.
i . , () i :
[ dV]= dV
+div( )=
n-:
+div(Σ )] = = > .. .
=0- .
:
== = => = = ρ
= - i
+div( )-div( )+ div( )= +div[ ( + div( )= + div( )+div = - i .
:
+ div( )+divΣ =Σ
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]=