以重整群分析耦合場紊流模式
Date Issued
2004-07-31
Date
2004-07-31
Author(s)
DOI
922212E002045
Abstract
In this study, we continue with a recursive
renormalization group (RG) analysis of
incompressible turbulence, aiming at investigating
various turbulent properties of three-dimensional
magneto- hydrodynamics (MHD). In particular,
we are able to locate the fixed point (i.e. the
invariant effective eddy viscosity) of the RG
transformation under the following conditions. (i)
The mean magnetic induction is relatively weak
compared to the mean flow velocity. (ii) The
Alfvén effect holds, that is, the fluctuating
velocity and magnetic induction are nearly
parallel and are approximately equal in
magnitude. It is found under these conditions that
re-normalization does not incur an increment of
the magnetic resistivity, while the coupling effect
tends to reduce the invariant effective eddy
viscosity. Both the velocity and magnetic energy
spectra are shown to follow the Kolmogorov
k-5/3 in the inertial subrange; this is consistent
with some laboratory measurements and
observations in astronomical physics.
Subjects
Renormalization group analysis
magnetohydrodynamic turbulence
Alfvén effect
effective eddy viscosity
magnetic resistivity.
Publisher
臺北市：國立臺灣大學應用力學研究所
Type
report
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