publication . Article . Other literature type . Preprint . 2016

Scaling regimes in spherical shell rotating convection

Thomas Gastine; Johannes Wicht; Julien Aubert;
Open Access English
  • Published: 10 Dec 2016
  • Publisher: HAL CCSD
  • Country: France
Abstract
Rayleigh-B\'enard convection in rotating spherical shells can be considered as a simplified analogue of many astrophysical and geophysical fluid flows. Here, we use three-dimensional direct numerical simulations to study this physical process. We construct a dataset of more than 200 numerical models that cover a broad parameter range with Ekman numbers spanning $3\times 10^{-7} \leq E \leq 10^{-1}$, Rayleigh numbers within the range $10^3 < Ra < 2\times 10^{10}$ and a Prandtl number unity. We investigate the scaling behaviours of both local (length scales, boundary layers) and global (Nusselt and Reynolds numbers) properties across various physical regimes from ...
Subjects
arXiv: Physics::Fluid DynamicsPhysics::Atmospheric and Oceanic Physics
free text keywords: [PHYS.PHYS.PHYS-FLU-DYN]Physics [physics]/Physics [physics]/Fluid Dynamics [physics.flu-dyn], [PHYS.PHYS.PHYS-GEO-PH]Physics [physics]/Physics [physics]/Geophysics [physics.geo-ph], [PHYS.ASTR.EP]Physics [physics]/Astrophysics [astro-ph]/Earth and Planetary Astrophysics [astro-ph.EP], Physics - Fluid Dynamics, Astrophysics - Earth and Planetary Astrophysics, Astrophysics - Solar and Stellar Astrophysics, Physics - Geophysics, Mechanical Engineering, Mechanics of Materials, Condensed Matter Physics, Convection, Physics, Classical mechanics, Buoyancy, engineering.material, engineering, Boundary layer, Prandtl number, symbols.namesake, symbols, Reynolds number, Scaling, Nusselt number, Spherical shell
61 references, page 1 of 5

Ahlers, G., Grossmann, S. & Lohse, D. 2009 Heat transfer and large scale dynamics in turbulent Rayleigh-Benard convection. Reviews of Modern Physics 81, 503{537.

Amati, G., Koal, K., Massaioli, F., Sreenivasan, K. R. & Verzicco, R. 2005 Turbulent thermal convection at high Rayleigh numbers for a Boussinesq uid of constant Prandtl number. Physics of Fluids 17 (12), 121701. [OpenAIRE]

Aubert, J., Brito, D., Nataf, H.-C., Cardin, P. & Masson, J.-P. 2001 A systematic experimental study of rapidly rotating spherical convection in water and liquid gallium. Physics of the Earth and Planetary Interiors 128, 51{74. [OpenAIRE]

Aubert, J., Gillet, N. & Cardin, P. 2003 Quasigeostrophic models of convection in rotating spherical shells. Geochemistry, Geophysics, Geosystems 4, 1. [OpenAIRE]

Aurnou, J. M. 2007 Planetary core dynamics and convective heat transfer scaling. Geophysical and Astrophysical Fluid Dynamics 101, 327{345. [OpenAIRE]

Aurnou, J. M., Calkins, M. A., Cheng, J. S., Julien, K., King, E. M., Nieves, D., Soderlund, K. M. & Stellmach, S. 2015 Rotating convective turbulence in Earth and planetary cores. Physics of the Earth and Planetary Interiors 246, 52{71.

Barker, A. J., Dempsey, A. M. & Lithwick, Y. 2014 Theory and Simulations of Rotating Convection. ApJ 791, 13.

Bercovici, D., Schubert, G., Glatzmaier, G. A. & Zebib, A. 1989 Three-dimensional thermal convection in a spherical shell. Journal of Fluid Mechanics 206, 75{104.

Blasius, H. 1908 Grenzschichten in Flu&#x7f;ssigkeiten mit kleiner Reibung. Z. Math. Phys. 56, 1{37.

Boubnov, B. M. & Golitsyn, G. S. 1990 Temperature and velocity eld regimes of convective motions in a rotating plane uid layer. Journal of Fluid Mechanics 219, 215{239.

Breuer, M., Wessling, S., Schmalzl, J. & Hansen, U. 2004 E ect of inertia in RayleighBenard convection. Phys. Rev. E 69 (2), 026302.

Busse, F. H. 1970 Thermal instabilities in rapidly rotating systems. Journal of Fluid Mechanics 44, 441{460.

Busse, F. H. & Carrigan, C. R. 1974 Convection induced by centrifugal buoyancy. Journal of Fluid Mechanics 62, 579{592.

Busse, F. H. & Or, A. C. 1986 Convection in a rotating cylindrical annulus - Thermal Rossby waves. Journal of Fluid Mechanics 166, 173{187.

Cardin, P. & Olson, P. 1994 Chaotic thermal convection in a rapidly rotating spherical shell: consequences for ow in the outer core. Physics of the Earth and Planetary Interiors 82, 235{259. [OpenAIRE]

61 references, page 1 of 5
Abstract
Rayleigh-B\'enard convection in rotating spherical shells can be considered as a simplified analogue of many astrophysical and geophysical fluid flows. Here, we use three-dimensional direct numerical simulations to study this physical process. We construct a dataset of more than 200 numerical models that cover a broad parameter range with Ekman numbers spanning $3\times 10^{-7} \leq E \leq 10^{-1}$, Rayleigh numbers within the range $10^3 < Ra < 2\times 10^{10}$ and a Prandtl number unity. We investigate the scaling behaviours of both local (length scales, boundary layers) and global (Nusselt and Reynolds numbers) properties across various physical regimes from ...
Subjects
arXiv: Physics::Fluid DynamicsPhysics::Atmospheric and Oceanic Physics
free text keywords: [PHYS.PHYS.PHYS-FLU-DYN]Physics [physics]/Physics [physics]/Fluid Dynamics [physics.flu-dyn], [PHYS.PHYS.PHYS-GEO-PH]Physics [physics]/Physics [physics]/Geophysics [physics.geo-ph], [PHYS.ASTR.EP]Physics [physics]/Astrophysics [astro-ph]/Earth and Planetary Astrophysics [astro-ph.EP], Physics - Fluid Dynamics, Astrophysics - Earth and Planetary Astrophysics, Astrophysics - Solar and Stellar Astrophysics, Physics - Geophysics, Mechanical Engineering, Mechanics of Materials, Condensed Matter Physics, Convection, Physics, Classical mechanics, Buoyancy, engineering.material, engineering, Boundary layer, Prandtl number, symbols.namesake, symbols, Reynolds number, Scaling, Nusselt number, Spherical shell
61 references, page 1 of 5

Ahlers, G., Grossmann, S. & Lohse, D. 2009 Heat transfer and large scale dynamics in turbulent Rayleigh-Benard convection. Reviews of Modern Physics 81, 503{537.

Amati, G., Koal, K., Massaioli, F., Sreenivasan, K. R. & Verzicco, R. 2005 Turbulent thermal convection at high Rayleigh numbers for a Boussinesq uid of constant Prandtl number. Physics of Fluids 17 (12), 121701. [OpenAIRE]

Aubert, J., Brito, D., Nataf, H.-C., Cardin, P. & Masson, J.-P. 2001 A systematic experimental study of rapidly rotating spherical convection in water and liquid gallium. Physics of the Earth and Planetary Interiors 128, 51{74. [OpenAIRE]

Aubert, J., Gillet, N. & Cardin, P. 2003 Quasigeostrophic models of convection in rotating spherical shells. Geochemistry, Geophysics, Geosystems 4, 1. [OpenAIRE]

Aurnou, J. M. 2007 Planetary core dynamics and convective heat transfer scaling. Geophysical and Astrophysical Fluid Dynamics 101, 327{345. [OpenAIRE]

Aurnou, J. M., Calkins, M. A., Cheng, J. S., Julien, K., King, E. M., Nieves, D., Soderlund, K. M. & Stellmach, S. 2015 Rotating convective turbulence in Earth and planetary cores. Physics of the Earth and Planetary Interiors 246, 52{71.

Barker, A. J., Dempsey, A. M. & Lithwick, Y. 2014 Theory and Simulations of Rotating Convection. ApJ 791, 13.

Bercovici, D., Schubert, G., Glatzmaier, G. A. & Zebib, A. 1989 Three-dimensional thermal convection in a spherical shell. Journal of Fluid Mechanics 206, 75{104.

Blasius, H. 1908 Grenzschichten in Flu&#x7f;ssigkeiten mit kleiner Reibung. Z. Math. Phys. 56, 1{37.

Boubnov, B. M. & Golitsyn, G. S. 1990 Temperature and velocity eld regimes of convective motions in a rotating plane uid layer. Journal of Fluid Mechanics 219, 215{239.

Breuer, M., Wessling, S., Schmalzl, J. & Hansen, U. 2004 E ect of inertia in RayleighBenard convection. Phys. Rev. E 69 (2), 026302.

Busse, F. H. 1970 Thermal instabilities in rapidly rotating systems. Journal of Fluid Mechanics 44, 441{460.

Busse, F. H. & Carrigan, C. R. 1974 Convection induced by centrifugal buoyancy. Journal of Fluid Mechanics 62, 579{592.

Busse, F. H. & Or, A. C. 1986 Convection in a rotating cylindrical annulus - Thermal Rossby waves. Journal of Fluid Mechanics 166, 173{187.

Cardin, P. & Olson, P. 1994 Chaotic thermal convection in a rapidly rotating spherical shell: consequences for ow in the outer core. Physics of the Earth and Planetary Interiors 82, 235{259. [OpenAIRE]

61 references, page 1 of 5
Powered by OpenAIRE Research Graph
Any information missing or wrong?Report an Issue