Patterned Turbulence in Liquid Metal Flow: Computational Reconstruction of the Hartmann Experiment

被引:37
作者
Krasnov, Dmitry [1 ]
Thess, Andre [1 ]
Boeck, Thomas [1 ]
Zhao, Yurong [2 ]
Zikanov, Oleg [2 ]
机构
[1] Ilmenau Univ Technol, Inst Thermodynam & Fluid Mech, D-98684 Ilmenau, Germany
[2] Univ Michigan, Dept Mech Engn, Dearborn, MI 48128 USA
基金
美国国家科学基金会;
关键词
PIPE-FLOW; TRANSITION; INSTABILITY; REYNOLDS; LAYER;
D O I
10.1103/PhysRevLett.110.084501
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present results of a numerical analysis of Hartmann's historical experiments on flows of mercury in pipes and ducts under the influence of magnetic fields. The computed critical parameters for the laminar-turbulent transition as well as the friction coefficients are in excellent agreement with Hartmann's data. The simulations provide a first detailed view of the flow structures that are experimentally inaccessible. Novel flow regimes with localized turbulent spots near the sidewalls parallel to the magnetic field and otherwise laminar flow are discovered. We finally suggest how these predictions can be tested in a transparent fluid using optical flow measurement. DOI: 10.1103/PhysRevLett.110.084501
引用
收藏
页数:5
相关论文
共 33 条
[1]  
Abele Manlio G., 1993, Structures of Permanent Magnets
[2]  
Andreev O., J FLUID MEC IN PRESS
[3]   The Onset of Turbulence in Pipe Flow [J].
Avila, Kerstin ;
Moxey, David ;
de Lozar, Alberto ;
Avila, Marc ;
Barkley, Dwight ;
Hof, Bjorn .
SCIENCE, 2011, 333 (6039) :192-196
[4]   Simplifying the complexity of pipe flow [J].
Barkley, Dwight .
PHYSICAL REVIEW E, 2011, 84 (01)
[5]   Numerical study of turbulent magnetohydrodynamic channel flow [J].
Boeck, Thomas ;
Krasnov, Dmitry ;
Zienicke, Egbert .
JOURNAL OF FLUID MECHANICS, 2007, 572 :179-188
[6]  
Branover H, 1978, Magnetohydrodynamic Flow in Ducts, A Halsted Press Book
[7]   Turbulent-laminar coexistence in wall flows with Coriolis, buoyancy or Lorentz forces [J].
Brethouwer, G. ;
Duguet, Y. ;
Schlatter, P. .
JOURNAL OF FLUID MECHANICS, 2012, 704 :137-172
[8]   Direct numerical simulations of magnetic field effects on turbulent flow in a square duct [J].
Chaudhary, R. ;
Vanka, S. P. ;
Thomas, B. G. .
PHYSICS OF FLUIDS, 2010, 22 (07) :1-15
[9]   Magnetohydrodynamics in materials processing [J].
Davidson, PA .
ANNUAL REVIEW OF FLUID MECHANICS, 1999, 31 :273-300
[10]   Self-Sustained Localized Structures in a Boundary-Layer Flow [J].
Duguet, Yohann ;
Schlatter, Philipp ;
Henningson, Dan S. ;
Eckhardt, Bruno .
PHYSICAL REVIEW LETTERS, 2012, 108 (04)