Wellington Jr. and Victoria, who made it possible for me to write and edit this book in the very quiet atmosphere of our home.
Publisher: Springer Science & Business Media
ISBN: 1461586240
Category : Technology & Engineering
Languages : en
Pages : 394
Book Description
During the last decade, the rapid growth of knowledge in the field of fluid mechanics and heat transfer has resulted in many significant ad vances of interest to students, engineers, and scientists. Accordingly, a course entitled "Modern Developments in Fluid Mechanics and Heat Transfer" was given at the University of California to present significant recent theoretical and experimental work. The course consisted of seven parts: I-Introduction; II-Hydraulic Analogy for Gas Dynamics; 111- Turbulence and Unsteady Gas Dynamics; IV-Rarefied and Radiation Gas Dynamics; V-Biological Fluid Mechanics; VI-Hypersonic and Plasma Gas Dynamics; and VII-Heat Transfer in Hypersonic Flows. The material, presented by the undersigned as course instructor and by various guest lecturers, could easily be adapted by other universities for use as a text for a one-semester senior or graduate course on the subject. Due to the extensive notes developed during the University of California course, it was decided to publish the material in three volumes, of which the present is the first. The succeeding volumes will be entitled "Selected Topics in Fluid and Bio-Fluid Mechanics" and "Introduction to Steady and Unsteady Gas Dynamics." Finally, I must express a word of appreciation to my wife Irene and to my children, Wellington Jr. and Victoria, who made it possible for me to write and edit this book in the very quiet atmosphere of our home.
Radiation and Reentry
Author: S Penner
Publisher: Elsevier
ISBN: 0323147755
Category : Technology & Engineering
Languages : en
Pages : 506
Book Description
Radiation and Reentry is an integrated review of a series of publications dealing with radiative transfer theory, applied spectroscopy, radiation gas dynamics, and ablation phenomena. This book contains seven chapters and begins with a presentation of opacity calculations under conditions for which detailed considerations of spectral line structures and widths are not required. The discussion then shifts to the basic methods involved in the formulation of radiative transfer problems; origin and definition of the Planck and Rosseland mean free paths; the conservation equations for reacting, multicomponent gas mixtures with proper allowance for radiative energy flux; and similarity parameters in radiation gas dynamics. These topics are followed by a summary of data relevant to the optically thick, optically thin, and isothermal cases for air in local thermodynamic equilibrium. A chapter describes the radiative properties of spherical particles and their particle size distributions. Another chapter considers the estimation of radiant-energy transmission through atmosphere. The concluding chapters explore the radiation transfer effects on the flow about a re-entry body and the specific problems of the effect of radiant-energy transfer on acoustic waves, shock wave structure, and shock and boundary layers. These chapters also examine the theoretical and experimental studies on the ablation of re-entry vehicles. This book is of great value to educated nonspecialists who are interested in the application of radiation field to high-speed atmospheric entry.
Publisher: Elsevier
ISBN: 0323147755
Category : Technology & Engineering
Languages : en
Pages : 506
Book Description
Radiation and Reentry is an integrated review of a series of publications dealing with radiative transfer theory, applied spectroscopy, radiation gas dynamics, and ablation phenomena. This book contains seven chapters and begins with a presentation of opacity calculations under conditions for which detailed considerations of spectral line structures and widths are not required. The discussion then shifts to the basic methods involved in the formulation of radiative transfer problems; origin and definition of the Planck and Rosseland mean free paths; the conservation equations for reacting, multicomponent gas mixtures with proper allowance for radiative energy flux; and similarity parameters in radiation gas dynamics. These topics are followed by a summary of data relevant to the optically thick, optically thin, and isothermal cases for air in local thermodynamic equilibrium. A chapter describes the radiative properties of spherical particles and their particle size distributions. Another chapter considers the estimation of radiant-energy transmission through atmosphere. The concluding chapters explore the radiation transfer effects on the flow about a re-entry body and the specific problems of the effect of radiant-energy transfer on acoustic waves, shock wave structure, and shock and boundary layers. These chapters also examine the theoretical and experimental studies on the ablation of re-entry vehicles. This book is of great value to educated nonspecialists who are interested in the application of radiation field to high-speed atmospheric entry.