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

Published online by Cambridge University Press:  19 April 2006

H. Branover
Affiliation:
Mechanical Engineering Department, Ben-Gurion University of the Negev, Beer-Sheva, Israel
J. C. R. Hunt
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge
M. R. E. Proctor
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge
E. S. Pierson
Affiliation:
Engineering Division, Argonne National Laboratory, 9700 South Can Avenue, Argonne, Illinois 60439

Abstract

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.

Type
Research Article
Copyright
© 1979 Cambridge University Press

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References

Alemany, A. & Moreau, R. 1977 Ecoulement du'un fluide conducteur de l'léctricité en presence du'un champ magnetique torunant. J. Méc. 16, 625.Google Scholar
Alemany, A., Moreau, R., Sulem, P. L. & Frisch, U. 1978 Effect of an external magnetic field on homogeneous turbulence. J. Méc. (to be published).Google Scholar
Amini, J. Development of a laminar spot generated by a local perturbation in a laminar boundary layer.
Batchelor, G. K. 1956 On steady laminar flow with closed streamlines at large Reynolds number. J. Fluid Mech. 1, 177.Google Scholar
Bendaoud, M. 1974 Ph.D. thesis, Université d'Alger.
Bevir, M. K. 1973 Possibility of electromagnetic self excitation in liquid metal flows in fast reactors. J. Brit. Nucl. Engng. Soc. 12, 455.Google Scholar
Block, F. R. 1973 Electromagnetic runners and pumps. Eur. Iron and Steel Comm. Rep. no. 5082 d, e, f.Google Scholar
Block, F. R. Electromagnetic control of steel in continuous casting process.
Bocheninski, D. P., Tananaev, A. D. & Yakovkev, B. B. 1977 Experimental study of electrically conducting liquids in circular curved ducts in strong magnetic field. Magn. Gidro. 4, 61.Google Scholar
Borda, I., Branover, H., Elbocher, A. & Leitner, A. On the possible use of MHD generators in solar energy systems.
Branover, H. (ed.) 1976 Proc. Bat-Sheva Sem. MHD Flows & Turbulence. Wiley.
Branover, H. & Gershon, P. 1976 An experimental MHD facility for the investigation of some important features of turbulence suppression. Proc. Bat-Sheva Sem. MHD Flow & Turbulence, p. 81. Wiley.
Branover, H., Hoch, E., Landsberg, A., Unger, Y. & Zilberman, I. Effect of fringe fields on flow in rectangular channels with different aspect ratios.
Branover, H., Gershon, P. & Zilberman, I. Hot-film measurements in a channel with azimuthal magnetic field and the problem of two-dimensional flow disturbances.
Brown, G. L. & Roshko, A. 1974 On density effects and large structures in turbulent mixing layers. J. Fluid Mech. 64, 775.Google Scholar
Chabrérie, J. P. & Tabeling, P. Experimental study of the transition between laminar and turbulent MHD annular flows.
Chandrasekhar, S. 1961 Hydrodynamic and Hydromagnetic Stability. Oxford. Clarendon Press.
Chandrsuda, C., Mehta, R. D., Weir, A. D. & Bradshaw, P. 1978 Effect of free-stream turbulence on large structure in turbulent mixing layers. J. Fluid Mech. 85, 693.Google Scholar
Chang, C. C. & Lundgren, T. S. 1961 Duct flow in magnetohydrodynamics. Z. angew. Math. Phys. 12, 100.Google Scholar
Costa de Beauregard, O. & Tribus, M. 1974 Information theory and thermodynamics. Hevetica Phys. Acta 47, 238.Google Scholar
Cowley, M. D. 1961 On some kinematic problems in magnetohydrodynamics. Quart. J. Mech. Appl. Math. 14, 319.Google Scholar
Crow, S. & Champagne, F. H. 1971 Orderly structure in jet turbulence. J. Fluid Mech. 48, 547.Google Scholar
Dunn, P. F., Fabris, G., Pierson, E. S. & Petrick, M. Two-phase liquid-metal MHD generator experiments and pressure gradient correlations.
Elkins, R. E., Lindgren, R., Trovillion, T. A. & Kurzweg, U. H. Two-phase magneto-hydrodynamic channel flow.
Erdogan, E. 1969 Dispersion of matter in MHD flow between two plates. J. Méc. 8, 229.Google Scholar
Fabris, G. Conditional sampling comparison of the turbulent wake of a cylinder and its interaction with an equal wake.
Fabris, G., Dunn, P. F. & Pierson, E. S. Local measurements in two-phase liquid-metal MHD.
Fautrelle, Y. 1978 Baroclinic waves in the presence of a magnetic field. J. Méc. (to appear).Google Scholar
Fautrelle, Y. Baroclinic instability in the presence of a magnetic field.
Frenkiel, F. N. Recent directions in turbulence studies (review lecture).
Garnier, M. A. & Garnier, J. Instability of a free surface driven by alternating magnetic fields.
Geffen, N. & Lustman, L. Wave propagation and breakdown in a multidimensional magnetogas dynamic flow.
Hervé, P. MHD Covette flow in a rectangular-section toroidal duct.
Holroyd, R. J. 1976 Magnetohydrodynamic duct flows in non-uniform magnetic fields. Ph.D. thesis, University of Cambridge.
Holroyd, R. J. & Hunt, J. C. R. Theoretical and experimental studies of liquid-metal flow in strong non-uniform magnetic fields in ducts with complex geometry (review lecture).
Holroyd, R. J. & Walker, J. S. 1978 A theoretical study of the effects of wall conductivity, non-uniform magnetic fields and variable-area ducts on liquid-metal flows at high Hartmann number. J. Fluid Mech. 84, 471.Google Scholar
Hunt, J. C. R. & Holroyd, R. J. 1977 Applications of laboratory and theoretical MHD duct flow studies in fusion reactor technology. UKAEA Rep. CLM-R169.Google Scholar
Hunt, J. C. R. & Maxey, M. R. Estimating turbulent shear stresses in low frequency electromagnetic fields.
Hunt, J. C. R. & Moreau, R. 1976 Liquid-metal magnetohydrodynamics with strong magnetic fields: a report on Euromech 70. J. Fluid Mech. 78, 261.Google Scholar
Jeffrey, A. & Taniuti, T. 1969 Nonlinear wave propagation. Academic Press.
Jones, C. A., Moore, D. R. & Weiss, N. O. 1976 Axisymmetric convection in a cylinder. J. Fluid Mech. 73, 353.Google Scholar
Kapusta, A. B. 1968 Motion of a conducting fluid under the action of a rotating magnetic field. Magn. Gidro. 4, 70. (English trans. Magnetohydrodyn. 4, 71.)Google Scholar
Kennedy, G. C. & Higgins, G. H. 1973 The core paradox. J. Geophys. Res. 78, 900.Google Scholar
Klebanoff, P. S. & Frenkiel, F. N. Further measurements on the small-scale turbulence structure.
Kraichnan, R. H. 1974 On Kolmogorov's inertial-range theories. J. Fluid Mech. 62, 305.Google Scholar
Kulikovskii, A. G. 1973 Flows of a conducting incompressible liquid in an arbitrary region with a strong magnetic field. Mekh. Zh. i Gaza 8 (3), 144. (English trans. Fluid Dyn. 8, 462.)Google Scholar
Landau, L. D. & Lifshitz, E. M. 1959 Fluid Mechanics. Pergamon.
Lederman, S. The application of laser scattering to flow field diagnostics.
Leith, C. E. & Kraichnan, R. H. 1972 Predictability of turbulent flows. J. Atmos. Sci. 19, 1041.Google Scholar
Lessen, M. 1978 On the power laws for turbulent jets, wakes and shearing layers and their relationship to the principle of marginal instability. J. Fluid Mech. 88, 535.Google Scholar
Lessen, M. On the marginal instability of turbulent flow.
Lessen, M., Barcilon, A. & Butler, T. E. 1977 On the growth, limiting thickness and dominant eddy scale of turbulent shearing layers in the atmosphere. J. Fluid Mech. 82, 449.Google Scholar
Lin, A. & Wolfshtein, M. 1977 Theoretical study of the Reynolds stress equations. Proc. Symp. Turbulent Shear Flows, Univ. Park, Penn.
Ludford, G. S. S. & Walker, J. S. Current status of MHD duct flow (review lecture).
Lustman, L. & Geffen, N. 1977 On the breakdown of a continuous multi-dimensional gasdynamic flow. Z. angew. Math. Phys. 28, 23.Google Scholar
Lykoudis, P. S. 1967 Experimental studies for the determination of transport properties in the presence of a magnetic field for a conducting medium flowing turbulently. Proc. IUPACC Conf. Moscow.
Lykoudis, P. S. Liquid-metal MHD generators with shunt layer.
Lykoudis, P. S. & Brouillette, E. C. 1967 Magneto-fluid-mechanics channel flows. II. Theory. Phys. Fluid 10, 1002.Google Scholar
McNab, I. R. High interaction parameter magnetofluiddynamics experiments in a rectangular NaK-filled duct.
Mandelbrot, B. B. 1974 Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of the carrier. J. Fluid Mech. 62, 331.Google Scholar
Moffatt, H. K. 1965 On fluid flow induced by a rotating magnetic field. J. Fluid Mech. 22, 521.Google Scholar
Moffatt, H. K. 1967 On the suppression of turbulence by a uniform magnetic field. J. Fluid Mech. 28, 625.Google Scholar
Moffatt, H. K. 1969 On the degree of knottedness of tangled vortex lines. J. Fluid Mech. 35, 117.Google Scholar
Moffatt, H. K. 1978a Magnetic Field Generation in Electrically Conducting Fluids. Cambridge University Press.
Moffatt, H. K. 1978b Some problems in the magnetohydrodynamics of liquid metals. Z. angew. Math. Mech. 58, 65.Google Scholar
Moffatt, H. K. Generation of rotation in closed containers by a rotating magnetic field (review lecture).
Moffatt, H. K. Streamwise diffusion in MHD duct flow.
Moreau, R. 1968 On magnatohydrodynamic turbulence. Proc. Symp. Turbulence of Fluids & Plasmas, Polytech. Inst. Brooklyn.
Moreau, R. MHD problems with alternating magnetic fields (review lecture).
Naot, D. 1977 Local equilibrium solutions for a stress-transport turbulence model. Phys. Fluids 20, 54.Google Scholar
Naot, D. 1978 Rapid-distortion solutions for a stress-transport turbulence model in contracting flow. Phys. Fluids 21 (in press).Google Scholar
Naot, D. Some thermodynamic aspects of anisotropic turbulence.
Naot, D., Shavit, A. & Wolfshtein, M. 1974 Numerical calculations of Reynolds stresses in a square duct with secondary flow. Warme Stoffubertragung 7 (3), 151.Google Scholar
Oster, D., Dziomba, B., Fiedler, H. & Wygananski, I. On the effect of initial conditions on the two-dimensional turbulent mixing layer.
Owen, R. G., Hunt, J. C. R. & Collier, J. G. 1976 MHD pressure drop in ducted 2-phase flows. J. Multiphase Flow 3, 23.Google Scholar
Ozelton, N. W. & Wilson, J. R. 1966 J. Sci. Instrum. 43, 359363.
Pavlovskii, N. N. 1956 Collected Works. Leningrad: Akad. Nauk.
Pierson, E. S. 1975 Electromagnetic selfexcitation in the liquid metal fast breeder reactor. Nucl. Sci. Engng 57, 155.Google Scholar
Plaschko, P. On three-dimensionally growing disturbances of jets in the presence of parallel magnetic fields.
Proctor, M. R. E. 1977 Inertial convection at low Prandtl number. J. Fluid Mech. 82, 97.Google Scholar
Proctor, M. R. E. Inertial convection in liquids metal.
Schouten, E. The entrance of a viscous boundary layer in a magnetic field.
Radebold, R. A solar comeback of liquid-metal MHD systems.
Schumann, U. 1976 Numerical simulation of the transition from three- to two-dimensional turbulence under a uniform magnetic field. J. Fluid Mech 74, 31.Google Scholar
Shercliff, J. A. 1962 Theory of Electromagnetic Flow Measurements. Cambridge University Press.
Shercliff, J. A. 1975 Some duct flow problems at high Hartmann number. Z. angew. Math. Phys. 26, 537.Google Scholar
Shercliff, J. A. 1977 Simple rotational flows. J. Fluid Mech. 82, 687.Google Scholar
Shercliff, J. A. Some analogous problems in fluid mechanics and MHD (review lecture).
Shercliff, J. A., Alty, C. J. N. & Dutta Gupta, P. B. Thermoelectric MHD.
Sneyd, A. 1971 Generation of fluid motion in a circular cylinder by an unsteady applied magnetic field. J. Fluid Mech. 49, 817.Google Scholar
Sulem, P. L., Frisch, U., Alemany, A. & Moreau, R. Influence of an external magnetic field on homogeneous MHD turbulence.
Tabeling, P. & Chabrérie, J. P. Magnetohydrodynamic flows through ducts with thin walls of arbitrary conductivities at high Hartmann numbers (parts 1 and 2).
Tate, E. & Zauderer, B. Self-excited pulsed MHD power generation.
Taylor, G. I. 1953 Proc. Roy. Soc. A 219, 186.
Temperley, D. J. & Todd, L. 1971 The effects of wall conductivity in MHD duct flows at high Hartmann number. Proc. Camb. Phil. Soc. 69, 337.Google Scholar
Thatcher, G. Sodium electrotechnology at the Risley Nuclear Power Development Laboratory.
Tir, L. L. 1965 Modelling the motion of molten metal in an induction furnace. Magn. Gidro. 1, (4), 120.Google Scholar
Townsend, A. A. 1976 The structure of turbulent Shear Flow, 2nd edn. Cambridge University Press.
Trovillion, T. A., Kurzweg, U. H., Elkins, R. E. & Lindgren, E. R. Hydromagnetic channel flows of fluids with cross-stream dependent electrical conductivity.
Vivès, Ch. 1975 Study of the flow around non-conducting and conducting cylindrical obstacles in the presence of a transverse magnetic field. C.R. Acad. Sci. Paris B 280, 677.Google Scholar
Walker, J. S. 1975a Steady flow in rapidly rotating variable-area rectangular duct. J. Fluid Mech. 96, 209.Google Scholar
Walker, J. S. 1975b Uniform open channel liquid metal flows with transverse magnetic fields. Develop. in Mech. 8, 421.Google Scholar
Walker, J. S. & Ludford, G. S. S. 1977 Duct flow in strong magnetic fields. Recent Adv. in Engng Sci. 6, 329.Google Scholar
Walker, J. S. & Ludford, G. S. S. Liquid-metal flows in open channels
Wolfshtein, M. The influence of the structure of turbulence Prandtl number for turbulence energy.
Wolfshtein, M., Naot, D. & Lin, A. 1975 Models in turbulence. Current topics in Thermal Sciences (ed. C. Gutfuiger). Scripta Book Co.
Woods, L. C. 1975 Thermodynamics of Fluid Systems. Oxford: Clarendon Press.
Yakhot, A., Hoch, E., Levin, A. & Branover, H. MHD channel with streamwise nonconducting baffles.