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Simple thrust formula for an MPD thruster with applied-magnetic field from magnetic stress tensor

Simple thrust formula for an MPD thruster with applied-magnetic field from magnetic stress tensor
Simple thrust formula for an MPD thruster with applied-magnetic field from magnetic stress tensor
It has been previously shown that the application of an axial magnetic field to an MPD thruster increases the thrust and focuses the plasma jet. The goal of this paper is to obtain a simple and ready-to-use theory to predict the thrust generated by an applied-field MPD. To derive a simple thrust formula some assumptions have been made: the applied field is assumed to be purely axial inside the thruster and the total current, plasma temperature, mass flow rate and axial velocity at the exit section of anode to be not sensibly influenced by the application of the magnetic field. Using the magnetic stress tensor the forces acting on the plasma inside the thruster can be derived. Assuming that the detachment from the magnetic nozzle outside the MPD happens when the charged particle motions violate the adiabatic condition the thrust expression can be finally derived. Comparison with experimental data confirms these hypotheses and gives good agreement with theory.
mpd, magneto plasma dynamic thruster, applied magnetic field, electric propulsion
American Institute of Aeronautics and Astronautics
Coletti, M.
f99567c2-8fab-42dd-9e25-c3f69495667f
Coletti, M.
f99567c2-8fab-42dd-9e25-c3f69495667f

Coletti, M. (2007) Simple thrust formula for an MPD thruster with applied-magnetic field from magnetic stress tensor. In Proceedings of the 43rd AIAA/ASME/SAE/ASEE Joint Propulsion Conference & Exhibit. American Institute of Aeronautics and Astronautics. 11 pp .

Record type: Conference or Workshop Item (Paper)

Abstract

It has been previously shown that the application of an axial magnetic field to an MPD thruster increases the thrust and focuses the plasma jet. The goal of this paper is to obtain a simple and ready-to-use theory to predict the thrust generated by an applied-field MPD. To derive a simple thrust formula some assumptions have been made: the applied field is assumed to be purely axial inside the thruster and the total current, plasma temperature, mass flow rate and axial velocity at the exit section of anode to be not sensibly influenced by the application of the magnetic field. Using the magnetic stress tensor the forces acting on the plasma inside the thruster can be derived. Assuming that the detachment from the magnetic nozzle outside the MPD happens when the charged particle motions violate the adiabatic condition the thrust expression can be finally derived. Comparison with experimental data confirms these hypotheses and gives good agreement with theory.

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More information

Submitted date: June 2007
Published date: 10 July 2007
Additional Information: AIAA-2007-5284
Venue - Dates: 43rd AIAA/ASME/SAE/ASEE Joint Propulsion Conference & Exhibit, United States, 2007-07-08 - 2007-07-11
Keywords: mpd, magneto plasma dynamic thruster, applied magnetic field, electric propulsion
Organisations: Astronautics Group

Identifiers

Local EPrints ID: 47966
URI: https://eprints.soton.ac.uk/id/eprint/47966
PURE UUID: 6bf03d43-35cc-4ec4-a8e7-f631830b6994

Catalogue record

Date deposited: 15 Aug 2007
Last modified: 18 Jul 2019 12:19

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