Flow structure of thermal convection in a rotating spherical shell
Flow structure of thermal convection in a rotating spherical shell
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旋转球壳内热对流的流动结构
DOI：
10.1088/0951-7715/10/4/005
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发表时间：
1996
期刊：
影响因子：
1.7
通讯作者：
S. Kida
中科院分区：
文献类型：
--
作者：
H. Kitauchi;K. Araki;S. Kida
在Rayleigh数为3200，Taylor数为8000，Prandtl数为1，两球半径比为0.5的条件下，数值研究了以相同角速度旋转的两个同心球之间Boussinesq流体热对流稳态时的螺旋流线型.在球壳赤道面的中部产生了五对旋转方向相反的泰勒-普劳德曼涡柱，它们平行于旋转轴交替排列。这些涡柱以恒定的角速度逆行。在以该角速度旋转的坐标系中，流场是稳定的。速度场相对于赤道平面是对称的。在定常流系中，发现了三种绕球体旋转轴旋转一圈的非平凡闭合流线和七种不同的非平凡速度驻点。速度场的纠缠拓扑结构通过观察闭合流线和从驻点发出的流线来解决。
A convoluted pattern of streamlines in a steady state of thermal convection of a Boussinesq fluid between two concentric spheres rotating with a common angular velocity is investigated numerically at Rayleigh number 3200, Taylor number 8000, Prandtl number 1, and the radius ratio 0.5 of the two spheres. Five pairs of Taylor - Proudman vortex columns with opposite rotation are generated alternately arranged parallel to the axis of rotation across the middle of the equatorial plane of the spherical shell. These vortex columns retrograde at a constant angular velocity. The flow field is steady in a frame rotating with this angular velocity. The velocity field is symmetric with respect to the equatorial plane. Three kinds of non-trivial closed streamlines which turn once around the rotating axis of the spheres and seven different kinds of non-trivial stagnation points of velocity are found in the steady-flow frame. The entangled topological structure of the velocity field is resolved by observation of closed streamlines and streamlines emanating from stagnation points.