Journal
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
Volume 118, Issue 31, Pages -Publisher
NATL ACAD SCIENCES
DOI: 10.1073/pnas.2022518118
Keywords
solar convection; Rossby number; rapid rotation; differential rotation
Categories
Funding
- NASA [80NSSC17K0008, 80NSSC20K0193]
- NSF [DMS2009319]
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The lack of giant convection cells near the Sun's outer surface has puzzled solar modelers for a long time. The study proposes an explanation, suggesting that rotation strongly influences internal dynamics and leads to suppressed convective velocities. It predicts a characteristic convection length scale of approximately 30 Mm and a dynamical Rossby number less than unity below the near-surface shear layer.
The observational absence of giant convection cells near the Sun's outer surface is a long-standing conundrum for solar modelers. We herein propose an explanation. Rotation strongly influences the internal dynamics, leading to suppressed convective velocities, enhanced thermal-transport efficiency, and (most significantly) relatively smaller dominant length scales. We specifically predict a characteristic convection length scale of roughly 30-Mm throughout much of the convection zone, implying weak flow amplitudes at 100- to 200-Mm giant cells scales, representative of the total envelope depth. Our reasoning is such that Coriolis forces primarily balance pressure gradients (geostrophy). Background vortex stretching balances baroclinic torques. Both together balance nonlinear advection. Turbulent fluxes convey the excess part of the solar luminosity that radiative diffusion cannot. We show that these four relations determine estimates for the dominant length scales and dynamical amplitudes strictly in terms of known physical quantities. We predict that the dynamical Rossby number for convection is less than unity below the near-surface shear layer, indicating rotational constraint.
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