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_y}{\partial t} + \nabla_x \left ( u_x u_y \right ) = -\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>


Averaging over a [[Flux surface|magnetic surface]] (i.e., over ''y''), the right-hand side cancels:  
Averaging over a [[Flux surface|magnetic surface]] (i.e., over ''y''), the right-hand side cancels:  
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