Numerical Simulations of Nonequilibrium and Diffusive Effects in Spherical Shock Waves

  • V. V. Riabov

Introduction: Relaxation Effects in Expanding Gas Flows

Experimental studies of underexpanded N 2 jets [1], [2] discovered a delay of rotational temperature T R compared to the translational one T t . A drop in the gas density downstream leads to a decrease in the number of collisions and the T R departure from the equilibrium value [3], [4]. Another cause for the T R departure [5] could be explained in terms of quantum concepts. Because of the T t plunge, the adiabatic collision conditions are realized at a certain temperature, rotational-transfer probabilities begin to decrease [6], and the relaxation time τ R increases. Calculations based on the classical concept [7], [8], [9] do not show a tendency of increasing τ R with the decrease of T t under the adiabatic rotational energy exchange conditions. Computational results [4], [5], based on the quantum concept of energy exchange, correlate well with experimental data [2] of T R distribution along the jet axis.

In the present study, the flow from a spherical source is used as the approximation model of the flow in underexpanded jets [4] and spherical shock waves. Rotational relaxation effects are analyzed by using the continuum approach and classical models [7] at T t  > 100 K and quantum approach [5] at T t  < 100 K. In addition, diffusive kinetic effects in spherical flows of Ar-He mixtures are studied. These effects are important in studies of separation processes in jets and physics of explosion.


Shock Wave Pressure Ratio Continuum Approach Length Scale Parameter Spherical Source 
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© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • V. V. Riabov
    • 1
  1. 1.Department of Computer ScienceRivier CollegeNashuaUSA

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