, - , t0 w0.
l .
tc. , tc>to. , ( , ). . . , . , , .
gx = g, ( ) z (gy=gz = 0). z l.
. ρgβV, μ{d2wx/dy2). θ= t t0, t0 (, dt= dθ, t0 = const).
1) ( = ∞) θx = θy = 0; wx= w0; wy= 0.
2) ( = 0, 0<= x <=l0, - ∞ < z < +∞)
θ = θc = tc t0 = const; wx = wy= wz = 0.
:
, ;
θ, wx wy, , , ;
w0, t0,l, θ, v, a, gβ ., , , . , .
, , . .
. , . - , l, w0, θ.
X=x/l0, Y=y/l0, Wx=wx /w0, Wy=wy/w0, Θ= θ/θc
x = l0 , y = l0 Y, wx = Wx w0, wy= w0Wy, θ= θcΘ. (3.1)
|
|
(3.1).
l0 2 /a
. (3.1) l2o/(v w0).
, :
, :
, :
1) (=∞) Θ=0, Wx=1, Wy=0. (3.2)
2) (=0, 0<= x < =1). (3.3)
Θ=Θc=1, Wx= Wy=0.
(3.2) (3.3) , , , , θc, θ0 . .
α ⋅l0/λ,