The converging shock wave from a spherical or cylindrical piston

DOI10.1017/S0022112082002845zbMath0499.76058OpenAlexW2098265567MaRDI QIDQ3965809

Milton Van Dyke, Anthony J. Guttmann

Publication date: 1982

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112082002845

zbMATH Keywords

self-similar solutionsPade approximantssimilarity exponentcollapsing axisymmetric shock wavescollapsing spherical or cylindrical pistoncomputer-extended perturbation seriesglobal solution approachGuderley's local expansionperfect gamma-law gas

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Padé approximation (41A21) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Hypersonic flows (76K05) Basic methods in fluid mechanics (76M99)

Related Items (22)

On Radially Symmetric Solutions to Conservation Laws ⋮ The Guderley problem revisited ⋮ Effect of chemical reaction on mixing transition and turbulent statistics of cylindrical Richtmyer–Meshkov instability ⋮ Similarity solutions for converging shocks in a relaxing gas ⋮ Similarity solutions for imploding shocks in a non-ideal magnetogasdynamics ⋮ The influence of magnetic field upon the collapse of a cylindrical shock wave ⋮ One-dimensional cylindrical shock waves in non-ideal gas under magnetic field ⋮ Converging strong shock waves in magnetogasdynamics under isothermal condition ⋮ An Eulerian Vlasov-Fokker-Planck algorithm for spherical implosion simulations of inertial confinement fusion capsules ⋮ Similarity solutions for imploding shocks in non-ideal magnetogasdynamics ⋮ On the strong spherical shock waves in a two-phase gas-particle medium ⋮ The propagation of weak shocks in non-uniform flows ⋮ Similarity method for the study of strong shock waves in magnetogasdynamics ⋮ Experimental study of Richtmyer-Meshkov instability induced by cylindrical shock waves ⋮ 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 ⋮ Shock dynamics of strong imploding cylindrical and spherical shock waves with non-ideal gas effects ⋮ IMPLODING CYLINDRICAL AND SPHERICAL SHOCK WAVES IN A NON-IDEAL MEDIUM ⋮ Expansion of high pressure gas into air - A more realistic blast wave model ⋮ Converging strong shock wave from a cylindrical piston in a van der Waals magnetogasdynamics with dust particles ⋮ Similarity solutions for imploding strong shock waves in a van der Waals gas ⋮ Similarity analysis of strong converging spherical shock waves in radiating gas

Cites Work

• A numerical method for a converging cylindrical shock
• Extended Stokes series: laminar flow through a loosely coiled pipe
• Analysis of spherically imploding shocks
• Computer extension and analytic continuation of Stokes’ expansion for gravity waves
• ON AUTO-MODELS IN THE SOLUTION OF CERTAIN PROBLEMS OF GAS DYNAMICS
• Imploding shocks and detonations
• Initial propagation of impulsively generated converging cylindrical and spherical shock waves

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