3 edition of Local stability analysis for a planar shock wave found in the catalog.
Local stability analysis for a planar shock wave
M. D Salas
1984 by National Aeronautics and Space Administration, Scientific and Technical Information Branch in [Washington, D.C.?] .
Written in English
|Series||NASA technical paper -- 2387|
|Contributions||United States. National Aeronautics and Space Administration. Scientific and Technical Information Branch|
|The Physical Object|
Besides, the multifield analysis indicates that both the local explosion induced by shock wave focusing in concave cavity and the entrainment vortex generated by shock wave and jet flame in front of diaphragm are important mechanisms to initiate detonation by: 1. Full text of "Ben Dor G., Igra O., Elperin T. Eds. Handbook Of Shock Waves, Vol. 2" See other formats. It is also important to examine the stability of a converging shock wave. It has been widely recognized that a spherically converging shock wave is always unstable [ 14, 15 ]. We address a rigorous linear perturbation theory of spherical converging shock waves to show that a cut-off mode number exists, over which perturbations are diminished. a linear perturbation analysis of interface stability. They started their analysis with an unperturbed planar interface in local equilibrium moving at a constant velocity. Then they calculated the time dependence of the amplitude of an inﬁni-tesimal sinusoidal-shaped perturbation imposed on the inter-face.
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Get this from a library. Local stability analysis for a planar shock wave. [M D Salas; United States. National Aeronautics and Space Administration. Scientific and Technical Information Branch.]. Download or read Local stability analysis for a planar shock wave book by clicking button below to visit the book download website.
There are multiple format available for you to choose (Pdf, ePub, Doc). Matsumura and K. Nishihara Asymptotic stability of traveling waves with shock profile for non-convex viscous scalar conservation laws Mathematical analysis of phenomena in fluid and plasma dynamics (Japanese) (Kyoto, ).Cited by: Download PDF Shock Wave book full free.
Local stability analysis for a planar shock wave Waves in GasesShock Wave Propagation Through a GasInteraction of a Plane Shock Wave with Disturbances and Stability of Shock WavesReflection of a Shock Wave from a Convex BodyReflection of a Shock Wave from a Concave Body and Shock.
37 Stability analysis of the reflected-shock Guderley case will be a natural continuation of both this work and Ref. 37, where such analysis has been done for a converging shock Local stability analysis for a planar shock wave book. Stability. Instability of isolated planar shock waves Phys.
Flu. " This article is copyrighted as indicated in the article. Reuse of AIP content is subject to the terms at: http. The last two steps were realized for gas dynamical shock waves in [15, 17] (see also ), where the local theorem of existence and uniqueness of classical solutions to the quasilinear gas dynamics equations ahead and behind the curvilinear shock wave is proved (see Section 3).These classical solutions belong to a Sobolev space W 2 3 (or W 2 s with s ≥ 3), and the local (short-time) theorem.
E.R.D. Scott, A.N. Krot, in Treatise on Geochemistry, Nebular Shocks. Nebular shock waves are discontinuities between hot compressed gas moving faster than the local sound speed (= × 10 5 / T cm s − 1) and cooler, less dense, slowly moving gas (Cassen, ).Particles overtaken by shocks are suddenly enveloped in a blast of wind moving at several kilometers per second.
Abstract. In , A. Majda studied the linear stability of multidimensional shock waves for general systems of conservation analysis relied on two main assumptions: the shock wave was assumed to satisfy the so-called uniform stability condition (we shall recall it in the sequel of this paper) and the system was assumed to satisfy a block structure by: 1.
Transition to instability of planar viscous shock fronts: the reﬁned stability condition Sylvie Benzoni-Gavage1, Denis Serre2, and Kevin Zumbrun3 Abstract.
Classical inviscid stability analysis determines stability of shock waves only up to a region of neutral stability occupying an. () Asymptotic stability of planar rarefaction wave to 3D micropolar equations.
Journal of Mathematical Analysis and Applications() Stability of the planar rarefaction wave to two‐dimensional Navier‐Stokes‐Korteweg equations of compressible by: Although local existence of multidimensional planar shock waves has been established in the well-known papers [A.
Majda, The Existence of Multi-Dimensional Shock Fronts, Mem. Amer. Math. Soc. 43, Providence, RI, ; A. Majda, The Stability of Multi-Dimensional Shock Fronts, Mem.
Amer. Math. Soc. 41, Providence, RI, ; A. Majda and E Author: Jun Li, Ingo Witt, Huicheng Yin. Propagation and stability of strong shocks in gases.
Numerical analysis of wave patterns of shock propagation in a dusty gas along convergent-divergent nozzles. Dusty gas flow in a nozzle.
Head-on collision of a planar shock wave with a dusty gas layer. Previously, expressions governing the temporal evolution of linear perturbations to an isolated, planar, two-dimensional shock front in an inviscid fluid medium with an arbitrary equation of state were derived using a methodology based on Riemann invariants and Laplace transforms [J.
Bates, Phys. Rev. E 69, ()]. An overlooked yet immediate consequence of this theory is that the Cited by: 9. At that time, a new shock wave occurs, re ﬂecting the transition from free-ﬂow traﬃc (state (1)) to the capacity state (4). This wave has speed u0.
Shock wave analysis for non-linear intensity-density curves In the previous section, shock wave analysis was applied to determine tra ﬃc ﬂow conditionsFile Size: KB. In physics, a shock wave (also spelled shockwave), or shock, is a type of propagating disturbance that moves faster than the local speed of sound in the medium.
Like an ordinary wave, a shock wave carries energy and can propagate through a medium but is characterized by an abrupt, nearly discontinuous, change in pressure, temperature, and density of the medium. STABILITY AND DYNAMICS OF VISCOUS SHOCK WAVES 3 and only the velocity variables (u 1,u 2,u 3)experienceparabolicsmoothing, through viscosity.
Here, we are assuming a planar multidimensional ﬂow, i.e., one that depends only on a single space-direction implest, parallel case when u 2 = u 3 = B 2 = B 3 ≡ 0, the equations reduce to those.
Abstract. We compare inviscid stability conditions obtained by Lewicka for large-amplitude shock wave patterns with “slow eigenvalue”, or low-frequency, stability conditions obtained by Lin and Schecter through a vanishing viscosity analysis of the Dafermos regularization.
Under the structural condition that. For the steady shock states, a clear elastic-plastic transition is identified. The local von Mises shear strain analysis is used to characterize local deformation, and the Voronoi tessellation analysis, the corresponding local structures at various stages of shock, release, tension and spallation.
It is shown that Erpenbeck’s solution of the initial-value problem for small perturbations in the presence of shocks [J. Erpenbeck, Phys.
Fluids 5, (); 5, ()] leads to a straightforward and simple method for analysis of rippled shocks as ularly, the result for the ripple amplitude of a shock is the same as the result of Bates derived from an integral equation Cited by: 5. Vortex stability and breakdown - Survey and extension. Sidney Leibovich ; Sidney Leibovich.
Cornell University, Ithaca, New York The Linear Stability Analysis of the Lamb–Oseen Vortex in a Finite-Length Pipe. Airfoil pressure measurements during oblique shock-wave/vortex interaction in a Mach 3 by: modeling, analysis and numerical simulations in mathematical biology of traveling waves, turing instability and tumor dynamics.
february mei duanmudalian university of technologyuniversity of massachusetts amherst ph.d., university of massachusetts amherst directed by:. Reaction–diffusion systems are mathematical models which correspond to several physical phenomena.
The most common is the change in space and time of the concentration of one or more chemical substances: local chemical reactions in which the substances are transformed into each other, and diffusion which causes the substances to spread out over a surface in space. stability analysis of such systems are highly nontrivial.
Even for the planar case, only sufficient conditions for global asymptotic stability are available , , . In this paper, we present a complete analysis of the planar system of the form (1). In particular, necessary and sufficient conditions for the system to. The 24th International Symposium on Shock Waves (ISSW24) was held at the Beijing Friendship Hotel during July, in Beijing.
It was a great pleasure for the Local Organizing Committee to organize the ISSW in China for the first time, because forty-seven years have passed since the First Shock Tube Symposium was held in at Albuquerque.
Book chapter "Shock Wave Mitigation Using Liquids" by H. Jeon* and V. Eliasson in "Blast Mitigation Strategies in Marine Composite and Sandwich Structures", edited by S.
Gopalakrishnan and Y. Rajapakse, Springer Nature, DOI: /, ISBN:STABILITY OF SCALAR RADIATIVE SHOCK PROFILES 3 Remark Under assumption (A4), the radiative shock pro le is monotone, and, as shown later on, the spectral stability condition holds.
Let us stress that, within the analysis of the linearized problem and of the nonlinear stability, we only need (A4) to hold at the end states u.
Analytical linear theory for the interaction of a planar shock wave with a two- or three-dimensional random isotropic density field. Huete Ruiz de Lira C(1), Velikovich AL, Wouchuk JG. Author information: (1)Escuela Técnica Superior de Ingenieros Industriales, Universidad de Castilla La Mancha, Campus s/n, Ciudad Real, Spain.
Cited by: A new impact testing system with an integrated magnetorheological (MR) damper is proposed, and its dynamic characteristics are analyzed. The testing system consists of a velocity generator, impact mass, test mass, spring, and MR damper. In order to tune the dual shock-wave profile, a dynamic model was constructed, and the appropriate design parameters of the MR damper were then determined to Cited by: 2.
The University of Manchester hosted the 28th International Symposium on Shock Waves between 17 and 22 July The International Symposium on Shock Waves first took place in in Boston and has since become an internationally acclaimed series of meetings for the wider Shock Wave Community. The.
The Handbook of Shock Waves contains a comprehensive, structured coverage of research topics related to shock wave phenomena including shock waves in gases, liquids, solids, and space. Shock waves represent an extremely important physical phenomena which appears to be of special practical importance in three major fields: compressible flow.
In the same way, Theorem 1 can also be applied for the stability analysis of subtrees of complex networks. Application Example. In this section, we will give an example of edge tree-shaped wave network as an application to Theorem 1.
We will see that the stability analysis of the controlled system can be simply carried out by our by: 2. portant elementary flows, is effected by a rarefaction wave. This talk is concerned with the local structural stability of a multidimensional complete rarefaction wave for the 3D steady supersonic flow past a large bend.
More concretely, by taking the involved analysis on the re. Keywords: Fluid mechanics, thin airfoil, stability analysis, global modes, structural sensitivity. SUMMARY. In this paper we review the problem of the wake-ﬂow stability for a thin airfoil by using both a locally plane-wave analysis, based on a WKBJ approximation, and a global numerical stability analysis.
They USE shock waves for chemical kinetics studies, for materials studies, and smashing kidney stones; they STUDY the phenomena associated with flows involving shock waves, such as supersonic flow, explosions, detonations, volcanic eruptions, and, in this symposium, even such with-it topics as impact of Shoemaker-Levy on Jupiter and blast waves.
We construct stable manifolds for a class of singular evolution equations including the steady Boltzmann equation, establishing in the process exponential decay of associated kinetic shock and boundary layers to their limiting equilibrium states. Our analysis is from a classical dynamical systems point of view, but with a number of interesting modifications to accomodate ill-posedness with Cited by: 2.
The stability of a planar hydrodynamic shock is investigated. The fluid on each side of the shock is taken to be an ideal fluid satisfying the adiabatic equation of state with a.
Qualitative analysis to the traveling wave solutions of Kakutani-Kawahara equation and its approximate damped oscillatory solution.
Communications on Pure & Applied Analysis,12 (2): doi: /cpaaCited by: 1. proof of uniform stability of corresponding planar (rectilinear for the 2D case) shock waves. Uniform stability means the fulﬁlment of the uniform Kreiss–Lopatinski condition [16, 19, 21] by the linearized constant coeﬃcient problem associated with a planar (or rectilinear for the 2D case) shock : Yuri Trakhinin.
the shock wave and being terminated by it. This terminating shock wave is vanishingly weak at the edge of the boundary layer, so that the layer is not called upon to support any discontinuous jump of pressure. Away from the wall the shock becomes stronger.
At the point where the most. Full text Full text is available as a scanned copy of the original print version. Get a printable copy (PDF file) of the complete article (K), or click on a page image below to browse page by by: 1.Get this from a library!
28th International Symposium on Shock Waves. Vol 2. [Konstantinos Kontis;] -- Annotation The University of Manchester hosted the 28th International Symposium on Shock Waves between 17 and 22 July This volume contains some .an analysis of stability of the flux reconstruction formulation with applications to shock capturing a dissertation submitted to the department of aeronautics and astronautics and the committee on graduate studies shock wave-laminar boundary layer interactionFile Size: 4MB.