Abo Bibliothek: Guest

ISSN Online: 2377-424X

ISBN Print: 978-1-56700-474-8

ISBN Online: 978-1-56700-473-1

International Heat Transfer Conference 16
August, 10-15, 2018, Beijing, China

NUMERICAL STUDY FOR A THERMAL CONVECTION IN A ROTAING SPHERICAL SHELL WITH GROWTH OF MAGNETIC FIELD

Get access (open in a dialog) DOI: 10.1615/IHTC16.cov.024328
pages 3199-3206

Abstrakt

In order to elucidate the fundamentals of geomagnetism creation of the Earth, we introduced a rather simplified model for numerical computations. The present study considers the interaction between the thermal convection and the magnetic field for an incompressible viscous fluid in a rotating spherical shell. We treat the conservation of mass, momentum equations, energy equation, Gauss's law for magnetism, and induction equations. The dimensionless parameters for the problem are the Rayleigh number, Prandtl number, Ekman number, Froude number and magnetic Prandtl number. The Froude number and Prandtl number are fixed as 0.05 and 1 respectively while the Rayleigh number, Ekman number and magnetic Prandtl number are changed in wide ranges. The simultaneous partial differential equations were discretized on a staggered mesh system in a threedimensional spherical coordinate system and solved by the HSMAC algorithm for both the fluid and electromagnetism. To implement a GPU computing, we introduced a programming language C++ AMP. For certain combination of parameters, ideal convection structure, which rotates at a constant speed with keeping the fluid and temperature fields, is attained and it may generate magnetic field which grows exponentially during the early stage and finally tends to reach to quasi constant value. It is exhibited that the growth rate of the magnetic field depends on the value of magnetic Prandtl number.