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    Electron Transport in

    Hall Thrusters

    Winston FriasGraduate Student

    University of Saskatchewan

    May 9 2012

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    Outline of the talk

    I. Hall ThrustersII. Electron Transport in Hall ThrustersIII. Future Work

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    I. HallThrusters

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    Introduction

    - Hall thrusters are electrostatic coaxial plasma accelerators.- Developed and successfully operated in USSR from 1960s

    (>240 missions), SPT100 last decade used in USA andEurope.

    - Main features:

    - High specific impulse,- High efficiency,- Low thrust.

    - Well suited for station keeping and orbit transfer.- Two main types:

    - Stationary plasma thruster (SPT),- Thruster with anode layer (TAL).

    - SPT most common and best studied configuration.

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    Hall Thrusters

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    Hall Thruster

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    Propellant Xe

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    Current Issues in Hall Thruster Research

    - Hall thruster applications are expanding. New requirementson

    reliability , performance, lifespan, efficiency, etc.

    - New and more sophisticated computer codes to simulateHall thrusters.

    Fluid, fully kinetic, hybrid or PIC codes.

    - Major physics problem has not been resolved: How toexplain and predictanomalously large electron current

    - Plasma fluctuations. Fundamental problem - plasmaturbulence induced electron transport- Near wall conductivity (enhanced collisions with the

    walls)

    - Problems common to other devices e.g. magnetron

    discharges, PIII. 77

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    II. ElectronTransport

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    Classical Electron Transport inAbsence of Magnetic Fields

    - Steady-state and large collision frequency assumed.

    - Fluid Equation

    - Solve for v assuming isothermal plasma to obtain

    - The mobility and diffusion coefficients are then given by:

    - Related via Einstein relation

    Mobility Diffusion

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    Classical Electron Transport inPresence of Magnetic Fields

    - Particle is magnetized if undergoes many gyrations beforecolliding. Its Hall parameter is high

    - Solve for electron velocity:

    LargeHallParameter

    Mobilityproportional to 1/B2

    1010

    electron

    collision

    E B drift(azimuthal)

    E

    B

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    Fluctuation Induced Transport- Instabilities give rise to transport.- Using continuity equation, perturbed density and velocity for

    ions and electrons can be obtained. The time average isgiven by

    - Current has two contributions:

    Fluctuating current. Time averagenot zero due to relative phasedifference, even when timeaverage of the individualperturbations is zero. Notpredicted by classical theory.

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    Characterized by effectiveHallParameter

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    Near Wall ConductivityElectron collisions with the wall lead to decorrelation of

    particle motion and enhanced transport

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    - Proposed byMorozov

    - Channel width