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Table 3. Irreducible and full set of independent orthogonal dimensionless parameters in the `velocity normalised basis'
Symbol

M
Ma

Name Mach number Magnetic Mach (Mach ­ AlfvÈn) Strouhal Trieste numbers (set) "Velocity-emission"

Formula / Definition

Signifiance Temperature

Governing MHD equations with dissipation and radiation

v v

c

s

S

V vt x

Magnetic field and currents
A

Time Openness degree of the object against energy, momentum and mass fluxes Mass density

Tr
Ve

Ratio of internal and boundary crossing fluxes

( v) 0, t

(1)

E kin E at

x v ra d

{

v 1 ( v ) v} p [[ B ] B ] t 4
vis co u s

(2)

F
Length Gravity

F

g r a vity

0

Kn

Knuden numbers (set) Froude Faraday number


v

x

Fr F

2

gl 1 A c t

Electric fields and charges



j x c ct

T 1 v2 ( u v 2 ) ( vi w vi vk ik t xi xi 2 2 1 c eikl elmn vm Bk Bn eikl jk Bl) L A 4 4

(3)



· · : , ,


Governing MHD equations with dissipation and radiation

( v) 0, t

(1)

{

v 1 ( v ) v} p [[ B ] B ] t 4
vis co u s

(2)

F

F

g r a vity

0

T 1 v2 ( u v 2 ) ( vi w vi vk ik t xi xi 2 2 1 c eikl elmn vm Bk Bn eikl jk Bl) L A 4 4

(3)



· · · · · · · · · ·

, ( 3-10 ).



Table 3. Irreducible and full set of independent orthogonal dimensionless parameters in the `velocity normalised basis'
Symbol

M
Ma

Name Mach number Magnetic Mach (Mach ­ AlfvÈn) Strouhal Trieste numbers (set) "Velocity-emission"

Formula / Definition

Signifiance Temperature

v v

c

s

S

V vt x

Magnetic field and currents
A

Time Openness degree of the object against energy, momentum and mass fluxes Mass density

Tr
Ve

Ratio of internal and boundary crossing fluxes

E kin E at

x v ra d

Kn

Knuden numbers (set) Froude Faraday number


v

x

Length Gravity

Fr F

2

gl 1 A c t

Electric fields and charges



j x c ct



· « » , . : ­ . , , 7. 2 2 2 2 2 2 2 = 128.

·

· : ­ ­ . 3 3 3 3 3 3 3 .



.......


?
· - ( ) . · « ». , · ? ..



(1)
· . · . «». · , . - , - . · . . . · . . · ( ) ()


(2)
· , . · . · , « » . . ­ , . · . · , . · . · .



· «». · ­ , , , . · .



· , - . · , . · .



· , , , , , , , , , « », «», «», , «» , «», , , , , , , , , , ..



· (~6) . Sheeley and Wang. · ~ 2,5-3.5. · , -. · ~0,1.



· (, ) ( 0 1)? · ( « »? · ?



· , .. , , . · .


­
· · · · · · « » 28 1945 . V~c E/B ~ r/t . . . . . .



· , . .


«»
· , « ». · .



· 21 2005 . , . · . · :



· . · 1997 400 . 1972. · «» .





: +




I.S. Veselovsky, and O.A. Panasenco, Coronal mass ejection and solar flare initiation processes without appreciable changes of the large-scale magnetic field topology, Advances in Space Research, Volume 37, Issue 7 , pp. 13051312, 2006. DOI: 10.1016/j.asr.2005.03.084




I.S. Veselovsky, and O.A. Panasenco, Coronal mass ejection and solar flare initiation processes without appreciable changes of the large-scale magnetic field topology, Advances in Space Research, Volume 37, Issue 7 , pp. 13051312, 2006. DOI: 10.1016/j.asr.2005.03.084