RT Journal Article
T1 On the onset of instabilities in a Bénard-Marangoni problem in an annular domain with temperature gradient
A1 Hoyas, Sergio
A1 Ianiro, Andrea
A1 Pérez-Quiles, María J.
A1 Fajardo Peña, Pablo
AB This manuscript addresses the linear stability analysis of a thermoconvective problem in an annular domain. The flow is heated from below, with a linear decreasing horizontal temperature profile from the inner to the outer wall. The top surface of the domain is open to the atmosphere and the two lateral walls are adiabatic. The effects of several parameters in the flow are evaluated. Three different values for the ratio of the momentum dffusivity and thermal diffusivity are considered: relatively low Prandtl number (Pr = 1), intermediate Prandtl number (Pr = 5) and high Prandtl number (ideally Pr -> infinity, namely Pr = 50). The thermal boundary condition on the top surface is changed by imposing different values of the Biot number, Bi. The influence of the aspect ratio (I) is assessed for through by studying several aspect ratios, Gamma. The study has been performed for two values of the Bond number (namely Bo = 5 and 50), estimating the perturbation given by thermocapillarity effects on buoyancy effects. Different kinds of competing solutions appear on localized zones of the Gamma-Bi plane. The boundaries of these zones are made up of co-dimension two points. Co-dimension two points are found to be function of Bond number, Marangoni number and boundary conditions but to be independent on the Prandtl number.
PB National Library of Serbia
SN 0354-9836
YR 2017
FD 2017-12
LK https://hdl.handle.net/10016/38596
UL https://hdl.handle.net/10016/38596
LA eng
NO The authors would like to thank Mr. Salvador Hoyas for fruitful conversations about the paper. This work was supported by a generous grant of computer time from the supercomputing center of the UPV. This work has been partially supported by the Spanish R&D National Plan, grant number ESP2013-41052-P.
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