EI、Scopus 收录
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

  • Received Date: September 21, 2008
  • Revised Date: March 02, 2009
  • 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.
  • Related Articles

    [1]Song Chuanjing, Hou Shuang. NOETHER-TYPE ADIABATIC INVARIANTS FOR CONSTRAINED MECHANICS SYSTEMS ON TIME SCALES[J]. Chinese Journal of Theoretical and Applied Mechanics, 2024, 56(8): 2397-2407. DOI: 10.6052/0459-1879-24-061
    [2]Gao Tianyu, Yu Yongliang, Bao Lin. STUDY ON THE SCALING LAW OF FISH-LIKE BODY SELF-PROPULSION WITH CARANGIFORM UNDULATION[J]. Chinese Journal of Theoretical and Applied Mechanics, 2023, 55(4): 858-873. DOI: 10.6052/0459-1879-22-567
    [3]Zhang Zixuan, Dong Yidao, Huang Ziquan, Kong Lingfa, Liu Wei. A SCALE-INVARIANT HIGH-ORDER WCNS SCHEME[J]. Chinese Journal of Theoretical and Applied Mechanics, 2023, 55(1): 254-271. DOI: 10.6052/0459-1879-22-399
    [4]Lai Xiaoming Bian Baimin Yang Ling Yang Juan Li Zhenhua He Anzhi. ynamics model of statistical fractal structure of ideal gas under gravity[J]. Chinese Journal of Theoretical and Applied Mechanics, 2011, 43(2): 284-288. DOI: 10.6052/0459-1879-2011-2-lxxb2009-642
    [5]Ma Wei Fang Le Shao Liang. Scaling law of resolved-scale isotropic turbulence[J]. Chinese Journal of Theoretical and Applied Mechanics, 2011, 43(2): 267-276. DOI: 10.6052/0459-1879-2011-2-lxxb2010-079
    [6]Invariant tensor function representations of constitutive equations for the isotropic and rate independent materials[J]. Chinese Journal of Theoretical and Applied Mechanics, 2008, 40(5): 629-635. DOI: 10.6052/0459-1879-2008-5-2007-155
    [7]MICROSCOPIC ANALYSIS AND INVARIANT DESCRIPTION OF THE EFFECTIVE ELASTIC PROPERTIES OF DAMAGED SOLIDS ——A GENERAL THEORETIC MODEL ACCOUNTING FOR INTERACTION OF MICRO-DEFECTS[J]. Chinese Journal of Theoretical and Applied Mechanics, 1998, 30(5): 552-563. DOI: 10.6052/0459-1879-1998-5-1995-161
    [8]INVARIANCE OF INTERACTIVE-STRUCTURE BETWEEN CONVECTION AND DIFFUSION[J]. Chinese Journal of Theoretical and Applied Mechanics, 1992, 24(6): 661-670. DOI: 10.6052/0459-1879-1992-6-1995-789
    [9]INVARIANT MANIFOLD OF STATIONARY MOTION FOR CHAPLYGIN'S NONHOLONOMIC SYSTEMS[J]. Chinese Journal of Theoretical and Applied Mechanics, 1992, 24(5): 639-644. DOI: 10.6052/0459-1879-1992-5-1995-786
    [10]THE PROBLEM ABOUT NECESSARY AND SUFFICIENT CONDITION FOR THE METHOD OF WEIGHTED RESIDUALS AND THE SELECTION OF WEIGHTED FUNCTIONS[J]. Chinese Journal of Theoretical and Applied Mechanics, 1991, 23(3): 332-338. DOI: 10.6052/0459-1879-1991-3-1995-845

Catalog

    Article Metrics

    Article views (1843) PDF downloads (648) Cited by()
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return