Mechanika płynów II z odsysaniem


55I 55I 55I 55I 1 55] 5 5 55I 55I

odsysanie Płyta: 5K: + 5I5e + 5I5f + 5I5g = 5K - " + 5"5I5e + " (5Q5V5c5I) |5L: + 5I5e +
55a 55e 55f 55g 5 55e 3 55e 55a 55e
55I 55I 1 55] 5 5

5I5f + 5I5g = 5L - " + 5"5I5f + " (5Q5V5c5I)| 5I5e = 5b = 5b(5f); 5I5b = 5I(5f); 5] = 5](5f)| wektor5I =
55f 55g 5 55f 3 55f
55I5e 55I5f 5Q5b 5Q25b 5Q5b

5V5b + 5W5c + 5X5d | z r. ciągłości, + = 0 5I(5f) = 5I5\ = 5P5\5[5`5a | 5I5\ = 5c ; 5I5\ = 5c"5b =
55e 55f 5Q5f 5Q25f 5Q5f
5Q 5Q5b
5Q(5Q5b)
525b 525b 525b 525b 5Q5b 5Q25b 5Q 5Q5b 5I5\ 5Q5b 5Q5b 5I5\ 5I5\ 5Q5b
5Q5f5Q5f 5Q5f
5c (55e2 + + ) = 5c | 5I5\ = 5c \: 5c| (5Q5f) = \6" | = \" 5Q5f| = 5Q5f ! =
5Q5b 5Q5b
55f2 55g2 55f2 5Q5f 5Q25f 5Q5f 5c 5Q5f 5Q5f 5c 5c 5Q5f
5Q5f 5Q5f
5I5\ 5I5\ 5I5\ 5I5\ 5I5\
5Q5D 5I5\ 5I5\ 5Q5b
5f+56 5f 5f 5f 5f
5c 5c 5c 5c 5c
5D| = 5Q5f\ +" | 5Y5[5D = 5f + 561 | 5D = 5R ; 5f = 5R5P; 5R = 5615R | = 5615R 5Q5b = 5615R 5Q5f\
5D 5c 5c 5Q5f
5I5\
5c 5c
5c
+" |5b = 561 5I5\ " 5R + 562 | war. brzeg. 5b(5f = 0) = 0|5b(5f ") = 5b|5b(0) = 561 5I5\ + 562 = 0 |5b(5f) =
5c -|5I5\|
5f
5c
561 5R + 562| 5b(") = 5b = 562 |
-|5I5\|
5c |5I5\| |5I5\| |5I5\| 5c -|5I5\|
5f
5c
układ równań: 1) 5b(0): 561 + 562 = 0 ; 2) 5b("): 5b = 562| 561 = 562 5c = 5b | 5b(5f) = -5b 5R +
-|5I5\| 5c 5c |5I5\|
-|5I5\|
55b 55b |5I5\| -|5I5\|
5f
5c 5c
5b = 5b (1 - 5R ) 5[5N5]5_. 5`5a5f5P5g5[5R: 5 = 5b = 5 5b = -5 5c 5R = -5 5b|5I5\|
55f 55f 5c
55I 55I 55I 55I 1 55]
odsysanie Płyta: 5K: + 5I5e + 5I5f + 5I5g = 5K - " + 5"5I5e +
55a 55e 55f 55g 5 55e
5 5 55I 55I 55I 55I 1 55] 5

" (5Q5V5c5I) |5L: + 5I5e + 5I5f + 5I5g = 5L - " + 5"5I5f + "
3 55e 55a 55e 55f 55g 5 55f 3
5

( ) ( ) ( )
(5Q5V5c5I)| 5I5e = 5b = 5b 5f ; 5I5b = 5I 5f ; 5] = 5] 5f | wektor5I = 5V5b +
55f
55I5e 55I5f 5Q5b

( )
5W5c + 5X5d | z r. ciągłości, + = 0 5I 5f = 5I5\ = 5P5\5[5`5a | 5I5\ =
55e 55f 5Q5f
2
5Q25b 5Q5b 525b 525b 525b 5Q5b
5c ; 5I5\ = 5c"5b = 5c (5 5b + + ) = 5c | 5I5\ =
5Q25f 5Q5f 55e2 55f2 55g2 55f2 5Q5f
5Q 5Q5b 5Q5b
5Q(5Q5f)
5Q25b 5Q 5I5\ 5Q5b 5Q5b 5I5\ 5I5\ 5Q5b
5Q5f5Q5f
5c \: 5c| (5Q5b) = \6" | = \" 5Q5f| = 5Q5f ! =
5Q5b 5Q5b
5Q25f 5Q5f 5Q5f 5c 5Q5f 5Q5f 5c 5c 5Q5f
5Q5f 5Q5f
5I5\ 5I5\
5I5\ 5I5\
5f+56 5f
5c 5c
5D| 5Q5D = 5Q5f\ +" | 5Y5[5D = 5f + 561 | 5D = 5R ; 5f = 5R5P; 5R =
5D 5c 5c
5I5\ 5I5\ 5I5\ 5I5\
5Q5b 5c
5f 5f 5f
5c 5c 5c 5c
5615R | = 5615R 5Q5b = 5615R 5Q5f\ |5b = 561 5I5\ " 5R + 562 | war.
+"
5Q5f
5c
( ) | ( ) | ( )
brzeg. 5b 5f = 0 = 0 5b 5f " = 5b 5b 0 = 561 5I5\ + 562 =
-|5I5\|
5f
( ) 5c ( )
0 |5b 5f = 561 5c 5R + 562| 5b " = 5b = 562 |
-|5I5\|
( ) ( )
układ równań: 1) 5b 0 : 561 5c + 562 = 0 ; 2) 5b " : 5b = 562| 561 =
-|5I5\|
-|5I5\|
|5I5\| |5I5\| 5c
5f
( ) 5c
562 |5I5\| = 5b | 5b 5f = -5b 5R + 5b =
5c 5c 5c |5I5\|
-|5I5\| -|5I5\|
55b 55b |5I5\|
5f
5c 5c
5b (1 - 5R ) 5[5N5]5_. 5`5a5f5P5g5[5R: 5 = 5b = 5 5b = -5 5c 5R =
55f 55f 5c
-5 5b|5I5\|


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