Natural convection with mixed insulating and conducting boundary conditions: low- and high-Rayleigh-number regimes
Natural convection with mixed insulating and conducting boundary conditions: low- and high-Rayleigh-number regimes
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DOI：
10.1017/jfm.2013.671
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发表时间：
2014-03-01
影响因子：
3.7
通讯作者：
Wirth, A.
中科院分区：
文献类型：
--
作者：
Ripesi, P.;Biferale, L.;Wirth, A.
We investigate the stability and dynamics of natural convection in two dimensions, subject to inhomogeneous boundary conditions. In particular, we consider a Rayleigh-Benard (RB) cell, where the horizontal top boundary contains a periodic sequence of alternating thermal insulating and conducting patches, and we study the effects of the heterogeneous pattern on the global heat exchange, at both low and high Rayleigh numbers. At low Rayleigh numbers, we determine numerically the transition from a regime characterized by the presence of small convective cells localized at the inhomogeneous boundary to the onset of 'bulk' convective rolls spanning the entire domain. Such a transition is also controlled analytically in the limit when the boundary pattern length is small compared with the cell vertical size. At higher Rayleigh number, we use numerical simulations based on a lattice Boltzmann method to assess the impact of boundary inhomogeneities on the fully turbulent regime up to Ra similar to 10(10).
