Vibrational excitation for Argon-Nitrogen mixed gaseous thermal plasma

The main objective of the present work is to investigate the vibrational excitation for Argon-Nitrogen mixed gaseous thermal plasma using Direct Simulation Monte Carlo (DSMC) simulations. Here, the harmonic oscillator model is applied to the vibrational mode with the characteristic vibrational temperature $\theta_{v\thinspace }= $3371 \quad K corresponding to Nitrogen molecules, and vibrational excitation is integrated with the rotational excitation. It is assumed that there is only one vibrational mode associated with each diatomic Nitrogen molecule. The DSMC simulations are carried out for temperature dependent vibrational relaxation collision number $Z_{v} = (C_{1}/T^{?}$\textit{) exp (C}$_{2} T^{-1/3}) $with the constants $C_{1\thinspace }=$ 9.1 \quad and$_{\mathrm{\thinspace }}C_{2\thinspace }=$\textit{ 220, }and \quad for rotational relaxation collision number $Z_{r} =$\textit{ 7.5} associated with the Nitrogen molecule with viscosity temperature index $? =$\textit{ 0.75} (VHS model), $? =$\textit{ 1.0} (Maxwell model), and $? =$\textit{ 0.5} (HS model). An important finding is that the rotational mode \quad comes to the equilibrium value with the translational mode very quickly. However, the vibrational relaxation slows as the temperature decreases The DSMC simulation result ensures that the collisiontemperaturedependent vibration rate is consistent with the principle of detailed balance. The vibrational distribution function sampled in the DSMC simulations is in excellent agreement (error within 2{\%}) with the Boltzmann distribution.