Turbulent convective heat transfer in an inclined tube with liquid sodium

Mamykin, A. D.; Frick, Peter; Khalilov, R.; Kolesnichenko, I.; Pakholkov, V. V.; Rogozhkin, S. A.; Vasiliev, A.

doi:10.22364/mhd.51.2.17

Cited by 12 publications

(15 citation statements)

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“…the fluid layer between the parallel plates is tilted with respect to the direction of gravity, and both buoyancy and shear act on the flow. This type of convection was studied previously by Daniels, Wiener & Bodenschatz (2003), Chillà et al (2004), Sun, Xi & Xia (2005), Ahlers, Brown & Nikolaenko (2006b), Riedinger et al (2013), Weiss & Ahlers (2013) and Langebach & Haberstroh (2014), and more recently by Frick et al (2015), Mamykin et al (2015), Vasil'ev et al (2015, Kolesnichenko et al (2015), Shishkina & Horn (2016), , Mandrykin & Teimurazov (2019), Khalilov et al (2018) and Zwirner & Shishkina (2018).…”

Section: Introductionmentioning

confidence: 73%

“…Thus, for a cylinder with L = 5D and the Rayleigh numbers, based on the cylinder diameter, up to 10 7 , Frick et al (2015) obtained Nu ∼ Ra 0.43 and Re ∼ Gr 0.44 , where Gr is the Grashof number, Gr ≡ Ra/Pr. For an extremely strong geometrical confinement, namely, for a cylindrical convection cell with L = 20D, and a similar Rayleigh number range, Mamykin et al (2015) found Nu ∼ Ra 0.95 and Re ∼ Gr 0.63 .…”

Section: Introductionmentioning

confidence: 86%

“…For the case of small Pr, in the experiments by Frick et al (2015) and Mamykin et al (2015) on turbulent VC in liquid sodium (Pr ≈ 0.01) in elongated cylinders, significantly larger scaling exponents were observed, due to the geometrical confinement. Thus, for a cylinder with L = 5D and the Rayleigh numbers, based on the cylinder diameter, up to 10 7 , Frick et al (2015) obtained Nu ∼ Ra 0.43 and Re ∼ Gr 0.44 , where Gr is the Grashof number, Gr ≡ Ra/Pr.…”

Section: Introductionmentioning

confidence: 92%

“…Note that, even for a fixed set-up in natural thermal convection with no additional shear imposed on the system, the scaling relations of the mean heat and momentum transport, represented by Nu and 884 A18-4 L. Zwirner and others exponents are essentially increased due to the geometrical confinement. For RBC in a cylinder with L = 5D, Frick et al (2015) reported Nu ∼ Ra 0.4 and for RBC in a very long cylinder with L = 20D, Mamykin et al (2015) obtained Nu ∼ Ra 0.77 . In both studies, also IC in liquid sodium for β = 45 • was investigated, and the following scaling laws were obtained for this inclination angle: Nu ∼ Ra 0.54 for L = 5D and Nu ∼ Ra 0.7 for L = 20D.…”

Section: Introductionmentioning

confidence: 99%

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The influence of the cell inclination on the heat transport and large-scale circulation in liquid metal convection

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Section: Introductionmentioning

confidence: 73%

Section: Introductionmentioning

confidence: 86%

Section: Introductionmentioning

confidence: 92%

Section: Introductionmentioning

confidence: 99%

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The influence of the cell inclination on the heat transport and large-scale circulation in liquid metal convection

et al. 2019

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“…There, the fluid layer, heated on one surface and cooled from the opposite surface, is tilted with respect to the gravity direction, so that both, buoyancy and shear drive the flow in this case. This type of convection was studied previously, in particular, by [20,11,76,2,59,87,47] and more recently by [24,50,80,43,70,78,51,40,98].…”

Section: Introductionmentioning

confidence: 90%

Inclined turbulent thermal convection in liquid sodium

Zwirner,

Khalilov,

Kolesnichenko

et al. 2019

Preprint

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Inclined turbulent thermal convection by large Rayleigh numbers in extremely small-Prandtl-number fluids is studied based on results of both, measurements and high-resolution numerical simulations. The Prandtl number Pr ≈ 0.0093 considered in the experiments and the Large-Eddy Simulations (LES) and Pr = 0.0094 considered in the Direct Numerical Simulations (DNS) correspond to liquid sodium, which is used in the experiments. Also similar are the studied Rayleigh numbers, which are, respectively, Ra = 1.67 × 10 7 in the DNS, Ra = 1.5 × 10 7 in the LES and Ra = 1.42 × 10 7 in the measurements. The working convection cell is a cylinder with equal height and diameter, where one circular surface is heated and another one is cooled. The cylinder axis is inclined with respect to the vertical and the inclination angle varies from β = 0 • , which corresponds to a Rayleigh-Bénard configuration (RBC), to β = 90 • , as in a vertical convection (VC) setup. The turbulent heat and momentum transport as well as time-averaged and instantaneous flow structures and their evolution in time are studied in detail, for different inclination angles, and are illustrated also by supplementary videos, obtained from the DNS and experimental data.To investigate the scaling relations of the mean heat and momentum transport in the limiting cases of RBC and VC configurations, additional measurements are conducted for about one decade of the Rayleigh numbers around Ra = 10 7 and Pr ≈ 0.009. With respect to the turbulent heat transport in inclined thermal convection by low Pr , a similarity of the global flow characteristics for the same value of RaPr is proposed and analysed, based on the above simulations and measurements and on complementary DNS for Ra = 1.67 × 10 6 , Pr = 0.094 and Ra = 10 9 , Pr = 1.

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