select one subject!!
DESCRIPTION
Formula library. Chapter 2. Chapter 3. Chapter 1. Chapter 4. Select one subject!!. Chapter 5. Chapter 6. Chapter 7. Chapter 8. Appendix. Nomenclature. Chapter 1. Middling and relations between rates and velocities. Nomenclature. where. Bla bla bla bla bla bla bla. pdf. - PowerPoint PPT PresentationTRANSCRIPT
Forfatter Fornavn
EtternavnInstitusjon
Select one subject!!
Select one subject!!
Formula library
Chapter 1
Chapter 5
Chapter 2
Chapter 4
Chapter 6
Nomenclature
Chapter 8
Chapter 7
Appendix
Chapter 3
UpHome
Developers FAQ
References Summary
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Appendix
Nomenclature
Back Next
Chapter 1
A
dQQ
darudQ drrda 2where
A
drrruQ 2
AQU /
Rr
r
drrruA
U0
21
Bla bla bla bla bla bla
bla
Nomenclature
Middling and relations between rates and velocities
UpHome
Developers FAQ
References Summary
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Appendix
Nomenclature
Back Next
Chapter 2 Definitions and basic quantities
Laplace equation
Laplace equation
Young-Laplace
Young-Laplace
Two phase velocity
Two phase velocity
Two phase fluid
properties
Two phase fluid
properties
Friction Friction Pressure drops
Pressure drops
Laplace 1749-1827
UpHome
Developers FAQ
References Summary
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Appendix
Nomenclature
Back Next
Chapter 2 Laplace equation
210
11
RRppi
Capillareeffect
gRH
GL
cos2
G
R
H
L
R2
R1
Nomenclature
Bla bla bla bla bla bla
bla
UpHome
Developers FAQ
References Summary
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Appendix
Nomenclature
Back Next
Chapter 2 Young-Laplaces equation
OIL
WATER
GAS
WG
OG
WO
2
1
Horisontal komponenter:Vertikal komponenter:
21 coscos OGWOWG
21 sinsin OGWO
Nomenclature
Bla bla bla bla bla bla
bla
UpHome
Developers FAQ
References Summary
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Appendix
Nomenclature
Back Next
Chapter 2
Superficial velocity
A
qU
A
qU
GGS
LLS
Phase velocity:
G
GG
L
LL
A
qu
A
qu
Slip velocity: Silp relation:
LGS uuu L
G
u
uS
Noslip relation
GL
GG
GL
LL
q
q
Two phase velocity
Nomenclature
Bla bla bla bla bla bla
bla
UpHome
Developers FAQ
References Summary
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Appendix
Nomenclature
Back Next
Chapter 2
True relation From phase velocity (true velocity)
GL
LLL AA
A
A
A
G
GG
L
LL
A
qu
A
qu
GSLS
LS
GL
LL
US
U
U
qS
q
q
11
Two phase velocity
Nomenclature
Bla bla bla bla bla bla
bla
UpHome
Developers FAQ
References Summary
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Appendix
Nomenclature
Back Next
Chapter 2 Two phase fluid properties
Density
GGLLm Viscosity
LGGGm )1(
Pressure drop (total)
= + +
dx
dp dp
dx f
dp
dx h
dp
dx a
Nomenclature
Bla bla bla bla bla bla
bla
UpHome
Developers FAQ
References Summary
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Appendix
Nomenclature
Back Next
Chapter 2
Re
16Mf
UDUD
Re
Bla bla bla bla bla bla bla
nM Cf Re
Laminar flow
turbulent flow
2
2
14Uf
Ddx
dp
Friction
Nomenclature
UpHome
Developers FAQ
References Summary
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Appendix
Nomenclature
Back Next
Chapter 2 Friction
Colebrook-White frictionfactor for turbulent flow in rough pipes
fDf Re
7.182log 274.1
110
Hydrostatic pressure gradient
P yh ( ) g iy
cos g
hdx
dpor
Acceleration pressure drop
dx
dU U
adx
dp
Nomenclature
Bla bla bla bla bla bla
bla
UpHome
Developers FAQ
References Summary
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Appendix
Nomenclature
Back Next
Chapter 2Two phase homogeneous model
– friction, hydrostatic and acceleration
2mixm U
2
1Re
4
n
mf
CDdx
dp
cos g mhdx
dp
dx
dU U mix
mix
madx
dp
Nomenclature
Bla bla bla bla bla bla
bla
UpHome
Developers FAQ
References Summary
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Appendix
Nomenclature
Back Next
Chapter 3 Velocity profil
Power-law turbulent
]1[)( nmax R
ruru
Viscous thin layer
y
yu
u
uu
*
*
Turbulent profil far from the wall )
*lg(76.55.5
*
)(
uy
u
yu
Bernouilli: constpu 2
2
1
Nomenclature
Bla bla bla bla bla bla
bla
UpHome
Developers FAQ
References Summary
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Appendix
Nomenclature
Back Next
Chapter 4
Taitel and Dukler model
Taitel and Dukler model
Liquid holdup equation
Liquid holdup equation
Regime limits in horizontal
flow
Regime limits in horizontal
flow
Regime limits in vertical flowRegime limits in vertical flow
Taitel
Flow regimes
UpHome
Developers FAQ
References Summary
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Appendix
Nomenclature
Back Next
Chapter 4
gGS
iS
LS
LhDGA
A
GuLu
G
L i
Liqiud: 0sin
gASS
dx
dpA LLiiLL
LL
Gas: 0sin
gASS
dx
dpA GGiiGG
GG
Taitel and Dukler model
Nomenclature
Bla bla bla bla bla bla
bla
UpHome
Developers FAQ
References Summary
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Appendix
Nomenclature
Back Next
Chapter 4 Liquid holdup equation
04)]~
~
~
~
~
~(~)
~~[(]~
~~)
~~[(
21
222 YA
S
A
S
A
SuDu
A
SuDuX
F
G
i
L
i
G
GG
mGG
F
L
LL
nLL
GS
LS
dx
dPdx
dP
X)(
)(2
GS
GL
dx
dPg
Y)(
sin)(
Lockart-Martinelli parameter:
Nomenclature
Bla bla bla bla bla bla
bla
UpHome
Developers FAQ
References Summary
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Appendix
Nomenclature
Back Next
Chapter 4 Regime limits in horizontal flow
Stratified smooth stratified wavy
Stratified smooth slug
Slug dispersed bubble
Slug annular flow
2/1cos)(4
LG
GLLG us
gu
withS
AgCu
iG
GGLG
2/12 )
cos)((
LL h
D
hC
~112
2/1)(cos4
LLi
GLGL fS
gAu
35.0~
Lh
Nomenclature
Bla bla bla bla bla bla
bla
UpHome
Developers FAQ
References Summary
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Appendix
Nomenclature
Back Next
Chapter 4 Regime limits in vertical flow
Dispersed bubble slug
Pos.1 - low Umix (mediocre bubbles):
4/12
]
[ 15.10.3L
GSLS
gUU
GSLS UU 92.0
)]
)([
)/((0.4 446.0
072.0
089.0429.0
L
GL
L
LGSLSmix
gDUUU
36.4])(
[ 4/122
GL
L gD
Churn slug )22.0(6.405.35~
gD
U
gD
uTu
D
ll mixG
GE
E
Slug annular 1.3)]([ 4/1
2/1
GL
GGS
g
U
Pos.2 - high Umix (small bubbles):
DB “breaks”
Existens of DB i thin pipes (minimum
D):
Nomenclature
Bla bla bla bla bla bla
bla
UpHome
Developers FAQ
References Summary
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Appendix
Nomenclature
Back Next
Chapter 5 Calculation of fluid fractions
In general
GSLS
GSG UUS
U
GSLS
LSL
US
U
U
1
Martinelli and Nelson2
11
LG
Liquid fraction in slugs
39.1]115.0[1
1
mixLS U
Nomenclature
Bla bla bla bla bla bla
bla
UpHome
Developers FAQ
References Summary
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Appendix
Nomenclature
Back Next
Chapter 6 Beggs and Brill model
Acceleration pressure drop (due to gas expansion)
Total pressure gradient
dx
dP
P
UU
dx
dP GSmixs
a
K
hf
E
dx
dP
dx
dP
dx
dP
1
See fig. 6.5 , in the compendium
Nomenclature
Bla bla bla bla bla bla
bla
UpHome
Developers FAQ
References Summary
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Appendix
Nomenclature
Back Next
Chapter 6 Lockhart & Martinelli model
LSLSGSGSf dx
dP
dx
dP
dx
dPC
dx
dP
dx
dP
GS
GGSf dx
dP
dx
dP XX C
dx
dP
221
LSL
LSf dx
dP
dx
dP
X
X C
dx
dP
2
2
111
GS
LS
dx
dP
dx
dP
X
2
Liquid regime Gas regime Subscript C
Turbulent Turbulent tt 20
Viscous (lam.) Turbulent vt 12
Turbulent Viscous (lam.) tv 10
Viscous (lam.) Viscous (lam.) vv 5
Introdusing the two phase multiplicator
where is the Lockhart & Martinelli parameter
and C is the parameter given by
Nomenclature
Bla bla bla bla bla bla
bla
UpHome
Developers FAQ
References Summary
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Appendix
Nomenclature
Back Next
Chapter 7 Measurement techniques
Gammasource
Collimator
I0 I
DetectorCounter
Gas-liquidmixture
Pipe Computer
Gas and liquid parallell with the beam:
Gas and liquid normal on the beam or the mixture:
LG
LG II
II
)/ln(
)/ln(
LG
LG II
II
Nomenclature
Bla bla bla bla bla bla
bla
UpHome
Developers FAQ
References Summary
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Appendix
Nomenclature
Back Next
Chapter 8 Non stationary flow and waves
Severe slugging criteria
Sound velocity in two phase
GSLL
pLS U
Lg
PU
)1(sin
2/1
22
LL
L
GG
G
L
L
G
G
S
cc
c
2/1
22
LL
L
GG
GLLGGH cc
c
Nomenclature
Bla bla bla bla bla bla
bla
UpHome
Developers FAQ
References Summary
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Appendix
Nomenclature
Back Next
Appendix
pdf pdf
Appendix A Appendix B
Nomenclature
This site is under
construction – please see the
pdf-files attatching
UpHome
Developers FAQ
References Summary
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Appendix
Nomenclature
Back Next
– viscosity –
– density –
– Velocity –
– diameter –
– Kinematic viscosity –
– Reynolds number –
– friction factor –
– Shear stress –
– velocity –
– Area –
– Circle length –
– angle –
– gravity constant –
Nomenclature
UDRe
MfuASg
"0"/
// 3
smkg
msmmkg
smkg /
3/ mkg
sm /
smmkg
smkg/
/
/ 23
m
2/ smkg
sm /
2m
2/ sm