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  • 1
    Electronic Resource
    Electronic Resource
    Imploding shocks in a non-ideal medium (1996)
    Springer
    Journal of engineering mathematics 30 (1996), S. 683-692 
    Details
    ISSN: 1573-2703
    Keywords: self-similar flow ; converging shock ; Mie-Gruneisen ; similarity exponent
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Technology
    Notes: Abstract Self-similar solutions of the second kind for the unsteady one-dimensional flow behind converging spherical and cylindrical strong shocks in a non-ideal medium are studied. The equation of state of the medium is assumed to be in the form of the Mie-Gruneisen type. A simple numerical technique is developed to find the similarity exponent. Detailed studies are carried out for a different non-ideal medium such as a dusty gas, condensed matter and c,s medium. The solutions for an ideal gas are recovered as a particular case. A comparative study of the numerical and some approximate solutions is also made.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00042788
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Converging spherical and cylindrical shock waves (1993)
    Springer
    Journal of engineering mathematics 27 (1993), S. 411-417 
    Details
    ISSN: 1573-2703
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Technology
    Notes: Abstract The self-similar solutions for converging spherical and cylindrical strong shock waves in a non-ideal gas satisfying the equation of state of the Mie-Gruneisen type are investigated. The equations governing the flow, which are highly non-linear hyperbolic partial differential equations, are first reduced to a Poincaré-type ordinary differential equation with suitable approximation. Such an approximation helps in obtaining the self-similar solutions and the similarity exponent numerically by phase-plane analysis.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00128763
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    Paper (German National Licenses)
    Fulltext
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