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  1. No Access

    Chapter

    Stability of Interfacial Waves in Aluminium Reduction Cells

    We have developed a simple model of reduction cell instabilities which highlights the critical role played by the single grou** J o B z /hH, w...

    P. A. Davidson, R. I. Lindsay in Essential Readings in Light Metals (2016)

  2. No Access

    Chapter and Conference Paper

    Observations on Rapidly Rotating Turbulence

    Experiments on rapidly rotating turbulence have been reported in recent years in which the Rossby number, Ro, drifts down towards unity as the energy of the turbulence decays (Davidson et al., 2006; Staplehurst e...

    P. A. Davidson, P. J. Staplehurst… in IUTAM Symposium on Turbulence in the Atmos… (2010)

  3. No Access

    Chapter and Conference Paper

    On the structure of rapidly-rotating, decaying turbulence

    Laboratory experiments of rotating turbulence at a Rossby number of order unity show three robust phenomena: (i) the rapid formation of columnar eddies aligned with the rotation axis; (ii) a dominance of cyclo...

    P. A. Davidson in Advances in Turbulence XII (2009)

  4. No Access

    Chapter and Conference Paper

    On the energy decay of grid generated turbulence

    There is a long tradition of studying the decay of turbulent energy generated by grids. The main reason for this is that it is probably the simplest turbulent flow that exists. Despite its simplicity there are...

    P.-Å. Krogstad, P. A. Davidson in Advances in Turbulence XII (2009)

  5. No Access

    Chapter and Conference Paper

    Structure Formation in Homogeneous Rotating Turbulence

    P.J. Staplehurst, P.A. Davidson, S.B. Dalziel in Advances in Turbulence XI (2007)

  6. No Access

    Chapter and Conference Paper

    On the Deficiency of Structure Functions as Inertial Range Diagnostics

    P.A. Davidson, P.-A. Krogstad in Advances in Turbulence XI (2007)

  7. No Access

    Chapter and Conference Paper

    On the Decay of Isotropic Turbulence

    We investigate the decay of freely-evolving, isotropic turbulence whose spectrum takes the form E(k→0)∼Ik4, I being Loitsyansky's integral. We report numerical simulations in a periodic domain whose dimensions, l

    P. A. Davidson, Y. Kaneda, T. Ishida in Progress in Turbulence II (2007)

  8. No Access

    Chapter

    MHD Turbulence at Low and High Magnetic Reynolds Number

    This chapter discuses the influence of magnetic fields on turbulence, with particular emphasis on homogeneous turbulence away from boundaries. We start, however, by recalling certain features of conventional t...

    P. A. Davidson in Magnetohydrodynamics (2002)

  9. No Access

    Article

    A new approach to numerical simulation of melt flows and interface instability in hall-héroult cells

    A new approach to numerical analysis of magnetohydrodynamic phenomena in aluminum reduction cells is proposed. The flows of aluminum and cryolite, as well as the instability of the interface between the two la...

    Oleg Zikanov, Andre Thess, P. A. Davidson… in Metallurgical and Materials Transactions B (2000)

  10. No Access

    Article

    Natural convection in an aluminum ingot: A mathematical model

    Strong buoyancy-driven flows are known to occur in the liquid metal pool of an aluminum ingot caster. These flows have a significant influence on the metallurgical structure of the ingot, largely through the r...

    P. A. Davidson, S. C. Flood in Metallurgical and Materials Transactions B (1994)

  11. No Access

    Article

    The importance of secondary flow in the rotary electromagnetic stirring of steel during continuous casting

    This paper considers some aspects of the flow generated in a circular strand by a rotary electromagnetic stirrer. A review is given of one-dimensional models of stirring in which the axial variation in the sti...

    P. A. Davidson, F. Boysan in Applied Scientific Research (1987)

  12. No Access

    Chapter

    The importance of secondary flow in the rotary electromagnetic stirring of steel during continuous casting

    This paper considers some aspects of the flow generated in a circular strand by a rotary electromagnetic stirrer. A review is given of one-dimensional models of stirring in which the axial variation in the sti...

    P. A. Davidson, F. Boysan in Modelling the Flow and Solidification of Metals (1987)