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中文核心期刊
Xiaoming Lai, Baomin Bian, Ling Yang, Anzhi He. xistence condition of one-dimensional self-similar motion of ideal gas[J]. Chinese Journal of Theoretical and Applied Mechanics, 2010, 42(1): 122-126. DOI: 10.6052/0459-1879-2010-1-2008-576
Citation: Xiaoming Lai, Baomin Bian, Ling Yang, Anzhi He. xistence condition of one-dimensional self-similar motion of ideal gas[J]. Chinese Journal of Theoretical and Applied Mechanics, 2010, 42(1): 122-126. DOI: 10.6052/0459-1879-2010-1-2008-576

xistence condition of one-dimensional self-similar motion of ideal gas

  • The extension criterion of ideal gas self-similarity motion is not verycomplete. Hydrodynamic equations are made dimensionless, and then we obtainthe basic characteristic quantities solutions of ideal gas one-dimensionalself-similarity differential equations described by relative coordinate \xi and distance r. All of them have the same form Y ( \xi ,r ) =y ( \xi ) r^C_Y , which means that characteristic quantities forevery certain \xi are spatial scale-invariant according to r. It is provedthat the spatial scale-invariant is the existence condition ofone-dimensional ideal gas self-similarity motion.
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