Changes between Version 24 and Version 25 of u/bliu/pnfldiff
 Timestamp:
 08/15/18 14:41:51 (6 years ago)
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u/bliu/pnfldiff
v24 v25 29 29 $ I = \nabla\cdot J$[[BR]] 30 30 31 J is the flux of ionizing photons. Inside the front where the gas is nearly completely ionized the recombination rate[[BR]] 31 J is the flux of ionizing photons. Inside the front where the gas is nearly completely ionized. 32 33 The recombination rate[[BR]] 32 34 33 35 $ r=\alpha n_{e}^{2} $[[BR]] 34 36 35 The thermal energy of the gas per unit mass[[BR]]37 at T~10000K, $\alpha=2.6\times10^{13} cm^{3}s^{1}$[[BR]] 36 38 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]]40 39 41 40 Optical depth of the interior:[[BR]] … … 46 45 47 46 $x=n_{e}/n$ is the ionization fraction[[BR]] 47 48 49 50 The 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]] 48 55 49 56 … … 79 86 10. [http://www.astronomy.ohiostate.edu/~pogge/Ast871/Notes/Ionized.pdf ionizaed] 80 87 81 11. [https://en.wikipedia.org/wiki/Beer%E2%80%93Lambert_law Beerâ€“Lambert law] 88 82 89 83 90 == related code ==