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Two regimes of flux scaling in axially homogeneous turbulent convection in vertical tube

Shashikant S. Pawar and Jaywant H. Arakeri*

  • Department of Mechanical Engineering, Indian Institute of Science, Bangalore 560012, India

  • *jaywant@mecheng.iisc.ernet.in

Phys. Rev. Fluids 1, 042401(R) – Published 15 August, 2016

DOI: https://doi.org/10.1103/PhysRevFluids.1.042401

Abstract

From experiments of axially homogeneous turbulent convection in a vertical tube using heat (Prandtl number Pr6) and brine (Pr600) we show that at sufficiently high Rayleigh numbers (Rag), the Nusselt number Nug(RagPr)1/2, which corresponds to the so-called ultimate regime scaling. In heat experiments below certain Rag, however, there is transition to a new regime, Nug(RagPr)0.3. This transition also seems to exist in earlier reported data for Pr=1 and Pr600, at different Rag. However, the transition occurs at a single Grashof number, Grgc1.6×105, and unified flux scalings for Pr1, Nug/PrGrg0.3, and Nug/PrGrg1/2 can be given for the two regimes.

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