Last edited by Voodoorn
Tuesday, July 28, 2020 | History

3 edition of Linear stability of self-similar flow. found in the catalog.

Linear stability of self-similar flow.

D. L. Book

# Linear stability of self-similar flow.

## by D. L. Book

Written in English

Subjects:
• Trapped-particle instabilities,
• Similarity (Physics),
• Isothermal transformation diagrams

• Edition Notes

The Physical Object ID Numbers Other titles Isothermal cylindrical implosion and expansion Statement D.L. Book and Ira B. Bernstein Series NRL memorandum report -- 3745 Contributions Bernstein, Ira B, Naval Research Laboratory (U.S.). Plasma Dynamics Branch Pagination 48 p. in various pagings : Number of Pages 48 Open Library OL14859214M

found: Book, D.L. Linear stability of self-similar flow, (a.e.) t.p. (Ira B. Bernstein) rep. doc. p. verso (Yale Univ., New Haven, Conn.). the flow speed, are again necessarily spheres. Keywords flows, similar, self, solutions, fully, nonlinear, curvature Disciplines Physical Sciences and Mathematics Publication Details McCoy, J. Alexander. (). Self-similar solutions of fully nonlinear curvature flows. Scuola Normale Superiore di Pisa, Annali, Classe di Scienze, 10 (5),

stability of some of the solutions of the system (9) and (10). The approach we will use is known generically as “linear stability analysis” and is applicable to many systems, but was pioneered by Rayleigh to study speciﬁcally what is now known as the “Rayleigh-Plateau” instability. The idea is to look for “wave-like” solutions of Author: Stephane Popinet, Arnaud Antkowiak. A Chebyshev spectral collocation method using a staggered grid for the stability of cylindrical flows Ming-Jiu Ni and Juan-Cheng Yang, The linear stability of Hunt-Rayleigh-Bénard flow, Physics of Fluids, 29, 6, Viscous and inviscid instabilities of non-parallel self-similar axisymmetric vortex cores, Journal of .

The Rayleigh–Taylor instability, or RT instability (after Lord Rayleigh and G. I. Taylor), is an instability of an interface between two fluids of different densities which occurs when the lighter fluid is pushing the heavier fluid. Examples include the behavior of water suspended above oil in the gravity of Earth, mushroom clouds like those from volcanic eruptions and atmospheric nuclear. The flow resulting from a strong explosion at the center of an ideal gas sphere, whose density drops with the distance r from the origin as r−ω, is assumed to approach asymptotically the self‐similar solutions by Sedov and Taylor. It is shown that the Sedov–Taylor (ST) solutions that exist only for ω≤5 and are probably the most familiar example for self‐similar solutions of the Cited by:

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### Linear stability of self-similar flow by D. L. Book Download PDF EPUB FB2

Get this from a library. Linear stability of self-similar flow. Isothermal cylindrical implosion and expansion. [D L Book; Ira B Bernstein; Naval Research Laboratory (U.S.). Plasma Dynamics Branch.]. Linear Stability of Self Similar Flow: 7. The Primakoff Blast Wave and its Generalizations 1.

BERNSTEIN Yale University New Haven, CT 00 AND D. BOOK Laboratory for Computational Linear stability of self-similar flow. book 00 March 3, ) DTIC SMAY ELECTE D NAVAL RESEARCH LABORATORY Washington, D.C. Approved for public releme; distribution unlimited. 24 Author: I B Bernstein, D L Book.

Linear stability of self-similar flow. 1: Isothermal cylindrical implosion and expansion Book, D. L.; Bernstein, I. Abstract. A soluble model of the development of the Rayleigh-Taylor instability in perturbations about a time-varying state of a compressible medium is presented.

Author: D L Book, Ira B Bernstein. The linear stability of a uniformly imploding shell, modeled as an ideal polytropic fluid, is investigated. Two types of unstable modes are found: incompressible irrotational perturbations localized at the outer surface, ascribable to Rayleigh-Taylor instability, and compressible modes, associated with convective instability.

KIDDER'S () result for the Rayleigh-Taylor modes is shown to. The linear stability analysis is performed on an unsteady mean flow given by the self-similar solutions of gas dynamics equations with nonlinear heat conduction. Compressibility effects are.

LINEAR STABILITY OF SELF-SIMILAR FLOW: 8. IMPLODING CYLINDRICAL AND SPHERICAL SHOCKS IN THE C-C.W APPROXIMATION I. Introduction One of the critical limitations to achieving high compression in a spherical implosion is the degree of symmetry that can be maintained.

This in turn has important implications for target fabrication techniques and. The well-known class of self-similar solutions for an ideal polytropic gas sphere of radius R(t) expanding into a vacuum with velocity u(r,t) = r R-dot/R is. For the entropy-stability and linearly stability of Ricci solitons, see for instance [4,6]; for the entropy-stability and F-stability of self-similar solutions to the harmonic map heat flow see Author: Yongbing Zhang.

Linear stability analysis (LSA) of a self-similar adverse pressure gradient (APG) turbulent boundary layer (TBL) is explored in order to identify coherent structures. An eddy viscosity model (EV) is implemented via the Boussinesq hypothesis [8] to model the nonlinear coherent-turbulent : M.

Eisfelder, J. Müller, A. Sekimoto, A. Buchner, V. Kitsios, C. Atkinson, K. Oberleithner. Large classes of self-similar (isospectral) flows can be viewed as continuous analogues of certain matrix eigenvalue algorithms. In particular there exist families of flows associated with the QR, LR, and Cholesky eigenvalue paper uses Lie theory to develop a general theory of self-similar flows which includes the QR, LR, and Cholesky flows as special by:   We show that the 3-dimensional supersonic gas flow past an infinite cone is nonlinear staple upon the perturbation of the obstacle.

The perturbed flow exists globally in space and tends to the self-similar flow downstream. There is a thin layer of concentration of vorticities and entropy variation. Our analysis is based on an approximation scheme using local self-similar solutions as building Cited by: In contrast to a viscous regularization of a system of n conservation laws, a Dafermos regularization admits many self-similar solutions of the form $$u=u(\frac{X}{T})$$.

In particular, it is known in many cases that Riemann solutions of a system of conservation laws have nearby self-similar smooth solutions of an associated Dafermos by: in the absence of surface tension.

Further self-similar two-fold symmetric solutions were found by Ham [30],and Horvay and Cahn[31] also in the absence of surface tension. This paper is organized as follows: in Section 2, we review the governing equations,linear.

Barenblatt's book, Scaling, self similarity and intermediate asymptotics, addresses the understanding of physical processes and the interpretation of calculations revealing these processes, two mental problems intertwined closely with the deeper more general issues raised by the recognition of by: We consider in the study a linear and weakly nonlinear stability analysis of a thin liquid film flowing down a rotating horizontal or inclined plane.

Using the momentum-integral method and considering self-similar velocity profiles we obtain a single partial differential equation in terms of free surface H (x, y, t).Cited by: 1. Advanced Transport Phenomena is ideal as a graduate textbook. It contains a detailed discussion of modern analytic methods for the solution of fluid mechanics and heat and mass transfer problems, focusing on approximations based on scaling and asymptotic methods, beginning with the derivation of basic equations and boundary conditions and concluding with linear stability s: 1.

The two-dimensional steady flow of incompressible micropolar nanofluid on the linear inclined shrinking/stretching surface has been considered in the presence of convective condition. The self-similar equations are solved numerically. The microrotation and the angle ξ effect on the flow implements when the material parameter vagaries.

It is Cited by: 1. Abstract. Thus one can conclude the following: the linear stability theory of the strictly two-dimensional Kolmogorov flow, i.e., constructed without taking into account external friction, is structurally unstable with respect to the inclusion of the latter and, conversely, the linear theory of the quasi-two-dimensional flow, i.e., constructed by taking into account external friction Author: Felix V.

Dolzhansky. This paper studies the linear stability of the unsteady boundary-layer flow and heat transfer over a moving wedge. Both mainstream flow outside the boundary layer and the wedge velocities are approximated by the power of the distance along the wedge wall. ANALYTICAL HEAT TRANSFER Mihir Sen Department of Aerospace and Mechanical Engineering University of Notre Dame Notre Dame, IN May 3.

Self-similar propagation of strong blast waves in the presence of radiation or energy release at the wave front. In Progress in the Mechanics of Deformable Media, collection of papers dedicated to the th anniversary of B.G.

Galerkin, Shapiro, G.S. (ed.), 35–44, (in Russian) Nauka, Moscow.The Numerical Solution of Linear Boundary Value Problems. Related Databases. The Conditioning of Linear Boundary Value Problems.

Calculation of the self-oscillations arising as a result of the loss of stability by the spiral flow of a viscous liquid in an annular by: This paper presents our recent work on investigating velocity slip boundary conditions’ effects on supersonic flat plate boundary layer flow stability.

The velocity-slip boundary conditions are adopted and the flow properties are obtained by solving boundary layer equations. Stability analysis of two such boundary layer flows is performed by using the Linear stability : Xin He, Kai Zhang, Chunpei Cai.