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[kinetics] fix TwoTempPlasma documentation #1200

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Mar 23, 2022
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[kinetics] fix TwoTempPlasma documentation #1200

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dbcba1e
[kinetics] fix TwoTempPlasma documentation
BangShiuh Feb 19, 2022
13dbbfb
[interface] fix documentation for TwoTempPlasmaRate
BangShiuh Feb 19, 2022
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4 changes: 3 additions & 1 deletion include/cantera/kinetics/TwoTempPlasmaRate.h
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Expand Up @@ -48,9 +48,11 @@ struct TwoTempPlasmaData : public ReactionData
* activation energy for electron is included.
*
* \f[
* k_f = A T_e^b \exp (-E_a/RT) \exp (-E_{a,e}/RT_e)
* k_f = A T_e^b \exp (-E_{a,g}/RT) \exp (E_{a,e} (T_e - T)/(R T T_e))
* \f]
*
* where \f$ T_e \f$ is the electron temperature, \f$ E_{a,g} \f$ is the activation
* energy for gas, and \f$ E_{a,e} \f$ is the activation energy for electron.
* Ref.: Kossyi, I. A., Kostinsky, A. Y., Matveyev, A. A., & Silakov, V. P. (1992).
* Kinetic scheme of the non-equilibrium discharge in nitrogen-oxygen mixtures.
* Plasma Sources Science and Technology, 1(3), 207.
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14 changes: 9 additions & 5 deletions interfaces/cython/cantera/reaction.pyx
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Expand Up @@ -283,11 +283,15 @@ cdef class TwoTempPlasmaRate(ArrheniusRateBase):

.. math::

k_f = A T_e^b \exp(-\tfrac{E_{a,g}}{RT}) \exp(-\tfrac{E_{a,e}}{RT_e})

where :math:`A` is the `pre_exponential_factor`, :math:`b` is the
`temperature_exponent`, :math:`E_{a,g}` is the `activation_energy`, and
:math:`E_{a,e}` is the `activation_electron_energy`.
k_f = A T_e^b \exp(-\tfrac{E_{a,g}}{RT}) \exp(\tfrac{E_{a,e}(T_e - T)}{R T T_e})

where :math:`A` is the
`pre_exponential_factor <ArrheniusTypeRate.pre_exponential_factor>`,
:math:`b` is the `temperature_exponent <ArrheniusTypeRate.temperature_exponent>`,
:math:`E_{a,g}` (``Ea_gas``) is the
`activation_energy <ArrheniusTypeRate.activation_energy>`, and
:math:`E_{a,e}` (``Ea_electron``) is the
`activation_electron_energy <ArrheniusTypeRate.activation_electron_energy>`.
"""
_reaction_rate_type = "two-temperature-plasma"

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