The Response of Matter to Spatially Distributed Transient Energy Addition: An Asymptotic Analysis”: Part 1, Inert Gases

ABSTRACT

The response of an inert gas to energy deposition is modeled using nondimensional Euler equations. Asymptotic methodologies are employed to identify the diversity of thermo-mechanical responses to spatially resolved, transient energy deposition into a gas with an emphasis on the induced gasdynamics. Physical conditions compatible with familiar linear and non-linear acoustics are quantified in terms of several nondimensional parameters. Significantly, conditions are identified that are associated with nearly isobaric or constant density responses and with induced O(1) Mach numbers. These results have important implications for related phenomena in reactive gases, including various kinds of instabilities, shocks and detonation evolution.

KEYWORDS:

• Thermo-mechanics
• Asymptotic Analysis
• Role of Non-dimensional parameters

Disclosure statement

No potential conflict of interest was reported by the author.

Notes

¹ The substantial derivatives describe changes in the logarithms of temperature, pressure and density (lnT´, lnp´,lnρ´) rather than T´, p´ and ρ specifically.