Critical Hall Parameter

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on

Jul 24, 2020, 6:28:07 PM

Created by

on

Jan 13, 2016, 8:36:33 AM

β_{c r} = 2 + \frac{2 \cdot K \cdot T_{e}^{2}}{E_{i} \cdot (T_{e} - T_{g})} \cdot \frac{1}{1 + \frac{3 \cdot K \cdot T_{e}}{2 \cdot E_{i}}}

$beta_(cr) = 2+(2*K* T_e ^2)/( E_i *( T_e - T_g ))*1/(1+(3*K* T_e )/(2* E_i )$

T_{e}

$T_e$

E_{i}

$E_i$

T_{g}

$T_g$

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c03173cf-b9d0-11e5-9770-bc764e2038f2

[Electrical Engineering: electrothermal instability] This equation is used to compute the critical hall parameter (fully ionized gas).
The critical Hall parameter βcr greatly varies according to the degree of ionization

Where:

$β_{c r}$ $beta_(cr)$ = Critical Hall parameter (dimensionless)
k = Boltzmann constant
$T_{e}$ $T_e$ = The electron temperature (K)
$E_{i}$ $E_i$ = The ionization energy (eV)
$T_{g}$ $T_g$ =The overall gas temperature (K)

Reference

Critical Hall Parameter. https://en.wikipedia.org/wiki/Electrothermal_instability#Critical_Hall_parameter [Retrieved January 13, 2016]

This equation, Critical Hall Parameter, references 1 page

Equations and Data Items

• Boltzmann constant (J/K) by MichaelBartmess

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