TREATMENT OF SEDOV’S SOLUTION AS SERIES INTERMEDIATE ASYMPTOTICS IN FLOW FROM STRONG BLAST

Cite this article as:

Chernov I. A. TREATMENT OF SEDOV’S SOLUTION AS SERIES INTERMEDIATE ASYMPTOTICS IN FLOW FROM STRONG BLAST. Izvestiya VUZ. Applied Nonlinear Dynamics, 2010, vol. 18, iss. 4, pp. 33-43. DOI: https://doi.org/10.18500/0869-6632-2010-18-4-33-43

It is offered to consider Sedov’s self­similar solution which earlier was used for exposition only an initial stage of flow from strong blast, in a role of an intermediate asymptotics of matching flow and for any medial, but not so major moment of time. Thus the index of self­similarity should be increased. The upper border of this range is certain from a condition of a constancy of an entropy behind a shock wave.

Authors: 
Chernov I. A., Saratov State University, ul. Astrakhanskaya, 83, Saratov, 410012, Russia , chernov-ia@yandex.ru
Key words: 
Non­stationary flows of gas, shock wave, automodelling (self­similar) solution, intermediate asymptotic, blast.
DOI: 
10.18500/0869-6632-2010-18-4-33-43
Literature

1. Седов Л.И. Движение воздуха при сильном взрыве // ДАН СССР. 1946. Т. 52, No 1. С. 17.

2. Taylor G.I. The formation of a blast wave by a very intense explosion // Proc. Roy. Soc. 1950. A201, No 1065. Р. 159.

3. Седов Л.И. Методы подобия и размерностей в механике. Изд. 5-е. М.: Наука, 1965. 386 с.

4. Коробейников В.П., Мельникова Н.С., Рязанов Е.В. Теория точечного взрыва. М.: Гос. изд-во физ-мат. лит-ры., 1961. 332 с.

5. Коробейников В.П. Задачи теории точечного взрыва. М.: Наука, 1985. 400 с.

6. Овсянников Л.В. Групповой анализ дифференциальных уравнений. М.: Наука, 1978. 400 с.

7. Баренблатт Г.И. Подобие, автомодельность, промежуточная асимптотика. Ленинград: Гидрометеоиздат, 1978. 207 с.

8. Чернов И.А. Гомэнтропическая модель сильного точечного взрыва // Математика. Механика. Вып. 11. Саратов: Изд-во Сарат. ун-та. 2009. С. 144.

9. Бурнова Н.С. (Мельникова Н.С.) Исследование задачи о точечном взрыве. Автореф. дис... канд. физ.-мат. наук / МГУ. М., 1953. 24 с.

10. Зельдович Я.Б., Райзер Ю.П. Физика ударных волн и высокотемпературных гидродинамических явлений. М.: Наука, 1966. 686 с.

Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Status: 
одобрено к публикации
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BibTeX

@article{Чернов -IzvVUZ_AND-18-4-33,
author = {I. A. Chernov},
title = {TREATMENT OF SEDOV’S SOLUTION AS SERIES INTERMEDIATE ASYMPTOTICS IN FLOW FROM STRONG BLAST},
year = {2010},
journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
volume = {18},number = {4},
url = {https://old-andjournal.sgu.ru/en/articles/treatment-of-sedovs-solution-as-series-intermediate-asymptotics-in-flow-from-strong-blast},
address = {Саратов},
language = {russian},
doi = {10.18500/0869-6632-2010-18-4-33-43},pages = {33--43},issn = {0869-6632},
keywords = {Non­stationary flows of gas,shock wave,automodelling (self­similar) solution,intermediate asymptotic,blast.},
abstract = {It is offered to consider Sedov’s self­similar solution which earlier was used for exposition only an initial stage of flow from strong blast, in a role of an intermediate asymptotics of matching flow and for any medial, but not so major moment of time. Thus the index of self­similarity should be increased. The upper border of this range is certain from a condition of a constancy of an entropy behind a shock wave. }}