Computation of Kolmogorov's Constant in Magnetohydrodynamic Turbulence

Verma, M. K ; Bhattacharjee, J. K (2007) Computation of Kolmogorov's Constant in Magnetohydrodynamic Turbulence EPL: Europhysics Letters, 31 (4). pp. 195-200. ISSN 0295-5075

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Official URL: http://doi.org/10.1209/0295-5075/31/4/002

Related URL: http://dx.doi.org/10.1209/0295-5075/31/4/002

Abstract

In this paper we calculate Kolmogorov's constant for magnetohydrodynamic turbulence to one loop order in perturbation theory using the direct interaction approximation technique of Kraichnan. We have computed the constants for various Eu(k)/Eb(k) , i.e., fluid to magnetic energy ratios when the normalized cross helicity is zero. We find that K increases from 1.47 to 4.12 as we go from fully fluid case (Eb=0) to a situation when , then it decreases to 3.55 in a fully magnetic limit (Eu=0) . When Eu/Eb=1 , we find that K=3.43 .

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