13D API Hydraulics Equations

Hydraulics Equations - API RP 13D Pipe Flow log n p = 3 . 32 log

=

Kp

Vp

=

  R 600 600

n a = 0 . 657 log

 R 300 300

np

 K a=

0.408 Q

D

 μep =100 K  p

 N Re =

Va

2

  

928

96V  p

n p−1

3n p 1

 D

4n p



50 1. 75 − log log n p

=

 D 2− D 1

 D  D

2

NRep

− D 1

   na −1

2n a 1

na

3n a

 V 

a

ρ

 μ ea

Laminar

16

 

(NRep < 2,100)

}

f p

=

a=

a NRep

b

b=

7

2  dP   = f p Vp ρ     dL  dp 25.81D

 

=



144 V a

f a

=

f a

=

24 NRea

Turbulent

log log n  p 3.93

 ΔP   ΔP  Nozzles

− D12

2

a

Turbulent

 ΔP dp=

D2

928

(NRep < 2,100)

b=

0.408 Q

 N Re =

f p

 R 3

na

170 .2

 μ ea =100 K a

D V  p ρ

Laminar

a=

=

  R 100 100

5.11 R 100

n p

 μ ep

 p

p.3

Annular Flow

5.11R 600 1,022

-

dP  dL

log log n a 3.93 1. 75 − log log n a 7

  dP  dL

=

a

  f  a V 

 

dp

a2

a NRea

b

ρ

25.81  D 2− D 1 

 ΔP   ΔP a =

 ΔLdp

}

50

dP  dL

a

 ΔL  ΔL a

156 ρ Q 2



 D

2  D 2  D 2  N1  N2  N2  N3  N3



2

Slip Velocity - API RP 13D n S = 0 . 657 log

  R 100 100  R 3

KS

=

 

5.11R100 170.2

nS

S = γ 

D

12 VS Dp 2

n −1 S µ eS = 100 K S γ  S

 

Vs

= 0.01344  es   1 + 16,465 Dp  p − 1  p      ρ    µes    Dp ρ    p.3

− 1      HCJ May 30, 2002