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New results are presented for inviscid, supersonic and hypersonic blunt-body flow fields obtained with a numerical time-dependent method patterned after that of Moretti and Abbett. In addition, important comments are made with regard to the physical and numerical nature of the method. Specifically, numerical results are presented for two-dimensional and axisymmetric parabolic and cubic blunt bodies as well as blunted wedges and cones; these results are presented for zero degrees angle of attack and for a calorically perfect gas with gamma = 1.4. The numerical results are compared with other existing theoretical and experimental data. Also, the effects of initial conditions and boundary conditions are systematically examined with regard to the convergence of the time-dependent numerical solutions, and the point is made that the initial conditions can not be completely arbitrary. Finally, in order to learn more about the performance of the time-dependent method, a numerical experiment is conducted to examine the unsteady propagation and region of influence of a slight pressure disturbance introduced at a point on the surface of a blunt body.
New results are presented for inviscid, supersonic and hypersonic blunt-body flow fields obtained with a numerical time-dependent method patterned after that of Moretti and Abbett. In addition, important comments are made with regard to the physical and numerical nature of the method. Specifically, numerical results are presented for two-dimensional and axisymmetric parabolic and cubic blunt bodies as well as blunted wedges and cones; these results are presented for zero degrees angle of attack and for a calorically perfect gas with gamma = 1.4. The numerical results are compared with other existing theoretical and experimental data. Also, the effects of initial conditions and boundary conditions are systematically examined with regard to the convergence of the time-dependent numerical solutions, and the point is made that the initial conditions can not be completely arbitrary. Finally, in order to learn more about the performance of the time-dependent method, a numerical experiment is conducted to examine the unsteady propagation and region of influence of a slight pressure disturbance introduced at a point on the surface of a blunt body.
A new technique is presented for the numerical solution of quasi-one-dimensional, vibrational and chemical nonequilibrium nozzle flows including nonequilibrium conditions both upstream and downstream of the throat. This new technique is a time-dependent analysis which entails the explicite finite-difference solution of the quasi-one-dimensional unsteady flow equations in steps of time, starting with assumed initial distributions throughout the nozzle. The steady-state solution is approached at large values of time. A virtue of the present time-dependent analysis is its simplicity, which prevails from its initial physical formulation to the successful receipt of numerical results. Also, the present solution yields the transient as well as the steady-state nonequilibrium nozzle flows. To exemplify the present analysis, results are given for several cases of vibrational and chemical nonequilibrium expansions through nozzles. (Author).
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.
Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Anderson's book provides the most accessible approach to compressible flow for Mechanical and Aerospace Engineering students and professionals. In keeping with previous versions, the 3rd edition uses numerous historical vignettes that show the evolution of the field. New pedagogical features--"Roadmaps" showing the development of a given topic, and "Design Boxes" giving examples of design decisions--will make the 3rd edition even more practical and user-friendly than before. The 3rd edition strikes a careful balance between classical methods of determining compressible flow, and modern numerical and computer techniques (such as CFD) now used widely in industry & research. A new Book Website will contain all problem solutions for instructors.
Since the appearance of computers, numerical methods for discontinuous solutions of quasi-linear hyperbolic systems of partial differential equations have been among the most important research subjects in numerical analysis. The authors have developed a new difference method (named the singularity-separating method) for quasi-linear hyperbolic systems of partial differential equations. Its most important feature is that it possesses a high accuracy even for problems with singularities such as schocks, contact discontinuities, rarefaction waves and detonations. Besides the thorough description of the method itself, its mathematical foundation (stability-convergence theory of difference schemes for initial-boundary-value hyperbolic problems) and its application to supersonic flow around bodies are discussed. Further, the method of lines and its application to blunt body problems and conical flow problems are described in detail. This book should soon be an important working basis for both graduate students and researchers in the field of partial differential equations as well as in mathematical physics.
This book is a self-contained text for those students and readers interested in learning hypersonic flow and high-temperature gas dynamics. It assumes no prior familiarity with either subject on the part of the reader. If you have never studied hypersonic and/or high-temperature gas dynamics before, and if you have never worked extensively in the area, then this book is for you. On the other hand, if you have worked and/or are working in these areas, and you want a cohesive presentation of the fundamentals, a development of important theory and techniques, a discussion of the salient results with emphasis on the physical aspects, and a presentation of modern thinking in these areas, then this book is also for you. In other words, this book is designed for two roles: 1) as an effective classroom text that can be used with ease by the instructor, and understood with ease by the student; and 2) as a viable, professional working tool for engineers, scientists, and managers who have any contact in their jobs with hypersonic and/or high-temperature flow.