Strong Converging Shock Waves in a Radiating Gas

DOI10.1002/zamm.19950751208zbMath0865.76035OpenAlexW1978194878MaRDI QIDQ5689874

V. D. Sharma, Ch. Radha

Publication date: 6 July 1997

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.19950751208

zbMATH Keywords

similarity solutionsconstraint conditiondensity stratificationgas absorption coefficientmethod of Lie group invariance

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Gas dynamics (general theory) (76N15) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (7)

On Radially Symmetric Solutions to Conservation Laws ⋮ The propagation of strong cylindrical shock wave in a rotating axisymmetric non‐ideal gas with radiation heat flux ⋮ Similarity solution for magnetogasdynamic spherical shock wave in a self-gravitating non-ideal radiating gas using Lie invariance method ⋮ Kinematics of shock waves in a radiating ideal gas containing dust particles ⋮ The influence of radiative heat transfer upon the collapse of a cylindrical shock wave ⋮ A parametric study of self-similar collapsing shock waves in radiating gas ⋮ Similarity analysis of strong converging spherical shock waves in radiating gas

Cites Work

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• Similarity methods for differential equations
• On the propagation of shock waves through regions of non-uniform area or flow
• On the problem of a shock wave arriving at the edge of a gas
• Strong Convergent Shock Waves Near the Center of Convergence:A Power Series Solution
• Self-Similar Solutions for Converging Shocks and Collapsing Cavities
• Similarity Solutions for Reactive Shock Hydrodynamics
• Self-similar piston problems with radiative heat transfer

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