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oai:recercat.cat:2117/821042026-01-14T06:18:56Zcom_2072_1033col_2072_452950

Oscillatory convection in rotating spherical shells: low Prandtl number and non-slip boundary conditions García González, Fernando Sánchez Umbría, Juan Dormy, Emmanuel Net Marcé, Marta Universitat Politècnica de Catalunya. Departament de Física Universitat Politècnica de Catalunya. DF - Dinàmica No Lineal de Fluids Àrees temàtiques de la UPC::Física Heat -- Convection Flows (Differentiable dynamical systems) thermal convection rotating flows spherical geometry modulated wave solutions period doubling low-dimensional model Calor -- Convecció Fluxos (Sistemes dinàmics diferenciables) A five-degree model, which reproduces faithfully the sequence of bifurcations and the type of solutions found through numerical simulations of the three-dimensional Boussinesq thermal convection equations in rotating spherical shells with fixed azimuthal symmetry, is derived. A low Prandtl number fluid of s=0. 1 subject to radial gravity, filling a shell of radius ratio ¿=0.35, differentially heated, and with non-slip boundary conditions, is considered. Periodic, quasi-periodic, and temporal chaotic flows are obtained for a moderately small Ekman number, E=10-4,andatsupercritical Rayleigh numbers of order Ra~O(2Rac). The solutions are classified by means of frequency analysis and Poincaré sections. Resonant phase locking on the quasi-periodic branches,as well as a sequence of period doubling bifurcations, are also detected. Peer Reviewed Postprint (published version) 2015-10-01 Article Garcia, F., Sanchez, J., Dormy, E., Net, M. Oscillatory convection in rotating spherical shells: low Prandtl number and non-slip boundary conditions. "SIAM journal on applied mathematics", 01 Octubre 2015, vol. 14, núm. 4, p. 1787-1807. 0036-1399 https://hdl.handle.net/2117/82104 10.1137/15M100729X eng http://epubs.siam.org/doi/pdf/10.1137/15M100729X Open Access 21 p. application/pdf