Natural convection in horizontal pipe flow with a strong transverse magnetic field

Zikanov, Oleg; Listratov, Yaroslav; Sviridov, V. G.

doi:10.1017/jfm.2013.45

Cited by 66 publications

(84 citation statements)

References 29 publications

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“…Our approach in this study is to use the approximation, partially justifying it by the fact that the particularly interesting flows for us are turbulent and, thus, temperature non-uniformity is reduced, and postpone considering its accuracy for the future. The problem is solved numerically in primitive variables using the finite-difference scheme developed by Krasnov, Zikanov & Boeck (2011) and modified to include thermal convection and implicit treatment of viscosity and conduction terms by Zikanov et al (2013) and Zhang & Zikanov (2014). The spatial and time discretizations are of the second order.…”

Section: Physical Model and Numerical Methodsmentioning

confidence: 99%

“…This changed in recent laboratory experiments, such as those † Email address for correspondence: xuanz@umich.edu Two-dimensional turbulent convection 37 on mercury flows in pipes and ducts (see, e.g., Belyaev et al 2011Belyaev et al , 2013Genin et al 2011a,b;Melnikov et al 2014;Poddubnyi et al 2014), and computations (Mistrangelo & Bühler 2013;Vetcha et al 2013;Zikanov, Listratov & Sviridov 2013;Lv & Zikanov 2014;Zhang & Zikanov 2014;Liu & Zikanov 2015). While limited to moderately high values of Hartmann and Grashof numbers (experiments and accurate computations at the parameters of a real fusion reactor are as of yet unfeasible) and, therefore, not amounting to an unambiguous proof, the studies produced convincing data indicating that the structure and transport properties of blanket flows are changed profoundly by thermal convection.…”

Section: Introductionmentioning

confidence: 99%

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Two-dimensional turbulent convection in a toroidal duct of a liquid metal blanket of a fusion reactor

Zhang

Zikanov

2015

J. Fluid Mech.

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Convection in a horizontal duct aligned with a uniform magnetic field is analysed computationally. The motivation of the study is the concept of a liquid metal blanket for a tokamak fusion reactor, in which ducts are oriented toroidally, i.e. parallel to the main component of the magnetic field. Computations of two-dimensional (streamwiseuniform) flows appearing at very strong magnetic fields and of three-dimensional flows in long domains are conducted. Non-uniform volumetric internal heating is applied, while the walls are maintained at a constant temperature. Two-dimensional or nearly two-dimensional turbulent convection is found at high Grashof and Hartmann numbers typical for fusion reactor conditions. The turbulence results in stronger mixing and more uniform distribution of wall heat flux, indicating promising potential of this concept of the blanket.

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Section: Physical Model and Numerical Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Two-dimensional turbulent convection in a toroidal duct of a liquid metal blanket of a fusion reactor

Zhang

Zikanov

2015

J. Fluid Mech.

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“…The system of equations (1) - (3) is solved by the DNS method, the detailed algorithm of which is presented in [3].…”

Section: Physical Modelmentioning

confidence: 99%

Direct numerical simulation of Mhd heat transfer of the liquid metal in a horizontal pipe with the joint effect of the longitudinal magnetic field and thermo-gravitational convection

Ruslan

Yaroslav

2017

MATEC Web Conf.

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Abstract.The results of the direct numerical simulation (DNS) of the MHD heat transfer in turbulent flow of liquid metal (LM) in a horizontal pipe under the joint influence of a longitudinal magnetic field (MF) and thermo-gravitational convection (TGC) are presented. Discusses the characteristics of hydrodynamics and heat transfer in the longitudinal MF in the absence of TGC. Suppression of turbulent transport is observed with an increase in the Hartmann number: the heat transfer coefficients, the friction coefficient. The authors calculated the effect of TGC in a strong longitudinal MF for a homogeneous heating. Investigated the averaged fields of velocity and temperature, heat transfer characteristics, the distribution of wall temperature along the perimeter of the cross section of the pipe. The effect of TGC on the velocity field is affected stronger than in the temperature field.

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“…The differences can be related to both the experiment and the computations. As alternative benchmarks, one can consider experiments on MHD natural-convection flows in [30] and [31].…”

Section: Benchmark Problem E Mhd Flow With Heat Transfermentioning

confidence: 99%

An approach to verification and validation of MHD codes for fusion applications

Smolentsev

Badia

Bhattacharyay

et al. 2015

Fusion Engineering and Design

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We propose a new activity on verification and validation (V&V) of MHD codes presently employed by the fusion community as a predictive capability tool for liquid metal cooling applications, such as liquid metal blankets. The important steps in the development of MHD codes starting from the 1970s are outlined first and then basic MHD codes, which are currently in use by designers of liquid breeder blankets, are reviewed. A benchmark database of five problems has been proposed to cover a wide range of MHD flows from laminar fully developed to turbulent flows, which are of interest for fusion applications: (A) 2D fully developed laminar steady MHD flow, (B) 3D laminar, steady developing MHD flow in a non-uniform magnetic field, (C) quasitwo-dimensional MHD turbulent flow, (D) 3D turbulent MHD flow, and (E) MHD flow with heat transfer (buoyant convection). Finally, we introduce important details of the proposed activities, such as basic V&V rules and schedule. The main goal of the present paper is to help in establishing an efficient V&V framework and to initiate benchmarking among interested parties. The comparison results computed by the codes against analytical solutions and trusted experimental and numerical data as well as code-to-code comparisons will be presented and analyzed in companion paper/papers.

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Natural convection in horizontal pipe flow with a strong transverse magnetic field

Cited by 66 publications

References 29 publications

Two-dimensional turbulent convection in a toroidal duct of a liquid metal blanket of a fusion reactor

Two-dimensional turbulent convection in a toroidal duct of a liquid metal blanket of a fusion reactor

Direct numerical simulation of Mhd heat transfer of the liquid metal in a horizontal pipe with the joint effect of the longitudinal magnetic field and thermo-gravitational convection

An approach to verification and validation of MHD codes for fusion applications

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