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1

1

ptot,j A A

aj 2 pstat AA

pdin,j =ptot,j pstat=

2v2j ,

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= 1.2 kg/m3

2 = 20

m= 1000 kg/m3

pdin,j = (m

) g hs,j sin 2

.

vj =

2

m

g hs,j sin 2 .

D

i= 1

i= 5

2

A

A

vj(r)

aj

ptot,j

pst

A

A

a [mm]

hs,j

m

r

2

VDI 2044

ai=1

2(1

1

2i 1

2n ) D,

n i = 1, . . . , n

2

j

ai/d 1 ai/d

n= 5

j = 1, . . . , 2n

vsr = 1

10

10j=1

vj .

V

Re

V =vsrD2

4 , Re =

vsrD

,

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D= 47 mm = 14 106 m2/s

hs,j

3

Re

ajD

1

12

0 aj/D

vj

3

V

1

hm

5

2

m

hm

pa

v

hm

V

0 4 5 V hm

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V

h15

6

7

1234567 8 9

V

h15 hi1

h15

V

0

6

7

V h15

1

1

i

i

i= (2 . . . 9)

p1

+v21

2 =

pi

+v2i

2 +Y1>i,

Y1>i

v1d21

4 =vi

d2i

4 .

i

pi1= ( m) g hi1 .

vi= 4 Vj

d

2

i

.

Vj(j = 1, 2, 3, 4)

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di(i = 1, 2, . . . 9)

xi

di[mm] 43.6 41.4 39.1 36.9 34.7 36.9 39.1 41.4 43.6xi[mm] 50 75 100 125 150 175 200 225 250

0 xi

vi

xi0

pi1

8 9

ht

DL

t

v

m

2

1

0 Re

10 11 Re

10

1

2

p= L

D

v2

2.

p= p1 p2= (m )g htsin t.

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=2 g (m ) D htsin t

L v2 ,

D= 47 mm

1 2 L= 1696 mm

t = 10

v hm

hm V hm 2

v= 4 V

D2 .

11

v

pk

k hk

1

2

v

sk

sk

hsk

1

2

12

13

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pk= (m )g hk sin k,

psk= (m )g hsk sin sk.

k= 20

hk

sk= 30 hsk

pk = kv2

2,

psk= skv2

2.

k=2(m ) g hk sin k

v2 , sk=

2(m ) g hsk sin sk v2

.

k Re sk Re

Re

k, sk

0

14

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= 0

15

3045

6075

90

hv

m

D

L1

v1

1

2

2

15

hv 1 2

p= (m ) g hv.

1

2

p1+v2

2 =p2+

v2

2 +(v+

L

D1)

v2

2,

=p= p1 p2= (v+L

D1)

v2

2.

v

v=2 (m ) g hv

v2

L1D

,

L1= 1300 mm 1 2

D= 47 mm

4

v

16

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[]

v

0

16

lnp

1

1

D1 D2

2

2

17

1

2

p= (m ) g hnp sin np,

np= 10 hnp 1 2 lnp

p1

+v21

2 =

p2

+v22

2 +np

v22

2.

1

2

v1D2

1

4 =v2

D22

4 .

np=2( m) g hnp sin np

v22

+

D2D1

41 ,

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D1= 47 mm 1

D2= 72 mm 2

v2

v2= 4 V

D22

.

np Re

Re

np

0

18

hsu

su

su

V

D1

D2

1

2

19

1

2

p= (m ) g hsu sin su.

1

2

p1

+v21

2 =

p2

+v22

2 +su

v22

2.

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1

2

v1D2

1

4 =v2

D22

4 =v1=v2

D2D1

2

.

su=2(m ) g hsu sin su

v22

+

D2D1

4

1 ,

su= 10

D1= 72 mm 1

D2= 42 mm 2

v2= 4 V

D22

su Re

Re

su

0

20

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