"
y
dv
t
dy
v
y
F
v

dy
dv
dy
dv
�
v
v
v
�
F
"
 � F
A
A
F
�
F
� = F/A A
F
� = .
A
� = AeW/kT k e
A W
dy
dv
ł
Ł
dv/dy
dv
ł = .
Ł
dy
dv dy
dv/dy v(y)
�
ł
Ł
� = �ł.
Ł
�
N/m2�s P a�s
�
� ł
Ł
 L

r
r < R
r L
L
S
tg
t
p2
p1 r F

t

p1 p2
F = "p � S "p = p1 - p2
� � 2ĄrL 2ĄrL
�
"p = p1 - p2
F = "p � Ąr2
2ĄrL
� � 2ĄrL �
"p � Ąr2 = �2ĄrL.
Dv�
Re = ,
�
"pr
D v
� = .
2L
� �
Re
Rekryt = 2100
Rekryt
dv
� = � - ,
dr
dv
dr
r v
dv < 0
�
R
 v(r)
dv "p r
� - = .
Ą"pR4
dr 2L
Q = .
8�L
dv
dr 0
dr
v(r) v(r)
r
�
r 0 < r < R
dv
dr
v(r)
"p
v(r) = (R2 - r2),
4�L
"p
R2
4�L
r = R
v
dr dt
h = vdt
dS
h
r
dt
dV = dS � h dS
dS = 2Ąrdr h =
vdt dt
dS = 2Ąrdr
dt
dV = dS � h = 2Ąrdrvdt
Q [m3/s]
v
"p = �gh0
dV
dQ a" = 2Ąrdrv.
dt
r
0 R
R
Q = 2Ąrvdr,
0
d
r
 h0 t
m
m1
T
t
m2 m = m2 - m1
m
�p h0
h0
"p = �gh0,
�
g
ĄR4�gh0
� = .
8QL R = (4, 4 ą 0, 1) � 10-4 m
L = (1, 5 ą 0, 01) � 10-1 m
Q
g = (9, 81 ą 0, 01) m/s2
t
� = (9, 97 ą 0, 01) � 102 kg/m3
V
m, t, h0
Q = ,
t
�w
ĄR4�g h0t
� = .
8L V
"�w
m
V = ,
�w
�
T
ĄR4�2g h0t
� = .
8L m
 V
ĄR4"p
V = tc,
8�cL
ĄR4"p
V = tw,
8�wL
tc V tw
V
"p "p
�c �w
h
"p = �cgh,
"p = �wgh.
ĄR4�cgh
V =
8�cL
ĄR4�wgh
V = .
8�wL
�ctc �wtw
=
�c �w
�c �c tc
= a" �rel.
�w �w tw
�rel
V
tc tw
�c
�w
�c
�rel = .
�w
�c = �rel�w.
�w
tw
"�c
�c tc
�c = �w
�w tw
�c
tc
o
20 C �alkoholu �
�rel
�w = (9, 97 ą 0, 01) � 102 kg/m3
�c = �alkoholu = (7, 88 ą 0, 04) � 102 kg/m3
�w T
�w
� � a"
103 a" 103
o
�w P a�s