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Direct numerical simulations of turbulent convection at high Rayleigh numbersin large aspect ratio cells are challenging because of the prohibitivecomputational resources required. One can achieve high Rayleigh numbers ataffordable costs for low aspect ratios, but the effect of small aspect ratioremains to be understood fully. In this work, we explore integral quantities inconvection in a cell with the small aspect ratio of 0.1 by varying both theRayleigh and Prandtl numbers systematically. We find that the heat transport inthis flow is within 10\% of that in cells with large aspect ratios for highenough Rayleigh numbers and for Prandtl numbers larger than unity. For lowPrandtl numbers, the increase of the heat transport is steeper for low aspectratios, approaching that in large aspect ratios as the Prandtl numberincreases. Further, the global momentum transport, quantified by the Reynoldsnumber, is reduced for all Prandtl numbers, presumably because of the largervolume of flow affected by the friction from sidewalls, compared to that incells of larger aspect ratio.

Convective heat transport in slender cells is close to that in wider cells at high Rayleigh and Prandtl numbers