Abstract

In the study of thermal equilibrium of the electrons, it is very necessary to use the fluid model method. In this work, effect of the gas density, the electrons initial energy and the electric field on the electron thermal equilibrium is studied. It is found that the steady state can be achieved by increasing the gas density or the inter-electrode distance. If the gas density or the inter-electrode distance are not sufficient, steady state can be achieved by increasing the electric field. The initial energy of the electrons has great effect on the steady state if the electric field is weak and the difference between the initial energy and the electrons mean energy is great, however this problem can be solved by extending the time. It is necessary to make a best combination between the gas density, inter-electrode distance and the electric field to make a modeling by the fluid model method in the best cases of the steady state. A simple formula is given here to find the minimum time required to use the fluid model for E/N ≥ 500 Td.   Key words: Electrons thermal equilibrium, transport properties, fluid model.

Highlights

  • IntroductionFluid model is often used in the simulation of the dc electrical discharges, for example streamer discharges (Chao Li et al, 2007; Kulikovsky, 1995), dc glow discharges (Bogaerts, 1999; Baguer et al, 2003; Farouk et al, 2006)

  • Fluid model is often used in the simulation of the dc electrical discharges, for example streamer discharges (Chao Li et al, 2007; Kulikovsky, 1995), dc glow discharges (Bogaerts, 1999; Baguer et al, 2003; Farouk et al, 2006).The fluid model method cannot be used only if the steady state of the transport parameters is achieved

  • The initial energy of the electrons has great effect on the steady state if the electric field is weak and the difference between the initial energy and the electrons mean energy is great, this problem can be solved by extending the time

Read more

Summary

Introduction

Fluid model is often used in the simulation of the dc electrical discharges, for example streamer discharges (Chao Li et al, 2007; Kulikovsky, 1995), dc glow discharges (Bogaerts, 1999; Baguer et al, 2003; Farouk et al, 2006). The fluid model method cannot be used only if the steady state of the transport parameters is achieved. The equilibrium depends on different parameters such as the electric field strength, electron initial energy and the gas density, the effect of these parameters on the steady state of the transport parameters is well discussed in this work. If the time is not sufficient the steady state is not achieved and the fluid model method cannot be used. A simple formula to find minimum time to use the fluid model method at high electric field is given here

Methods
Results
Conclusion

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.