Viscous dissipation in two-dimensional compression of turbulence

Davidovits, Seth; Fisch, Nathaniel J.

doi:10.1063/1.5111961

Title: Viscous dissipation in two-dimensional compression of turbulence

Journal Article · Wed Aug 07 00:00:00 EDT 2019 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.5111961· OSTI ID:1574890

Davidovits, Seth ^[1];

^[1]

Princeton Univ., Princeton, NJ (United States). Dept. of Astrophysical Sciences

Nonradial hydrodynamic flow can be generated or amplified during plasma compression by various mechanisms, including the compression itself. In certain circumstances, the plasma may reach a viscous state; for example, in compression experiments seeking fusion, the fuel plasma may reach a viscous state late in the compression due in part to the rising fuel temperature. Here, we consider viscous dissipation of nonradial flow in the case of initially isotropic, three-dimensional (3D), turbulent flow fields compressed at constant velocity in two dimensions. Prior work in the case of 3D compressions has shown the possibility of effective viscous dissipation of nonradial flow under compression. We show that, theoretically, complete viscous dissipation of the nonradial flow should still occur in the 2D case when the plasma heating is adiabatic and the viscosity has the (strong) Braginskii temperature dependence (μ~T^5/2). Futhermore, in the general case, the amount of compression required is very large even for modest initial Reynolds numbers, with the compression reaching an intermediate state dominated by variations only in the noncompressed direction. We show that both the nonlinearity and boundary conditions can play important roles in setting the characteristics and ease of the viscous dissipation.

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Research Organization:: Princeton Univ., NJ (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: NA0003764; NA0001836; SC0014664

OSTI ID:: 1574890

Alternate ID(s):: OSTI ID: 1547667

Journal Information:: Physics of Plasmas, Vol. 26, Issue 8; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 2 works

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