Journal
JOURNAL OF FLUID MECHANICS
Volume 748, Issue -, Pages 879-895Publisher
CAMBRIDGE UNIV PRESS
DOI: 10.1017/jfm.2014.216
Keywords
convection; convection in porous media; porous media
Categories
Funding
- Higher Education Funding Council for England
- Science and Technology Facilities Council
- University Research Fellowship from the Royal Society
Ask authors/readers for more resources
High-resolution numerical simulations of statistically steady convection in a three-dimensional porous medium are presented for Rayleigh numbers Ra <= 2 x 10(4). Measurements of the Nusselt number Nu in the range 1750 <= Ra <= 2 x 10(4) are well fitted by a relationship of the form Nu D alpha Ra-3 + beta(3), for alpha(3) = 9.6 x 10(-3) and alpha(3) = 4.6. This fit indicates that the classical linear scaling Nu similar to Ra is attained, and that Nu is asymptotically approximately 40% larger than in two dimensions. The dynamical flow structure in the range 1750 <= Ra <= 2 x 10(4) is analysed, and the interior of the flow is found to be increasingly well described as Ra -> infinity by a heat-exchanger model, which describes steady interleaving columnar flow with horizontal wavenumber k and a linear background temperature field. Measurements of the interior wavenumber are approximately fitted by k similar to Ra-0.52 +/- 0.05, which is distinguishably stronger than the two-dimensional scaling of k similar to Ra-0.4.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available