International Journal of Heat and Mass Transfer, Vol.55, No.4, 995-1003, 2012
Transient natural convective heat transfer of a low-Prandtl-number fluid from a heated horizontal circular cylinder to its coaxial triangular enclosure
Transient natural convective heat transfer of liquid gallium, which has a Prandtl number of 0.023 at 310 K, from a heated horizontal circular cylinder to its coaxial triangular enclosure is studied numerically by employing the control volume method. Two orientations of the triangular cylinder are investigated and the Grashof number is varied from 10(4) to 10(7). Development of natural convection is presented by means of the evolutions of the average Nusselt number over the outer triangular wall. Temporal stages during the course of development are identified and demonstrated through representative snapshots of streamlines and isotherms. The time-averaged Nusselt number is scaled with Grashof number for both conduction- and convection-dominated regimes. It is found that by placing horizontally the top side of the triangular cylinder, the convective flow becomes more stable and the overall heat transfer is enhanced. In addition, pitchfork bifurcation is explored quantitatively and its onset times are predicted as well. (C) 2011 Elsevier Ltd. All rights reserved.
Keywords:Transient natural convection;Heat transfer;Triangular cylinder;Circular cylinder;Low-Prandtl-number fluid;Pitchfork bifurcation