Modeling Ekman and quasi-static magnetohydrodynamic turbulence using Pao's hypothesis

Anas, Mohammad ; Verma, Mahendra K. (2019) Modeling Ekman and quasi-static magnetohydrodynamic turbulence using Pao's hypothesis Physical Review Fluids, 4 (10). ISSN 2469-990X

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Official URL: http://doi.org/10.1103/PhysRevFluids.4.104611

Related URL: http://dx.doi.org/10.1103/PhysRevFluids.4.104611

Abstract

Two-dimensional (2D) turbulence with Ekman friction and quasi-static magnetohydrodynamic (QS MHD) turbulence are complex flows. In this paper, we present models for these flows by extending Pao's hypothesis [Phys. Fluids 8, 1063 (1965)] for hydrodynamic turbulence to them. For 2D Ekman turbulence, the energy spectrum predicted by the model is steeper than its hydrodynamic counterpart due to Ekman friction. The model predictions are consistent with earlier theoretical predictions and experimental and numerical results. Similarly, the model for QS MHD turbulence predicts a steeper energy spectrum due to Joule dissipation; the model predictions fit with earlier numerical results quite well.

Item Type:Article
Source:Copyright of this article belongs to American Physical Society.
ID Code:118895
Deposited On:03 Jun 2021 15:13
Last Modified:03 Jun 2021 15:13

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