Download or read book Two dimensional Transonic Unsteady Flow with Shock waves written by Wiktor Eckhaus and published by . This book was released on 1959 with total page 79 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Unsteady Motion of Shock Waves in Two Dimensional Transonic Channel Flows written by T. C Adamson (Jr) and published by . This book was released on 1977 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two dimensional unsteady transonic channel flow with a shock wave is considered for the so-called slowly varying time regime. Solutions are studied for two specific cases within this general time regime, the cases corresponding to small and large amplitude shock wave motions. For the large amplitude case, conditions are considered under which the shock wave travels upstream of the throat, disappears, and then reforms at the throat. A unified solution which covers both cases is developed. Numerical results are presented. A short discussion of shock induced separation in unsteady flows is given. (Author).
Download or read book Unsteady Transonic Flow in Two Dimensional Channels written by T. C Adamson (Jr) and published by . This book was released on 1978 with total page 41 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unsteady transonic flow with a shock wave in a two-dimensional channel is considered. Solutions valid in a thin inner region enclosing the nozzle throat, where previous solutions showed singular behavior, are presented. A brief description of a computer movie is given; this movie shows solutions for unsteady transonic channel flow for two different cases in which the shock wave, as a result of pressure oscillations impressed downstream of the nozzle throat, moves to and upstream of the throat, disappears, and reforms at the throat. An analysis showing how results derived for the interaction between a shock wave and a turbulent boundary layer in steady flow may be used in the corresponding quasi-steady flow problem, is presented; a discussion of how these results may be used to deduce the order of the distance from the shock wave to the separation point and the time characteristic of the life of a shock induced separation bubble in unsteady flow is given. (Author).
Download or read book A Study of Unsteady Transonic Flows with Shock Waves in Two Dimensional Channels written by T. C Adamson (Jr) and published by . This book was released on 1972 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt: A two dimensional unsteady transonic flow of a perfect gas with constant specific heats is considered, with solutions found in the form of perturbations from a uniform, sonic, isentropic flow. Longitudinal viscous stress terms are included so that shock waves can be considered. The case where the characteristic time of a temporal flow disturbance is large compared to the time taken by a sonic disturbance to cross the transonic regime is considered. A similarity solution involving an arbitrary function of time is found and it is shown that this solution corresponds to unsteady channel flows with shock waves, for the case where the walls are in general not stationary. Solutions are presented for thick (shock fills transonic region) and thin (shock tends to a discontinuity) shock waves in unsteady flows, both for decelerating and accelerating channel flows. For the thin shock case, both numerical and asymptotic solutions are given. (Author).
Download or read book ANALYSIS OF UNSTEADY TRANSONIC CHANNEL FLOW WITH SHOCK WAVES written by GEORGE KEITH RICHEY and published by . This book was released on 1975 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inviscid unsteady transonic flow in a two-dimensional channel is analyzed using asymptotic techniques. The analysis includes the case where a shock wave is present in a channel having arbitrary wall shape, with artibrary small disturbances imposed at a given downstream location. Second-order solutions are not uniformly valid near the shock wave, since they do not satisfy the shock jump conditions. It is therefore necessary to obtain inner solutions which are matched asymptotically to those in the outer channel-flow region.
Download or read book Unsteady Transonic Flows in Two Dimensional Channels with Oscillating Boundaries written by T. C Adamson (Jr) and published by . This book was released on 1981 with total page 103 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unsteady transonic flow in two-dimensional duct with a shock wave is considered. The flow entering the duct is uniform and steady; unsteadiness is caused by any mixture of impressed oscillations in wall shape and back pressure. Asymptotic methods are employed to give solutions for flow properties and for position and velocity of the shock wave in several different problems, characterized by the relative orders of the nondimensional amplitude and frequency of the oscillations. Illustrative example flows are considered, with a numerical solutions used for complex wall shapes. (Author).
Download or read book UNSTEADY TRANSONIC FLOWS WITH SHOCK WAVES IN AN ASYMMETRIC CHANNEL written by JOHN SHIU-KAM CHAN and published by . This book was released on 1976 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two-dimensional inviscid, unsteady transonic flows with shock waves in asymmetric channels with arbitrary wall shapes are investigated, using the method of matched asymptotic expansions. With the exception of thin regions in the neighborhood of the channel throat and the neighborhood of the shock wave, solutions found using linearized governing equations are valid. In the regions enclosing the shock wave, an inner solution which satisfies the shock jump conditions and matches with the outer solutions, is presented. The shock shape is found as part of the solution, which is obtained numerically using the method of integral relations. A composite solution, uniformly valid throughout the channel, and the relation between the instantaneous shock wave position and back pressure far downstream are presented. (Author).
Download or read book A Nonlinear Theory for Predicting the Effects of Unsteady Laminar Turbulent Or Transitional Boundary Layers on the Attenuation of Shock Waves in a Shock Tube with Experimental Comparison written by Robert L. Trimpi and published by . This book was released on 1958 with total page 682 pages. Available in PDF, EPUB and Kindle. Book excerpt: The linearized attenuation theory of NACA Technical Note 3375 is modified in the following manner: (a) an unsteady compressible local skin-friction coefficient is employed rather than the equivalent steady-flow incompressible coefficient; (b) a nonlinear approach is used to permit application of the theory to large attenuations; and (c) transition effects are considered. Curves are presented for predicting attenuation for shock pressure ratios up to 20 and a range of shock-tube Reynolds numbers. Comparison of theory and experimental data for shock wave strengths between 1.5 and 10 over a wide range of Reynolds numbers shows good agreement with the nonlinear theory evaluated for a transition Reynolds nuniber of 2.5 million.
Download or read book Unsteady Transonic Aerodynamics written by David Nixon and published by . This book was released on 1989 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume complements Transonic aerodynamics (v.81 in the series) which is concerned with steady flow. This is the only book to address the subject of unsteady transonic aerodynamics, a field much different from steady aerodynamics. The most pronounced difference is the complex shock wave motions
Download or read book Unsteady Transonic Flow written by Marten T. Landahl and published by Courier Dover Publications. This book was released on 2019-04-17 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic monograph on unsteady transonic flow — the flow of air encountered at speeds at or near the speed of sound — is of continuing interest to students and professionals in aerodynamics, fluid dynamics, and other areas of applied mathematics. After a brief Introduction, Swedish physicist Mårten T. Landahl presents a chapter in which the two-dimensional solution is derived, succeeded by a discussion of its relation to the subsonic and supersonic solutions. Three chapters on low aspect ratio configurations follow, covering triangular wings and similar planforms with curved leading edges, rectangular wings, and cropped delta wings, and low aspect ratio wing-body combinations. The treatment concludes with a consideration of the experimental determination of air forces on oscillating wings at transonic speeds.
Download or read book Unsteady Transonic Flow Computations written by A. R. Seebass and published by . This book was released on 1977 with total page 35 pages. Available in PDF, EPUB and Kindle. Book excerpt: The effects of unsteady modes of motion on two-dimensional transonic flows are investigated. Numerical algorithms that treat shock waves as moving discontinuities are described for nonlinear and time-linearized perturbation flows. Results for transonic flow past an NACA 64A006 airfoil experiencing harmonic motions in one of several modes are presented. (Author).
Download or read book Transonic Shock and Multidimensional Flows written by Richard E. Meyer and published by Academic Press. This book was released on 2014-05-10 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics Research Center Symposium: Transonic, Shock, and Multidimensional Flows: Advances in Scientific Computing covers the lectures presented at a Symposium on Transonic, Shock, and Multidimensional Flows, held in Madison on May 13-15, 1981, under the auspices of the Mathematics Research Center of the University of Wisconsin. The book focuses on the advancements in the scientific computation of high-speed aerodynamic phenomena and related fluid motions. The selection first elaborates on computational fluid dynamics of airfoils and wings; shock-free configurations in two- and three-dimensional transonic flow; and steady-state solution of the Euler equations for transonic flow. Discussions focus on boundary conditions, convergence acceleration, indirect design of airfoils, and trailing edge and the boundary layer. The text then examines the calculation of transonic potential flow past three-dimensional configurations and remarks on the numerical solution of Tricomi-type equations. The manuscript ponders on the design and numerical analysis of vortex methods, shock calculations and the numerical solution of singular perturbation problems, tracking of interfaces for fluid flow, and transonic flows with viscous effects. Topics include numerical algorithm, difference approximation for scalar equations, boundary conditions, transonic flow in a tube, and governing equations. The selection is a dependable reference for researchers interested in transonic, shock, and multidimensional flows.
Download or read book Shock Wave Boundary Layer Interactions written by Holger Babinsky and published by Cambridge University Press. This book was released on 2011-09-12 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shock wave-boundary-layer interaction (SBLI) is a fundamental phenomenon in gas dynamics that is observed in many practical situations, ranging from transonic aircraft wings to hypersonic vehicles and engines. SBLIs have the potential to pose serious problems in a flowfield; hence they often prove to be a critical - or even design limiting - issue for many aerospace applications. This is the first book devoted solely to a comprehensive, state-of-the-art explanation of this phenomenon. It includes a description of the basic fluid mechanics of SBLIs plus contributions from leading international experts who share their insight into their physics and the impact they have in practical flow situations. This book is for practitioners and graduate students in aerodynamics who wish to familiarize themselves with all aspects of SBLI flows. It is a valuable resource for specialists because it compiles experimental, computational and theoretical knowledge in one place.
Download or read book Fundamentals of Transonic Flow written by T. H. Moulden and published by Wiley-Interscience. This book was released on 1984-10-03 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Good,No Highlights,No Markup,all pages are intact, Slight Shelfwear,may have the corners slightly dented, may have slight color changes/slightly damaged spine.
Download or read book Numerical Studies of 2 dimensional Flows written by and published by . This book was released on 1985 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: A formulation of the lambda scheme for the analysis of two dimensional inviscid, compressible, unsteady transonic flows is presented. The scheme uses generalized Riemann variables to determine the appropriate two point, one sided finite difference approximation for each derivative in the unsteady Euler equations. These finite differences are applied at the predictor and corrector levels with shock updating at each level. The weaker oblique shocks are captured, but strong near normal shocks are fitted into the flow using the Rankine-Hugoniot relations. This code is demonstrated with a numerical example of a duct flow problem with developing normal and oblique shock waves. The technique is implemented in a code which has been made efficient by streamlining to a minimal number of operations and by eliminating branch statements. The scheme is shown to provide an accurate analysis of the flow, including formation, motions, and interactions of shocks; the results obtained on a relatively coarse mesh are comparable to those obtained by other methods on much finer meshes.
Download or read book Unsteady Flow in a Supersonic Cascade with Two In passage Shocks written by W. H. Braun and published by . This book was released on 1985 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: A model for a supersonic blade row with two in-passage shock waves is developed. It accounts for three-dimensional effects in real flows by using an altered blade shape in a two-dimensional cascade. There is enough flexibility in the choice of blade shape to accommodate a desired entrance angle, exit angle, boundary-layer thickness and stage pressure ratio at a given entrance Mach number. The model divides the mean flow into regions of uniform or one-dimensional flow in which the solutions for the unsteady flow may be formed successively. The analysis makes use of previous solutions for unsteady flow in cascades and over an oscillation wedge. Six flow conditions are chosen in the range of parameters for which the two-shock model is valid for studies of flutter in torsion and bending. It is found, in keeping with previous results from a single-shock model, that in each case there is increasing instability with decreasing frequency.
Download or read book Computation of unsteady transonic flows through rotating and stationary cascades written by John I. Erdos and published by . This book was released on 1977 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt:
