Similarity solution for magnetogasdynamic spherical shock wave in a self-gravitating non-ideal radiating gas using Lie invariance method

DOI10.1007/s10665-023-10303-5OpenAlexW4388879617MaRDI QIDQ6151222

Vidit Kumar Vats, Danish Amin, Dheerendra B. Singh

Publication date: 9 February 2024

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10665-023-10303-5

zbMATH Keywords

fourth-order Runge-Kutta methodoptically thin limitthermal radiationazimuthal magnetic fieldadiabatic spherical shock wavepower-law/exponential-law shock path

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Finite difference methods applied to problems in fluid mechanics (76M20) Dimensional analysis and similarity applied to problems in fluid mechanics (76M55) Magnetohydrodynamics and electrohydrodynamics (76W05) Waves and radiation in optics and electromagnetic theory (78A40) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Collision of an interplanetary shock wave with the Earth's bow shock. Hydrodynamic parameters and magnetic field
• Similarity methods for differential equations
• Self-similar piston problem in non-ideal gas
• A self-similar flow in generalized Roche model with increasing energy
• Exact similarity solution for the propagation of spherical shock wave in a Van der Waals gas with azimuthal magnetic field, radiation heat flux, radiation pressure and radiation energy under gravitational field
• Structure and stability of a spherical shock wave in a Van der Waals gas
• A direct algorithm of one-dimensional optimal system for the group invariant solutions
• Strong Converging Shock Waves in a Radiating Gas