Reynolds stress: Difference between revisions

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Starting from the incompressible momentum balance equation, neglecting the dissipative pressure tensor:
Starting from the incompressible momentum balance equation, neglecting the dissipative pressure tensor:
<ref>[http://books.google.es/books?id=Yaupom_qdKIC&lpg=PP1&ots=WmaABP3l92&dq=%22Balescu%22%20%22Aspects%20of%20anomalous%20transport%20in%20plasmas%22%20&lr=&pg=PP1 R. Balescu, Aspects of anomalous transport in plasmas, IOP Publishing (2005)]</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 - \frac{1}{\rho} \left ( \vec{j} \times \vec{B} \right )_x</math>
:<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>