.


:




:

































 

 

 

 


.

i . , () i :

[ dV]= dV

+div( )=

n-:

+div(Σ )] = = > .. .

=0- .

:

== = => = = ρ

= - i

+div( )-div( )+ div( )= +div[ ( + div( )= + div( )+div = - i .

:

+ div( )+divΣ

𝛴 = - =0; Σ

:

+ div =0

+div( ρ)=0 -

+ div( )= - div

= => = ( ). :

ρ[ + grad ]+ [ +div ]=- div = -div

=[ ]=

=f(T,P,U, )- . i-.

- i-.

=ρ[ ( )∇ + ( ) ∇ + ( ) ∇ + ∇U+]

=ρ[ + ∇T+ ∇P+ ∇U]=ρ[∇ + ∇T+ ∇P+ ∇U], - , , , ; - , , - i

= ; = ; =

i , , , ..

ρ[ + grad ]= -ρdiv[ + ∇T+ ∇P+ ∇U] - i

+ + + = - [ + + ] - i ( ).

() :

div(- grad )=0

- grad =const-

=- grad - i

=- grad - i

=𝛽△ = - grad =- => 𝛽 = - . . i- .

.

+

: , xi0, ω0, z0- .

+

:

+

Fo = - ( );

Pe= - ( ) Pe= =Re Pr, Pr= - .

Po= - () . .

+=-

III : Bi= .

β[xi(τ,0)-xi]= ; β [xi(τ,0)-xi]= ; Bi[xi(τ,0)-xi]=

 



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