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arXiv 2004.06713physics.flu-dynastro-ph.SRphysics.geo-phphysics.plasm-ph
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磁流体动力学和准静态磁流体动力学turbulence中的湍流减阻

Turbulent drag reduction in magnetohydrodynamic and quasi-static magnetohydrodynamic turbulence

Mahendra K. Verma, Shadab Alam, Soumyadeep Chatterjee

摘要:

在流体动力学湍流中,大尺度注入的动能级联到惯性范围,导致恒定的动能通量。相反,在磁流体动力学(MHD)湍流中,一部分动能被转移到磁能。因此,对于相同的动能注入率,MHD湍流中的动能通量与其流体动力学对应物相比减小。这导致非线性项($\la | ({\bf u}\cdot \nabla) {\bf u} | \ra$,其中${\bf u}$是速度场)和湍流阻力相对减弱,但MHD湍流中的速度场增强。我们使用流体动力学和MHD湍流的壳模型模拟来验证上述。准静态MHD湍流也表现出类似于MHD湍流的湍流阻力减小。

英文摘要:

In hydrodynamic turbulence, the kinetic energy injected at large scales cascades to the inertial range, leading to a constant kinetic energy flux. In contrast, in magnetohydrodynamic (MHD) turbulence, a fraction of kinetic energy is transferred to the magnetic energy. Consequently, for the same kinetic energy injection rate, the kinetic energy flux in MHD turbulence is reduced compared to its hydrodynamic counterpart. This leads to relative weakening of the nonlinear term ($\la | ({\bf u}\cdot \nabla) {\bf u} | \ra$, where ${\bf u}$ is the velocity field) and turbulent drag, but strengthening of the velocity field in MHD turbulence. We verify the above using shell model simulations of hydrodynamic and MHD turbulence. Quasi-static MHD turbulence too exhibits turbulent drag reduction similar to MHD turbulence.

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