Electromagnetic Self-Excitation in the Liquid-Metal Fast Breeder Reactor

Pierson, E.S.

doi:10.13182/nse75-a27342

Cited by 15 publications

(7 citation statements)

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“…We further allow for a variation of the relative permeability assuming that magnetic material is used to guide the flow along the vertical direction. Following the idea of Pierson (1975), the helical flow within one cell represents the mean flow within one assembly of nuclear fuel rods ignoring the even smaller scale flow around individual rods. The flow with amplitude u 0 in one individual cell of size D is given by (17)) which additionally considers the wall regions by setting…”

Section: Velocity Fieldmentioning

confidence: 99%

“…Actually, early estimations by Bevir (1973) and Pierson (1975) as well as more recent experimental and numerical studies (Plunian et al 1995, Plunian et al 1999, Alemany et al 2000 show no conclusive evidence for the occurrence of dynamo action in the core of a fast reactor. On the other hand it has been argued by Soto (1999) that the parameter regime reached by the French fast breeder reactor Superphenix is well within the range that allows for dynamo action if some magnetic material is introduced into the container (see p. 104, Fig III.32 in Soto 1999).…”

Section: Introductionmentioning

confidence: 99%

“…We consider two paradigmatic configurations with either a helical flow subdivided by internal walls, or a flow following a helical path around solid rods, respectively. The first model follows the heuristic approach of Pierson (1975) in which the screw-like vortex represents the mean flow within an assembly of nuclear fuel rods. In a very broad sense, this model can also serve as an approach for the flow field between the blades in the VKS dynamo.…”

Section: Introductionmentioning

confidence: 99%

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Magnetic material in mean-field dynamos driven by small scale helical flows

2014

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We perform kinematic simulations of dynamo action driven by a helical small scale flow of a conducting fluid in order to deduce mean-field properties of the combined induction action of small scale eddies. We examine two different flow patterns in the style of the G O Roberts flow but with a mean vertical component and with internal fixtures that are modelled by regions with vanishing flow. These fixtures represent either rods that lie in the center of individual eddies, or internal dividing walls that provide a separation of the eddies from each other. The fixtures can be made of magnetic material with a relative permeability larger than one which can alter the dynamo behavior. The investigations are motivated by the widely unknown induction effects of the forced helical flow that is used in the core of liquid sodium cooled fast reactors, and from the key role of soft iron impellers in the von-Kármán-sodium dynamo. For both examined flow configurations the consideration of magnetic material within the fluid flow causes a reduction of the critical magnetic Reynolds number of up to 25%. The development of the growth-rate in the limit of the largest achievable permeabilities suggests no further significant reduction for even larger values of the permeability. In order to study the dynamo behavior of systems that consist of tens of thousands of helical cells we resort to the mean-field dynamo theory (Krause and Rädler 1980 Mean-field Magnetohydrodynamics and Dynamo Theory (Oxford: Pergamon)) in which the action of the small scale flow is parameterized in terms of an αand β-effect. We compute the relevant elements of the αand the Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

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Section: Velocity Fieldmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Magnetic material in mean-field dynamos driven by small scale helical flows

2014

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“…Introduction Beginning with the early considerations of Bevir [1], Pierson [2], and Steenbeck [3], there has always been a tight connection between experimental dynamo studies and research related to liquid metal fast reactors (LMFR), in particular to sodium fast rectors (SFR). For example, a precursor of the Riga dynamo experiment [4] had been carried out in 1987 at a test facility for SFR pumps in Leningrad [5].…”

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confidence: 99%

DRESDYN -- a new facility for MHD experiments with liquid sodium

Stefani¹,

Eckert²,

Gerbeth³

et al. 2012

MHD

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The DREsden Sodium facility for DYNamo and thermohydraulic studies (DRESDYN) is intended as a platform both for large scale experiments related to geo-and astrophysics as well as for experiments related to thermohydraulic and safety aspects of liquid metal batteries and liquid metal fast reactors. The most ambitious projects in the framework of DRESDYN are a homogeneous hydromagnetic dynamo driven solely by precession and a large Taylor-Couette type experiment for the combined investigation of the magnetorotational instability and the Tayler instability. In this paper we give a short summary about the ongoing preparations and delineate the next steps for the realization of DRESDYN.

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“…The addition of swirl may be important. Pierson (Argonne) commented that, following Bevir's (1973) speculation on how a magnetic field might be amplified by a large quantity of liquid metal in motion in a system of pipes, his group had done their own calculations and decided that self-generation of a magnetic field was not a t all likely (Pierson 1975).…”

Section: P Herd (Rqunion) Presented Theoretical Results For Couettementioning

confidence: 99%

Magnetohydrodynamic flows and turbulence: a report on the Second Bat-Sheva Seminar

et al. 1979

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This paper is a summary of the Second Bat-Sheva Seminar on magnetohydrodynamic (MHD) Flows and turbulence. It was held in the University of the Negev, Israel, on 28-31 March 1978, with 64 participants from 7 countries. Reviews and research papers were presented on the general theory of MHD, MHD duct flows (with emphasis on novel aspects such as non-uniform fields and fluid properties, bends, free-surface effects and longitudinal diffusion), two-phase flows (especially those likely to occur in a liquid-metal generator), turbulence and instabilities, and electrically driven flows (with new results presented for the theory of laminar and turbulent flows in induction furnaces, and for the theory of thermo-electrically driven flows in transverse magnetic fields). One day of the conference was devoted to turbulence, mainly without magnetic fields, with reviews and new results presented on the theory and measurements of coherent structures, intermittency at high Reynolds number, methods of calculating shear flows, and measurement techniques. The seminar was a strange mixture of people and topics, which produced some interesting papers and some useful discussion.

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Electromagnetic Self-Excitation in the Liquid-Metal Fast Breeder Reactor

Cited by 15 publications

References 0 publications

Magnetic material in mean-field dynamos driven by small scale helical flows

Magnetic material in mean-field dynamos driven by small scale helical flows

DRESDYN -- a new facility for MHD experiments with liquid sodium

Magnetohydrodynamic flows and turbulence: a report on the Second Bat-Sheva Seminar

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