This short note presents concise semi-analytical expressions for electron temperature and potential in unsteady dilute cold plasma flows. The analysis is based on the detailed fluid model for electrons. Ionizations and normalized electron number density gradients are neglected, and the transport properties are assumed as local constants. Flow is unsteady and Maxwell's equations are adopted in the analysis. With these treatments, the partial differential equations for unsteady electron temperature and potential degenerate as ordinary differential equations. Along an electron streamline, two simple formulas for unsteady electron temperature and plasma potential are obtained. These formulas offer some insights, for example, the electron temperature and plasma potential distributions along an electron streamline include two exponential functions: one for spatial distance along a streamline and the other for time.
Skip Nav Destination
Article navigation
January 2018
Research Article|
January 31 2018
Simple relations for electron temperature and potential in dilute cold plasma flows
Kai Zhang
;
Kai Zhang
1
Department of Mechanical Engineering and Engineering Mechanics, Michigan Technological University
, Houghton, Michigan 49931, USA
Search for other works by this author on:
Chunpei Cai;
Chunpei Cai
a)
1
Department of Mechanical Engineering and Engineering Mechanics, Michigan Technological University
, Houghton, Michigan 49931, USA
Search for other works by this author on:
David L. Cooke
David L. Cooke
b)
2
Air Force Research Laboratory, Space Vehicle Directorate
, Albuquerque, New Mexico 87117, USA
Search for other works by this author on:
a)
Electronic mail: [email protected]
b)
Electronic mail: [email protected]
Phys. Plasmas 25, 012128 (2018)
Article history
Received:
October 26 2017
Accepted:
January 17 2018
Citation
Kai Zhang, Chunpei Cai, David L. Cooke; Simple relations for electron temperature and potential in dilute cold plasma flows. Phys. Plasmas 1 January 2018; 25 (1): 012128. https://doi.org/10.1063/1.5010768
Download citation file:
Pay-Per-View Access
$40.00
Sign In
You could not be signed in. Please check your credentials and make sure you have an active account and try again.
251
Views
Citing articles via
Progress toward fusion energy breakeven and gain as measured against the Lawson criterion
Samuel E. Wurzel, Scott C. Hsu
Announcement: Physics of Plasmas Early Career Collection 2024
Michael E. Mauel
A prospectus on laser-driven inertial fusion as an energy source
Debra A. Callahan
Related Content
A simple model for electron temperature in dilute plasma flows
Phys. Plasmas (October 2016)
Two relations in steady and dilute plasma flows
AIP Conf. Proc. (August 2019)
Ion kinetic effects and instabilities in the plasma flow in the magnetic mirror
Phys. Plasmas (November 2022)
Physics of the interaction of ultra intense laser pulses with cold collisional plasma using large scale kinetic simulations
Phys. Plasmas (July 2015)
Computation of two-dimensional electric field from the ion laser induced fluorescence measurements
Phys. Plasmas (September 2010)