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Reynolds stress: Difference between revisions
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Starting from the incompressible momentum balance equation, neglecting the dissipative pressure tensor, in slab coordinates (think of ''x'' as radial, ''y'' as poloidal, and ''z'' as toroidal): | Starting from the incompressible momentum balance equation, neglecting the dissipative pressure tensor, in slab coordinates (think of ''x'' as radial, ''y'' as poloidal, and ''z'' as toroidal): | ||
<ref>R. Balescu, ''Aspects of Anomalous Transport in Plasmas'', Institute of Physics Pub., Bristol and Philadelphia, 2005, ISBN 9780750310307</ref> | <ref>R. Balescu, ''Aspects of Anomalous Transport in Plasmas'', Institute of Physics Pub., Bristol and Philadelphia, 2005, {{ISBN|9780750310307}}</ref> | ||
:<math>\frac{\partial u_y}{\partial t} + \nabla_x \left ( u_x u_y \right ) = -\frac{1}{\rho}\nabla_y P + \frac{1}{\rho} \left ( \vec{j} \times \vec{B} \right )_y</math> | :<math>\frac{\partial u_y}{\partial t} + \nabla_x \left ( u_x u_y \right ) = -\frac{1}{\rho}\nabla_y P + \frac{1}{\rho} \left ( \vec{j} \times \vec{B} \right )_y</math> | ||