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- W2100056374 abstract "We examine the integral properties of freely decaying homogeneous magnetohydrodynamic (MHD) turbulence subject to an imposed magnetic field B 0 at low-magnetic Reynolds number. We confirm that, like conventional isotropic turbulence, the fully developed state possesses a Loitsyansky-like integral invariant, in this case I // = − ∫ r ⊥ 2 〈 u ⊥ · u ′ ⊥ 〉 d r , where 〈 u ( x ) · u ( x + rc )〉 = 〈 u · u ′〉 is the usual two-point velocity correlation and the subscript ⊥ indicates components perpendicular to the imposed field. The conservation of I // for fully developed turbulence places a fundamental restriction on the way in which the integral scales can develop, i.e. it implies u ⊥ 2 ℓ ⊥ 4 ℓ // ≈ constant where u ⊥ , ℓ ⊥ and ℓ // are integral scales. This constraint can be used to estimate the evolution of u ⊥ ( t ; B 0 ), ℓ ⊥ ( t ; B 0 ) and ℓ // ( t ; B 0 ), and these theoretical decay laws are shown to be in good agreement with numerical simulations." @default.
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- W2100056374 date "2010-03-26" @default.
- W2100056374 modified "2023-10-18" @default.
- W2100056374 title "On the decay of low-magnetic-Reynolds-number turbulence in an imposed magnetic field" @default.
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- W2100056374 doi "https://doi.org/10.1017/s0022112009994137" @default.
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