Download or read book Design of Maximum Thrust Nozzles with Nonequilibrium Chemically Reacting Flow Volume I Theoretical Development and Results written by Allan A. Taylor and published by . This book was released on 1971 with total page 63 pages. Available in PDF, EPUB and Kindle. Book excerpt: An analysis is presented which permits the design of maximum thrust nozzles for nonequilibrium chemically reacting gas flows. The analysis is based upon the governing equations for a general, multi-component reacting gas. The effects of viscosity, multiple phases, body forces and mixing are neglected. All other states of the gas are assumed to be in equilibrium. Design of the nozzle contour is posed subject to a general isoperimetric constraint. The thrust to be maximized is written in terms of an integral of the pressure forces on the nozzle wall. The design constraints and governing equations are incorporated into the integral to be maximized by means of Lagrange multipliers. (Author).

Download or read book Design of Maximum Thrust Nozzles with Nonequilibrium Chemically Reacting Flow Volume II Computer Program Manual written by Allan A. Taylor and published by . This book was released on 1971 with total page 89 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume I of this report contains the theoretical development for design of maximum thrust nozzles with nonequilibrium, chemically reacting flow. The results of selected parametric studies are also presented. This volume contains a discussion of the computer program that was developed to permit the design capability. The organization of the program is presented and general information is given. An abbreviated description of all the subroutines is given. The input data are discussed in some depth, to assist the potential designer. Finally, four sample cases are presented, one in detail to illustrate the various input options. (Author).

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Thrust Nozzle Optimization for Non Equilibrium Chemically Reacting Flows Including Boundary Layer Effects written by Joe D. Hoffman and published by . This book was released on 1969 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: An optimization analysis and a method for the application of the results are presented for the design of axisymmetric or two-dimensional optimum thrust nozzles for non-equilibrium chemically reacting flows including boundary layer effects. The analysis is based on the usual assumptions applicable to non-equilibrium, chemically reacting flows, and on the assumption that the boundary layer is thin. The problem is formulated to maximize the pressure thrust integral along the supersonic wall contour for a general isoperimetric design constraint. The results of the optimization analysis are a set of hyperbolic partial differential equations for determining the Lagrange multipliers of the optimization problem in the region of interest, and a set of algebraic equations for determining the initial and boundary conditions for these multipliers on the boundaries of the region. Two special cases of the general results for non-equilibrium, chemically reacting flows are presented. These are: (1) flow of a simple dissociating gas, and (2) equilibrium or frozen flow of a general gas mixture. Nozzle design schemes for these two special cases are derived by appropriate reduction of the results for the general case. Numerical schemes for these special cases are discussed. (Author).

Download or read book Design of Maximum Thrust Nozzles for Gas Particle Flows Volume 1 Theoretical Development and Results written by and published by . This book was released on 1971 with total page 101 pages. Available in PDF, EPUB and Kindle. Book excerpt: An optimization analysis is presented for nozzles with gas-particle flows. The problem is formulated to maximize the axial thrust produced along the nozzle contour for a general isoperimetric constraint such as constant nozzle length or constant nozzle surface area. The effects of the ambient pressure are included in the thrust expression to be maximized. The characteristic and compatibility equations are developed and numerical techniques are presented for use in conjunction with the characteristic and compatibility equations. A solution procedure is presented which determines whether or not a given nozzle contour is an optimal solution and a relaxation technique is presented which adjusts the nozzle contour toward the optimal solution. Selected parametric studies are presented. These studies illustrate the effects of changing mesh size, particle size, particle mass flow rate, inlet angle, drag coefficients, heat transfer coefficients, throat radius of curvature, and the scale on the thrust performance and the nozzle geometry of the optimal, fixed length nozzle.

Download or read book Three Dimensional Nozzle Design for Maximum Thrust Volume I Theoretical Development and Results written by Lynn E. Snyder and published by . This book was released on 1970 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problem of designing three-dimensional (nonaxisymmetric) supersonic nozzles which produce the maximum axial thrust for a prescribed upstream flow field, mass flow rate, exit lip shape and position, and ambient pressure was formulated and numerically solved. The formulation was written to consider a three-dimensional, supersonic, isoenergetic, homentropic flow of a perfect gas. The axial thrust and mass flow rate were written as integrals over a control surface which was constrained to pass through the exit lip of the nozzle. The functional to be maximized was formed by summing the integral equation for the axial thrust and the integral equation for the mass flow rate times a Lagrange multiplier. The fixed length and fixed ambient pressure constraints were imposed by substitution into the variational problem. The numerical solution technique was programmed for the CDC 6500 computer. The results confirm that the three-dimensional optimal nozzles designed using this technique are significantly better than three-dimensional nozzles that have identical initial conditions and have comparable overall dimensions. Furthermore, the results show that two-dimensional or axisymmetric methods are not adequate for designing three-dimensional optimum nozzles. (Author).

Download or read book 34th Aerospace Sciences Meeting Exhibit written by and published by . This book was released on 1996 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Government Reports Announcements written by and published by . This book was released on 1972-04 with total page 1542 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book An Inventory of Energy Research written by Oak Ridge National Laboratory and published by . This book was released on 1972 with total page 1136 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book An Inventory of Energy Research Prepared for the Task Force on Energy of the Subcommittee on Science Research and Development by Oak Ridge National Laboratory with the Support of the National Science Foundation written by United States. Congress. House. Science and Astronautics and published by . This book was released on 1972 with total page 1124 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Maximum Thrust Nozzles for Rotational Or Nonequilibrium Simple Dissociating Gas Flows Including Boundary Layer Effects written by M. Peter Scofield and published by . This book was released on 1969 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: A formulation, numerical solution technique and computer program implementing the technique are presented for the design of maximum thrust nozzles for rotational or nonequilibrium simple dissociating gas flows including boundary layer effects. The formulation is based on the usual assumptions applicable to rotational and nonequilibrium simple dissociating gas flows and on the assumption that the boundary layer is thin. The thrust is written as the integral of the stress tensor acting along the supersonic nozzle wall on which a general isoperimetric design constraint is also applied. The thrust expression is maximized by application of the calculus of variations. The resulting set of design equations are hyperbolic partial differential equations valid in the region of interest and algebraic equations specifying the boundary conditions for the Lagrange multipliers of the extremal problem. The numerical solution technique presented is based on a simplified relaxation technique which does not require numerical differentiation. It is felt that this new solution technique will encourage the use of the general design formulation. The results of a brief study to determine the magnitude of the performance increases that can be expected by considering more accurate flow chemistry models are also presented. The results indicate that significant improvements may be possible. (Author).

Download or read book Maximum Thrust Nozzles for Rotational Or Nonequilibrium Simple Dissociating Gas Flows Including Boundary Layer Effects written by M. Peter Scofield and published by . This book was released on 1969 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: A formulation, numerical solution technique and computer program implementing the technique are presented for the design of maximum thrust nozzles for rotational or nonequilibrium simple dissociating gas flows including boundary layer effects. The formulation is based on the usual assumptions applicable to rotational and nonequilibrium simple dissociating gas flows and on the assumption that the boundary layer is thin. The thrust is written as the integral of the stress tensor acting along the supersonic nozzle wall on which a general isoperimetric design constraint is also applied. The thrust expression is maximized by application of the calculus of variations. The resulting set of design equations are hyperbolic partial differential equations valid in the region of interest and algebraic equations specifying the boundary conditions for the Lagrange multipliers of the extremal problem. The numerical solution technique presented is based on a simplified relaxation technique which does not require numerical differentiation. The results of a brief study to determine the magnitude of the performance increases that can be expected by considering more accurate flow chemistry models are also presented. (Author).

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).

Download or read book Aeronautical Engineering written by and published by . This book was released on 1993 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt: A selection of annotated references to unclassified reports and journal articles that were introduced into the NASA scientific and technical information system and announced in Scientific and technical aerospace reports (STAR) and International aerospace abstracts (IAA)

Download or read book Industrial and Environmental Applications of Fluid Mechanics written by and published by . This book was released on 1995 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Government Reports Index written by and published by . This book was released on 1972 with total page 916 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book NASA ASEE Summer Faculty Fellowship Program written by and published by . This book was released on 1993 with total page 666 pages. Available in PDF, EPUB and Kindle. Book excerpt: