Changes between Version 8 and Version 9 of ThermalConduction

Timestamp:

08/17/16 12:52:56 (8 years ago)

Author:

ehansen

Comment:

—

ThermalConduction

@@ -24 +24 @@
 
 $\rho c_v \frac{\partial T}{\partial t} = \nabla \cdot \left [ \hat{b} \left ( \frac{\kappa_\parallel}{\lambda_\parallel+1} \left ( \hat{b} \cdot \nabla T^{\lambda_\parallel+1} \right )  - \frac{n^2 \kappa_\perp}{B^2 \left ( \lambda_\perp+1 \right )} \left ( \hat{b} \cdot \nabla T^{\lambda_\perp + 1} \right )  \right ) + \frac{n^2 \kappa_\perp}{B^2 \left ( \lambda_\perp +1 \right )} \nabla T^{\lambda_\perp+1} \right ]$
+
+Just FYI, some references put T, n, and B dependencies into kappa, and write equation like this
+
+$\rho c_v \frac{\partial T}{\partial t} = \nabla \cdot \left [ \hat{b} \left ( \frac{\kappa_\parallel}{\lambda_\parallel+1} \left ( \hat{b} \cdot \nabla T^{\lambda_\parallel+1} \right )  - \frac{\kappa_\perp}{\left ( \lambda_\perp+1 \right )} \left ( \hat{b} \cdot \nabla T^{\lambda_\perp + 1} \right )  \right ) + \frac{\kappa_\perp}{\left (\lambda_\perp +1 \right )} \nabla T^{\lambda_\perp+1} \right ]$
 
 == Einstein simplification ==