论文标题
旋转液体的三维相干涡流中的α效应
Alpha-effect in three-dimensional coherent vortex of conducting rotating liquid
论文作者
论文摘要
我们研究了旋转流体中三维大规模涡流的背景下的螺旋湍流脉动的单点统计。假设螺旋流是由统计上轴向对称的随机力与损坏的镜子对称性产生的，我们可以分析计算速度涡度均值平均值，包括其大小和各向异性。对于电导液，我们检查了系统中的$α$效应。 $α$ -MATRIX的发现元素在很大程度上取决于Rossby $ \ Mathrm {Ro} $和磁性Prandtl $ \ Mathrm {pr} _ {\ Mathrm {m Mathrm {m}} $数字在考虑区域中$ \ mathrm {pr} _ {\ mathrm {m}}} \ sillsim 1 $。当$α$效应导致大规模磁场不稳定时，我们就建立了数字标准
We study one-point statistics of spiral turbulent pulsations on the background of three-dimensional large-scale vortex in a rotating fluid. Assuming that the helical flow is created by a statistically axially symmetric random force with broken mirror symmetry, we analytically calculate velocity-vorticity mean including its magnitude and the anisotropy. For electrically conducting liquid, we examine the $α$-effect in the system. The found elements of $α$-matrix strongly depend on relation between Rossby $\mathrm{Ro}$ and magnetic Prandtl $\mathrm{Pr}_{\mathrm{m}}$ numbers in considered region $\mathrm{Ro}\lesssim 1$, $\mathrm{Pr}_{\mathrm{m}} \lesssim 1$. We establish criterion for the numbers when the $α$-effect leads to instability of large-scale magnetic field
