ܸ ϴ ܿ (Fanno ) 帣 ̻ü ༺ ؼ

(Free Flow) ؼ (ش 긱 ִ ִ )

Ŀ (Free Flow) ؼ

 

 

̻ ü ¸ ǥ ۼϴ , ̿  Ģ ߰ϰ Ǿ, ¸ ǥ ʾƵ Լ Ͽ ¸ ߰ϰ Ǿϴ.

, K(fL/D) P0, T0, W/A, P1, T1, P2c, T2c ̿ Ʒ 谡 Ѵٴ Դϴ.

 

 1) W/A Ա з(P0) ϰ, Ա(0 ) µ(T0) ٿ ݺѴ.

2) P1 Ա з(P0) Ѵ.

3) T1 Ա µ(T0) Ѵ.

4) P2c Ա з(P0) Ѵ.

5) T2c Ա µ(T0) Ѵ.

 

)

P2c T2c ⱸ ܸ( 2) з µԴϴ.

 

 

 

Ģ ̿Ͽ, K(fL/D) (Dimensionless Number) ǥκ ¸ ϰ ֽϴ.

Ʒ ǥ , (Water) ̻ü ؼϴ , ̷ ̻ ü մϴ.

1. ̻ü

ü

: (Water)

: 18

: 1.3

 

2. (Free Flow) Fanno (Dimensionless Number) ǥ

K(fL/D)

dn_W/A

dn_P1

dn_T1

dn_P2c

dn_T2c

1.00000

1.00000

1.00000

1.00000

1.00000

0.0001

0.99994

1.00971

1.00223

0.99994

1.00000

0.001

0.99937

1.03030

1.00691

0.99937

1.00000

0.002

0.99877

1.04250

1.00965

0.99877

1.00000

0.004

0.99758

1.05940

1.01340

0.99758

1.00000

0.006

0.99643

1.07210

1.01620

0.99643

1.00000

0.008

0.99531

1.08262

1.01849

0.99531

1.00000

0.01

0.99420

1.09176

1.02047

0.99420

1.00000

.

.

.

.

.

.

 0.1

0.95435

1.25314

1.05345

0.95345

1.00000

.

.

.

.

.

.

 1

 0.76839

1.54148

1.10502

0.76389

1.00000

.

.

.

.

.

.

10

0.39944

1.76442

1.14001

0.39944

1.00000

.

.

.

.

.

.

20

0.30228

1.79422

1.14442

0.30228

1.00000

.

.

.

.

.

.

30

0.25370

1.80571

1.14611

0.25370

1.00000

.

.

.

.

.

.

40

0.22310

1.81185

1.14701

0.22310

1.00000

.

.

.

.

.

.

50

0.20152

1.81567

1.14757

0.20152

1.00000

1

: , ش K(fL/D) .  , dn_P1 = P1_K(fL/D) / P1_nozzle .

2

: ǥ Fanno Ա ¿ .

3

: ǥ ̻ ü ߷ .

4

: ǥ ̻ ü 񿭺 ޶.

5

: W/A Լ P2c Լ .

6

: T2c Լ K(fL/D) .

3. (Choke Nozzle Flow State)

P0_nozzle

T0_nozzle

W/A_nozzle

P1_nozzle

T1_nozzle

T2c_nozzle

P2c_nozzle

100

1000

9817.83

54.573

869.57

54.573

869.57

bar a

oK

kg/s/m2

bar a

oK

bar a

oK

: ϴ 鿡 2 ǥ .

4. (Free Flow) Fanno

W/A_K(fL/D)

= dn_W/A x W/A_nozzle x P0 / P0_nozzle / (T0 / T0_nozzle)^0.5

P1_K(fL/D)

= dn_P1 x P1_nozzle x P0 / P0_nozzle

T1_K(fL/D)

= dn_T1 x T1_nozzle x T0 / T0_nozzle

P2c_K(fL/D)

= dn_P2c x P2c_nozzle x P0 / P0_nozzle

T2c_K(fL/D)

= dn_T2c x T2c_nozzle x T0 / T0_nozzle

5.  

    ־ :

K(fL/D)

= 10

P0

= 150 bar a

T0

= 500 oK

     :

W/A

= 0.39944 x 9817.83 x 150 / 100 / (500 / 1000)^0.5 = 8319.04 (kg/s/m2)

P1

= 1.76442 x 54.573 x 150 / 100 = 144.435 (bar a)

T1

= 1.14001 x 869.57 x 500 / 1000 = 495.66 (oK)

P2c

= 0.39944 x 54.573 x 150 / 100 = 32.698 (bar a)

T2c

= 1.00000 x 869.57 x 500 / 1000 = 434.79 (oK)

6.  

P0

: Ա з

T0

: Ա µ

K(fL/D)

:

W/A

:

P1

: Ա ܸ з

T1

: Ա ܸ µ

P2c

ⱸ ܸ з

T2c

ⱸ ܸ µ

 


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