Transport coefficients

Set

context $ n,u,Q,T,\mathrm{P},K $ … density, mean velocity, heat flux, pressure tensor, temperature, external force
definiendum $ \langle D,\kappa,p,\eta,\zeta \rangle $

These are matrices or numbers, and they might even depend on any other quantities.

postulate $ u = - D\ \frac{\nabla n}{n} $
postulate $ Q = - \kappa\ \nabla T $
range $ \Lambda_{ik} = \frac{1}{2}\left( \frac{\partial}{\partial x_k}u_i + \frac{\partial}{\partial x_i}u_k \right) $
postulate $ P = p\ I - 2\ \eta\ \Lambda - (\zeta+\frac{2}{3}\eta)\ \nabla u $
postulate $ u = \mu\ K $

Discussion

Parents

Context

Macroscopic observables from kinetic theory