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Reynolds stress: Difference between revisions
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<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_x}{\partial t} + \nabla_y \left ( u_y u_x \right ) = -\nabla_x P | :<math>\frac{\partial u_x}{\partial t} + \nabla_y \left ( u_y u_x \right ) = -\nabla_x P + \frac{1}{\rho} \left ( \vec{j} \times \vec{B} \right )_x</math> | ||
Averaging over a [[Flux surface|magnetic surface]] (assuming it exists), the right-hand side cancels ([[MHD equilibrium]]): | Averaging over a [[Flux surface|magnetic surface]] (assuming it exists), the right-hand side cancels ([[MHD equilibrium]]): | ||