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THE NONSTATIONARY DYNAMO PROJECT (water – Ga – Na experiments). Peter Frick Sergey Denisov Stanislav Khripchenko Vitaliy Noskov Dmitriy Sokoloff Rodion Stepanov Igor Shardakov Andrey Sukhanovskiy. Laboratory of Hydrodynamics, Institute of Continuous Media Mechanics, Perm, RUSSIA. - PowerPoint PPT Presentation
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THE NONSTATIONARY DYNAMO PROJECT(water – Ga – Na experiments)
Peter FrickSergey DenisovStanislav KhripchenkoVitaliy NoskovDmitriy SokoloffRodion StepanovIgor ShardakovAndrey Sukhanovskiy
Laboratory of Hydrodynamics,Institute of Continuous Media Mechanics,Perm, RUSSIA
DYNAMO IN LABORATORY
number Prandtl magneticP
number Reynolds magneticRm
number Reynolds Re
mm
m
UL
UL
10030Rm*
)(10P 5 Nam
STATIONARY DYNAMO EXPERIMENTS
Riga - cylindrical crew dynamo (2000) Karlsruhe – two-scale dynamo (2000) Cadaraches – VKS2 (Von Karman flow in a
cylinder) Grenoble – spherical Couette-Taylor Madison – S2T2 flow in a sphere Mariland – Couette-Taylor flow in a 3m
sphere
SCREW DYNAMO IN A BRAKED TORUS
Energy accumulation Pulse screw flow Toroidal geometry
Water A Water B Ga Na Radius of the torus, (m ) 0.103 0.154 0.088 0.4 Radius of the cross-section, )(m 0.027 0.04 0.023 0.12
Mass of the channel, )(kg 5.6 24.5 15.3 300
Moment of inertia, )( 2mkg 0.072 0.58 0.132 50
Mass of fluid, )(kg 1.25 4.86 5.58 115
Moment of inertia, )( 2mkg 0.018 0.15 0.045 20
Frequency of rotation, .)..( SPR 50 30 50 50
Maximal velocity, )/( sm 32 29 27 140
Effective Re 510 5105 5105 6104 Effective Rm - - 1.5 40 Minimal braking time, )(s 0.1 0.18 0.05 0.1
Energy of rotation, )(J 3104.4 3103.17 3106.6 610 Dissipation power, )(Wt 4104.4 4107.8 5103.1 710
Temperature, )( Co 20 20 20 120
EXPERIMENTAL SET-UPS
WATER EXPERIMENT
MHD channel: thickness of the wall
)0cosh()cosh(
)cosh()cosh()(
rrv
0 5 10 15 20 25 30x
30405060708090
100
mR
*
d=1
d=0.3
d=0.1
d=0
d - thickness of shell
- parameter of velocity profiles
MHD channel: conductivity
0
10
20
30
40
50
60
70
0 2 4 6 8 10
d=0.05rd=0.15rd=0.30r
crRm
fluidwall
18
NONSTATIONARY SCREW DYNAMOnumerical simulation
1.
1.5
2.
t
h
t
h
downstream
upstream t
v
rd
fluidshell
15.0
5/
NONSTATIONARY SCREW DYNAMO2D-numerical simulation
)( 22yx hh
Channel cross-section downstream the diverter
t=0.05s t=0.1s t=0.145s t=0.385s
NONSTATIONARY SCREW DYNAMO3D-numerical simulation
Cylinder under periodicalboundary conditions:- diverter at the top,- (red),- (blue),- magnetic field lines (green)
sTb 1.0
0zh0zh
together with W.Dobler
NONSTATIONARY SCREW DYNAMO3D-numerical simulation
Wolfgang Dobler and Rodion Stepanov
Rm = 40
)(
2
58.5
0225.0
0875.0
max
0
0
ACandDC
kAI
kgM
mr
mR
Ga
GALLIUM EXPERIMENT
Local transverse field in Ga flow
1 – channel 5 - box2 – diverter 6 – motor
3 – magnet 7 - brake 4 – 3D probe
Solid rotation
G
Bz
By
Bx
G
Bz
By
Bx
Imposed field
Induced field
Induction mechanism
Solid-like rotation
Local rotation
Time evolution
t
G
Bz
By
Bx
t
G
Bz
By
Bx
no diverters right diverters
\phi=90 degr.
empty channel Ga without diverters
Right diverters Left diverters
no diverters right diverters left diverters
t=0.08s
t=0.15s
t=0.3s
Symmetries
Decay
t
E B
Kinetic energy(water experiment)
Magnetic energy(gallium experiment)
Magnetic Field Pulsations
0 0.5 1 1.5 21.
5.9
10.8
15.7
20.625.530.435.340.245.150.
1 5 10 50 100 500Hz
0.00001
0.0001
0.001
0.01
0.1
1
F
2.
Wavelet plan
Pulsations energy in the band 10<f<40 Hz
0J
ALPHA-EFFECT (Ga-experiment)
f
0~ BJ
40 10/ BB
0J
0B
WELCOME !Contact persons:
Peter Frick [email protected] Stepanov [email protected]
Workshop website: http://pdd2005.icmm.ru
