Work

Travelling Wave Solution of a Riemann Problem and Shock Structure in an Unsteady Flow of a Perfect Gas under Viscosity

Year: 2019
Type: article
Abstract: Travelling wave solution of one-dimensional unsteady flow of a perfect gas with the effect of viscosity under Riemann condition is investigated.The system of gas dynamic equations are reduced into a single ordinary differential equation for non-dimensional velocity and Riemann condition is transformed into boundary conditions.The exact solution is obtained for the gas velocity, pressure, temperature and change-in-entropy under the constant boundary conditions taking the origin at inflection point of the gas velocity profile.It is found that the travelling wave is a shock transition zone of the thickness of order 10^(-6) meter.The viscosity of the gas, Mach number, ratio of specific heats, and Riemann condition has significant effects on the shock structure.
Institution: University of Delhi
Language: English
Open Access status: bronze
OpenAlex ID: W2980294239
FWCI: 0.171
Cites: 42
Cited by: 5
Related to: 10