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private:writeups:hallthrusters [2020/08/06 15:24]
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 ====== Instabilities ====== ====== Instabilities ======
  
-Several common low-frequency instabilities in HETs+Several common low-frequency instabilities in HETs.   
 + 
 +Four main instabilities (plus a few lesser observed ones) 
 +  - Breathing mode (m=0 ionization instability) 
 +  - Spoke mode (m>1 ionization instability) 
 +  - Axial transit time oscillations (due to high electron resistivty) 
 +  - Azimuthal $E \times B$ electron drift instabilities (Related to strong $\nabla_z B_r$ gradients) 
 + 
 +Impact HETs by
  
   * these oscillations can indeed lead to violent conditions that could potentially damage the thruster discharge supply   * these oscillations can indeed lead to violent conditions that could potentially damage the thruster discharge supply
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   * Maybe another way to think of this is an azimuthally rotating ionization region with an azimuthal structure $exp \left( i(m\theta - \omega t) \right) $ where the mode number, $m$, is an integer greater than 0.     * Maybe another way to think of this is an azimuthally rotating ionization region with an azimuthal structure $exp \left( i(m\theta - \omega t) \right) $ where the mode number, $m$, is an integer greater than 0.  
  
-==== 3. Azimuthal drift instability related to axial gradients in $\nabla_z B_r$ ($E \times B$ electron drift instability) ====+==== 3. Azimuthal $E \times B$ drift instability related to axial gradients in $\nabla_z B_r$  ====
  
  
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   * due to a too large electron resistivity   * due to a too large electron resistivity
  
 +[Me]
 +  * The dependence on large electron resistivity to me is counter intuitive.  I'm used to resistivity damping oscillations, not exciting them.  
  
 ==== 5. Poorly understood and unnamed instability ... ==== ==== 5. Poorly understood and unnamed instability ... ====
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 ====== Magnetic field design ======= ====== Magnetic field design =======
  
-  * [Hofer2014]   While a complete understanding of electron dynamics is currently unavailable, it is known that the electron dynamics can be influenced by controlling the shape and strength of the magnetic field. At least in this sense, it is fair to say that the magnetic field is the most important aspect+[Hofer2014]    
 +  * While a complete understanding of electron dynamics is currently unavailable, it is known that the electron dynamics can be influenced by controlling the shape and strength of the magnetic field. At least in this sense, it is fair to say that the magnetic field is the most important aspect
 of Hall thruster design. of Hall thruster design.
  
 +[Bouef2017]  
 +  * The radial electric field (location and magnitude) is directly related to 
 +    - Electron transport 
 +    - electric field distribution 
 +    - ionization 
 +    - ion beam divergence through the potential distribution (I don't get this) 
 +    - Wall erosion by ions
 ====== Open issues related to HETs ====== ====== Open issues related to HETs ======
 (Need citations...) (Need citations...)
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   * Discharge current measurements - Measurement of total current, I_elec + I_ion.  Also used to study instabilities (as instabilities causes oscillations in conductivity).     * Discharge current measurements - Measurement of total current, I_elec + I_ion.  Also used to study instabilities (as instabilities causes oscillations in conductivity).  
   * Highspeed videos of exhaust.  Image is on-axis.  - Used to study spoke instabilities.     * Highspeed videos of exhaust.  Image is on-axis.  - Used to study spoke instabilities.  
 +
 +
 +====== Ionization region ======
 +
 +==== Length of ionization region ====
 +
 +[Boeuf2017] 
 +  * TODO
 +
 +
 ====== Questions ====== ====== Questions ======
   * Why is there no ion saturation limit to Hall thrusters?  Is this because of the "Double Layer" that forms as the effective cathode?  And if so, I don't really understand this...   * Why is there no ion saturation limit to Hall thrusters?  Is this because of the "Double Layer" that forms as the effective cathode?  And if so, I don't really understand this...
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   * [Boeuf2017] As the thruster size and power change, the current density does not change and stays on the order of 1000 A/m^2 in most Hall thrusters.  Why?   * [Boeuf2017] As the thruster size and power change, the current density does not change and stays on the order of 1000 A/m^2 in most Hall thrusters.  Why?
   * Would secondary electrons generated by electron striking channel walls be an alternative source of electrons?     * Would secondary electrons generated by electron striking channel walls be an alternative source of electrons?  
 +  * There's something to the equipotential argument in E and B that I'm not quite following.  
private/writeups/hallthrusters.1596727455.txt.gz · Last modified: 2020/08/06 15:24 by admin