Changes between Version 22 and Version 23 of u/johannjc/scratchpad5


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Timestamp:
10/08/15 10:41:51 (9 years ago)
Author:
Jonathan
Comment:

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  • u/johannjc/scratchpad5

    v22 v23  
    44
    55== Basic Equations ==
    6 The anisotropic conduction equation looks like
     6
     7The anisotropic conduction equation is
    78
    89$\rho c_v\frac{\partial T}{\partial t} = \nabla \cdot \left [ n \hat{b} \left ( \chi_\parallel - \chi_\perp \right ) \left ( \hat{b} \cdot \nabla T \right ) + n \chi_\perp \nabla T \right ]$
     
    142143
    143144
     145=== Effective diffusion coeffiient ==
     146
     147The effecitve diffusion coefficient is $\frac{n \chi}{\rho c_v}$
     148which determines the diffusion time scale etc...
    144149
    145150=== Isotropic Case ===