Lie symmetries for analyzing interaction of a characteristic shock with a singular surface in a non‐ideal reacting gas with dust particles. (23rd October 2020)

• Record Type: Journal Article
• Authors: Shah, Sarswati; Singh, Randheer
• Is Part Of: Mathematical methods in the applied sciences. Volume 44:Number 5(2021)
• Page Start: 3804
• Page End: 3818
• Publication Date: 2020-10-23
• Subjects: characteristic waves -- dusty real reacting gas -- interaction of waves -- singular surface -- symmetry analysis; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.6983
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : Using the invariance group properties of the system describing one‐dimensional unsteady flow of a non‐ideal dusty reacting gas, the evolutions of characteristic shock and singular surface are investigated. The effects of non‐idealness, reaction mechanism, and dusty gas parameters on the characteristic shock and singular surface are analyzed. Further, the amplitude of reflected wave and (or) transmitted wave along with bounce in the acceleration of shock, which generated from the interaction of a characteristic shock with a singular surface, are obtained.