C v=qs

qs+ql

qs=ROPπ d2

2

4

υslip=√ 4 gd p(Ss−1)3CD

CD=24ℜp

+ 6

1+ℜp0.5

+0.4

ℜp=ρlυslip

2

K (υslip

d p)n

υslip=¿ 1

A ( ql

1−C r

−q s

C r)¿

υslip A Cr2+[υslip A−(qs+qt ) ]Cr+qs=0

A=π4

(d22−d1 , dp2 )

pbh=patm+0.052 [ρsC r+ρl (1−C r ) ]TVD+∆ p f

∆ p f=∆ p f , adp+∆ pf ,adc

ῡ= q

2.448(d22−d1 ,dp

2 )

q=qs+q l

N ℜ=109000ρ ῡ2−n

K ( 0.0208(d2−d1 ,dp)

2+ 1n )

n

d p f

dL= K ῡ2

144000(d2−d1 , dp)1+n ( 2+ 1n0.0208 )

n

∆ p f , adp=d pf

dL∆ L

ῡ= q

2.448(d22−d1 ,dc

2 )

N ℜ=109000ρ ῡ2−n

K ( 0.0208(d2−d1 ,d c)

2+ 1n )

n

1√ f

= 4n0.75

log(Nℜ f1−n2 ¿)−0.395

n1.2¿

d p f

dL= fρῡ2

21.1(d2−d1 , dc)

∆ p f , adc=d p f

dL∆ L

pph=patm+0.052 ρTVD+∆ p f , adp+∆ p f ,adc