Changes between Version 24 and Version 25 of u/bliu/pnfldiff


Ignore:
Timestamp:
08/15/18 14:41:51 (6 years ago)
Author:
Baowei Liu
Comment:

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  • u/bliu/pnfldiff

    v24 v25  
    2929$ I = -\nabla\cdot J$[[BR]]
    3030
    31 J is the flux of ionizing photons. Inside the front where the gas is nearly completely ionized the recombination rate[[BR]]
     31J is the flux of ionizing photons. Inside the front where the gas is nearly completely ionized.
     32
     33The recombination rate[[BR]]
    3234
    3335$ r=\alpha n_{e}^{2} $[[BR]]
    3436
    35 The thermal energy of the gas per unit mass [[BR]]
     37at T~10000K, $\alpha=2.6\times10^{-13} cm^{3}s^{-1}$[[BR]]
    3638
    37 $E=(3/2)\kappa T(n+n_{e})/\rho$
    38 
    39 $\frac{\partial E}{\partial t}=-(\bold{U}_{rel}\cdot\nabla)E-\frac{P}{\rho}(\nabla\cdot \bold{u})-\frac{\Lambda-\Gamma}{\rho}$[[BR]]
    4039
    4140Optical depth of the interior:[[BR]]
     
    4645
    4746$x=n_{e}/n$ is the ionization fraction[[BR]]
     47
     48
     49
     50The thermal energy of the gas per unit mass [[BR]]
     51
     52$E=(3/2)\kappa T(n+n_{e})/\rho$
     53
     54$\frac{\partial E}{\partial t}=-(\bold{U}_{rel}\cdot\nabla)E-\frac{P}{\rho}(\nabla\cdot \bold{u})-\frac{\Lambda-\Gamma}{\rho}$[[BR]]
    4855
    4956
     
    798610. [http://www.astronomy.ohio-state.edu/~pogge/Ast871/Notes/Ionized.pdf ionizaed]
    8087
    81 11. [https://en.wikipedia.org/wiki/Beer%E2%80%93Lambert_law Beer–Lambert law]
     88
    8289
    8390== related code ==