Spherical and cylindrical convergent shocks

The converging shock wave is a classical example of self-similarity of the second kind, in which the similarity exponent δ* is found solving a non-linear eigenvalue problem. Work on this problem has been mostly concerned with the precise calculation of δ* for various adiabatic exponents γ. Data abou...

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Publicado: 1996
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03926737_v18_n9_p1041_Bilbao
http://hdl.handle.net/20.500.12110/paper_03926737_v18_n9_p1041_Bilbao
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paper:paper_03926737_v18_n9_p1041_Bilbao2023-06-08T15:40:57Z Spherical and cylindrical convergent shocks The converging shock wave is a classical example of self-similarity of the second kind, in which the similarity exponent δ* is found solving a non-linear eigenvalue problem. Work on this problem has been mostly concerned with the precise calculation of δ* for various adiabatic exponents γ. Data about asymptotic Mach numbers, compression ratios, and other properties of the solutions are very scarce and not sufficiently accurate. Profiles of the physical variables are available only for γ = 7/5, 5/3 and are also inaccurate. To obtain the full solution with precision it is not enough to know the eigenvalue: additional independent requirements must also be met. In this paper we study in detail some properties of the solutions not yet discussed in the literature. We present new calculations of δ*, asymptotic Mach numbers and compression ratios for cylindrical and spherical shocks for many γ values; we present profiles of the physical variables, and find some striking properties of the solutions, previously unnoticed. 1996 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03926737_v18_n9_p1041_Bilbao http://hdl.handle.net/20.500.12110/paper_03926737_v18_n9_p1041_Bilbao
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description The converging shock wave is a classical example of self-similarity of the second kind, in which the similarity exponent δ* is found solving a non-linear eigenvalue problem. Work on this problem has been mostly concerned with the precise calculation of δ* for various adiabatic exponents γ. Data about asymptotic Mach numbers, compression ratios, and other properties of the solutions are very scarce and not sufficiently accurate. Profiles of the physical variables are available only for γ = 7/5, 5/3 and are also inaccurate. To obtain the full solution with precision it is not enough to know the eigenvalue: additional independent requirements must also be met. In this paper we study in detail some properties of the solutions not yet discussed in the literature. We present new calculations of δ*, asymptotic Mach numbers and compression ratios for cylindrical and spherical shocks for many γ values; we present profiles of the physical variables, and find some striking properties of the solutions, previously unnoticed.
title Spherical and cylindrical convergent shocks
spellingShingle Spherical and cylindrical convergent shocks
title_short Spherical and cylindrical convergent shocks
title_full Spherical and cylindrical convergent shocks
title_fullStr Spherical and cylindrical convergent shocks
title_full_unstemmed Spherical and cylindrical convergent shocks
title_sort spherical and cylindrical convergent shocks
publishDate 1996
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03926737_v18_n9_p1041_Bilbao
http://hdl.handle.net/20.500.12110/paper_03926737_v18_n9_p1041_Bilbao
_version_ 1768542843938275328

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