Journal ArticleDOI
Similarity solution of the axisymmetric Burgers equation
TLDR
In this article, a singular perturbation analysis is used to determine the shape of a body which will comply with the requirements for a well-known similitude for the cylindrical form of Burgers' equation, and the far field shock profiles are presented.Abstract:
A singular perturbation analysis is utilized for determined the shape of a body which will comply with the requirements for a well‐known similitude for the cylindrical form of Burgers’ equation, and the far‐field shock profiles are presented.read more
Citations
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Asymptotic Solutions of Model Equations in Nonlinear Acoustics
TL;DR: In this article, matched asymptotic expansions are used to derive asymptic solutions to various problems in nonlinear acoustics, such as initial or boundary conditions of N-wave or harmonic wave form, with the exception of one region of space in which an irreducible nonlinear problem remains unsolved.
Journal ArticleDOI
Evolution and decay of spherical and cylindrical N waves
TL;DR: In this paper, the Burgers equation in spherical and cylindrical symmetries is studied numerically using pseudospectral and implicit finite difference methods, starting from discontinuous initial (N wave) conditions.
Journal ArticleDOI
Kummer function solutions of damped Burgers equations with time-dependent viscosity by exact linearization
TL;DR: In this article, a generalized Burgers equation is linearized to Kummer's equation and the large time behavior of solutions of the GBE is determined, some exact closed form solutions are also found.
Journal ArticleDOI
The wave system attached to a finite slender body in a supersonic relaxing gas stream
Y. L. Sinai,J. F. Clarke +1 more
Journal ArticleDOI
The wave system attached to a slender body in a supersonic relaxing gas stream. Basic results: the cone
J. F. Clarke,Y. L. Sinai +1 more
TL;DR: In this paper, the results of the linear theory for the flow of a supersonic relaxing gas past a slender body of revolution are analysed in regions where its predictions of wavelet position begin to break down.
References
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Journal ArticleDOI
Vibrational relaxation effects in weak shock waves in air and the structure of sonic bangs
Journal ArticleDOI
Nonlinear effects in steady supersonic dissipative gasdynamics. Part 2. Three-dimensional axisymmetric flow
T. H. Chong,Lawrence Sirovich +1 more
TL;DR: In this article, a system of Burgers-type equations is shown to govern the flow field, and the flow is divided into zones based on the presence or absence of nonlinearity and dissipation.
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