The Effects of Robin Boundary Condition on Thermal Convection in a Rotating Spherical Shell
Abstract
Rayleigh-Bénard convection has been studied with many distinct setups along the last decades. In this article we focus on a rotating spherical shell filled with a constant viscosity newtonian fluid. The inner boundary of the shell is isothermal while the upper one is submitted to a Robin boundary condition, which linearly couples temperature and its radial derivative through the Biot number (Bi). This kind of boundary condition has several applications like modeling conducto-convective exchanges (Newton's law) or linearized radiative equilibria (Stefan-Boltzmann law). Tuning the Biot number allows us to switch from fixed temperature to fixed thermal flux boundary condition.
- Publication:
-
AGU Fall Meeting Abstracts
- Pub Date:
- December 2020
- Bibcode:
- 2020AGUFMNG011..07C
- Keywords:
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- 4415 Cascades;
- NONLINEAR GEOPHYSICS;
- 4568 Turbulence;
- diffusion;
- and mixing processes;
- OCEANOGRAPHY: PHYSICAL;
- 5405 Atmospheres;
- PLANETARY SCIENCES: SOLID SURFACE PLANETS;
- 5430 Interiors;
- PLANETARY SCIENCES: SOLID SURFACE PLANETS