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On Some Numerical Difficulties In Integrating The Equations For One Dimensional Nonequilibrium Nozzle Flow
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Book Synopsis On Some Numerical Difficulties in Integrating the Equations for One-dimensional Nonequilibrium Nozzle Flow by : Harvard Lomax
Download or read book On Some Numerical Difficulties in Integrating the Equations for One-dimensional Nonequilibrium Nozzle Flow written by Harvard Lomax and published by . This book was released on 1969 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On Some Numerical Difficulties in Integrating the Equations for One-dimensional Nonequilibrium Nozzle Flow by : Harvard Lomax
Download or read book On Some Numerical Difficulties in Integrating the Equations for One-dimensional Nonequilibrium Nozzle Flow written by Harvard Lomax and published by . This book was released on 1969 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Method for Calculation of the One-dimensional Nonequilibrium Flow of a General Gas Mixture Through a Hypersonic Nozzle by : George Emanuel
Download or read book Method for Calculation of the One-dimensional Nonequilibrium Flow of a General Gas Mixture Through a Hypersonic Nozzle written by George Emanuel and published by . This book was released on 1962 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: The work described is a continuation of that reported previously in AEDC-TN-61-65 (calculation of the one-dimensional nonequilibrium flow of air through a hypersonic nozzle). In particular, a method is presented for the exact numerical calculation of the one-dimensional nonequilibrium flow of a general gas mixture through a converging-diverging nozzle. General equations are given for a mixture of perfect gases with an arbitrary number of species undergoing an arbitrary number of chemical and vibrational rate processes. An inexact but accurate method, similar in form to the method employed in the nonequilibrium case, is also given for calculating the corresponding one-dimensional equilibrium flow. The numerical method of solution applicable to both cases is described, including a simple procedure for starting the nonequilibrium calculations from an equilibrium condition and an improved method for controlling integration step size. The factors that affect over-all computation time are discussed. A computer program for an IBM 7090 has been written for the general gas mixture. Specific calculations are reported for a model of air consisting of O, N, NO, N2, and O2 and including eight chemical reactions plus the vibrational processes of the three diatomic species.
Download or read book NASA Technical Note written by and published by . This book was released on 1969 with total page 870 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1987 with total page 952 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Proceedings of the Third Symposium on the Plasma Sheath-Plasma Electromagnetics of Hypersonic Flight: Electrical properties of shock-ionized flow fields by :
Download or read book Proceedings of the Third Symposium on the Plasma Sheath-Plasma Electromagnetics of Hypersonic Flight: Electrical properties of shock-ionized flow fields written by and published by . This book was released on 1967 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of the unclassified papers presented at the Third Symposium on the Plasma Sheath-Plasma Electromagnetics of Hypersonic Flight. This symposium consisted of the review of progress in reentry communication studies during the three year period since the prior meeting. The program of this symposium on plasma electromagnetics of hypersonic flight involves a wide range of scientific disciplines, including electromagnetics, aerodynamics, aero-thermochemistry, plasma dynamics, electronics, and high- temperature phenomena. The papers were selected to explore as many of these facets of research, including the results of laboratory, flight, and system tests, as time permitted.
Author :United States. National Aeronautics and Space Administration Scientific and Technical Information Division Publisher : ISBN 13 : Total Pages :966 pages Book Rating :4.F/5 ( download)
Book Synopsis NASA Scientific and Technical Reports by : United States. National Aeronautics and Space Administration Scientific and Technical Information Division
Download or read book NASA Scientific and Technical Reports written by United States. National Aeronautics and Space Administration Scientific and Technical Information Division and published by . This book was released on 1970 with total page 966 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Monthly Catalog of United States Government Publications by :
Download or read book Monthly Catalog of United States Government Publications written by and published by . This book was released on 1969 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :United States. National Aeronautics and Space Administration. Scientific and Technical Information Division Publisher : ISBN 13 : Total Pages :962 pages Book Rating :4.E/5 ( download)
Book Synopsis A Selected Listing of NASA Scientific and Technical Reports by : United States. National Aeronautics and Space Administration. Scientific and Technical Information Division
Download or read book A Selected Listing of NASA Scientific and Technical Reports written by United States. National Aeronautics and Space Administration. Scientific and Technical Information Division and published by . This book was released on 1970 with total page 962 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :United States. National Aeronautics and Space Administration. Scientific and Technical Information Division Publisher : ISBN 13 : Total Pages :956 pages Book Rating :4.:/5 (317 download)
Book Synopsis NASA Scientific and Technical Reports and Publications for 1969 - A Selected Listing by : United States. National Aeronautics and Space Administration. Scientific and Technical Information Division
Download or read book NASA Scientific and Technical Reports and Publications for 1969 - A Selected Listing written by United States. National Aeronautics and Space Administration. Scientific and Technical Information Division and published by . This book was released on 1970 with total page 956 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1971 with total page 804 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book NASA SP. written by and published by . This book was released on 1993 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Time-dependent Analysis for Quasi-one-dimensional Nozzle Flows with Vibrational and Chemical Nonequilibrium by : John David Anderson (Jr.)
Download or read book A Time-dependent Analysis for Quasi-one-dimensional Nozzle Flows with Vibrational and Chemical Nonequilibrium written by John David Anderson (Jr.) and published by . This book was released on 1969 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).
Book Synopsis A Simplified Molecular Model for Studying Vibration-dissociation Coupling in Fluid Flows by : Walter Albert Reinhardt
Download or read book A Simplified Molecular Model for Studying Vibration-dissociation Coupling in Fluid Flows written by Walter Albert Reinhardt and published by . This book was released on 1969 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Problems Underlying the Numerical Integration of the Chemical and Vibrational Rate Equations in a Near-equilibrium Flow by : George Emanuel
Download or read book Problems Underlying the Numerical Integration of the Chemical and Vibrational Rate Equations in a Near-equilibrium Flow written by George Emanuel and published by . This book was released on 1963 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: The work described is a continuation of that reported previously in AEDC-TN-61-65 and AEDC-TDR-62-131. In particular, the present report contains the basis for the method described in AEDC-TDR-62-131 for precise numerical calculation of one-dimensional nonequilibrium flow of a complex gas mixture through a nozzle. The contributions of the two above reports are reviewed briefly in the introduction. A transformation is shown to exist when the flow is close to equilibrium that transforms the chemical rate equations into a simpler system of uncoupled rate equations. Each of the transformed chemical rate equations is similar in form to a vibrational rate equation. The coefficients appearing in the transformed equations are given by solutions of an eigenvalue problem. These coefficients are shown to be real and positive. An example is given that illustrates the transformation for a simple gas model and shows that the transformation behaves correctly in the frozen and equilibrium limits.
Book Synopsis Government Reports Annual Index by :
Download or read book Government Reports Annual Index written by and published by . This book was released on 1969 with total page 1008 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book NASA Technical Report written by and published by . This book was released on 1969 with total page 1158 pages. Available in PDF, EPUB and Kindle. Book excerpt:
