SLIDE 1 Mult ltipha hase F Flo low M Models ls i in S n STAR-C
Simo mon L n Lo
SLIDE 2 Gr Granu nula lar f flo low
– Mixing of multiple particle phases
Mult lti-c
nent nt b boili ling ng
– Binary mixture evaporation
Popula lation b n bala lanc nce
– Adaptive MUSIG
Mult ltipha hase r rhe heolo logy y
– Suspension – Emulsion
Eule lerian M Mult ltipha hase F Flo low M Models ls i in S n STAR-C
SLIDE 3 DE DEM A Approach – h – M Mixing ng a and nd C Coating ng o
Particle les
SLIDE 4 Mult lti-p
le R Rotary Dr y Drum – m – P Particle le s segregation n
3 3 mm 4 mm 4 mm 5 mm 5 mm 6 mm 6 mm mm Particle le s segregation i n in t n trans nsverse p pla lane ne o
drum m
SLIDE 5 EMP A Approach - M h - Mult lti-p
le R Rotary Dr y Drum m
Average p particle le v velo locity v y vectors i in t n trans nsverse p pla lane ne o
drum m Poly ly-d
particle les – – 3 3mm, 4 mm, 4mm, 5 mm, 5mm, 6 mm, 6mm. mm.
SLIDE 6
Streamwise velocities at x=0 on the transverse plane, rotating speed 11.6rpm
Multi-particle Rotary Drum – P Particle le v velo locity
SLIDE 7 Mult lti-c
nent nt b boili ling ng mo model l
Evaporation o n of mu mult lti-c
nent nt f flu luids. . – Applications refinery and distillation processes.
SLIDE 8
Evaporation o n of a a b bina nary mi y mixture
SLIDE 9
Evaporation o n of b bina nary mi y mixture: P : Pent ntane ne & & Do Dodecane ne
Heat Heat Ga Gas Li Liqui uid d Te Temperature Vo Void fraction n x P Pent ntane ne x Do Dodecane ne
SLIDE 10 An E n Eule lerian p n popula lation b n bala lanc nce me metho hod f for p poly ly-d
mu mult ltipha hase f flo lows. . Adaptive M MUS USIG M IG Model l
SLIDE 11
1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 Mass a and nd nu numb mber d dens nsity a y are r redistributed b between ne n neighb hbour g groups so t tha hat e each g h group ha has t the he s same me ma mass b but ne new d diame meters. . d d d d
Adaptive M MUS USIG M IG Model l
SLIDE 12
Adaptive M MUS USIG - Dr IG - Drople let b breakup t thr hrough a h an o n orifice
Sauter Mean Diameter Breakup Rate (log scale) Turbulent-induced breakup Shear-induced breakup
SLIDE 13
Suspensions – relative viscosity model Krieger-Dougherty model
SLIDE 14
Suspensions – Eulerian multiphase
Two-fluid formulation
The momentum equation for phase k is From the suspension balance model Fluid stress is pressure with viscous term and shear particle stress term Particle stress is Morris and Boulay total stress
SLIDE 15 Suspensions – relative viscosity models Morris and Boulay model Total particle stress is:
web.mit.edu
SLIDE 16
Suspensions – pipe flow modelling
Modelling results of Hampton et. al NMR suspensions in pipe experiments At volume fraction of particles = 0.3 The Morris and Boulay relative viscosity model is capable of causing particle migration towards the centre of the pipe. When the normal stresses are turned off then no particle migration occurs. Kn = 2
SLIDE 17 Emulsions Surfactant stabilised emulsions share many properties of suspensions as the fluid particles can be approximated as solid particles.
- As the volume fraction of the
dispersed phase is increased the effect of maximum packing leads to divergent viscosity,
- eventually a phase inversion occurs.
SLIDE 18
Emulsions Pressure Drop in STAR-CCM+ Modelling the pressure drop in pipes, (experimental data from Dr. Jose Plasencia)
“Pipe flow of water-in-crude oil emulsions: Effective viscosity, inversion point and droplet size distribution” Jose Plasencia, Bjørnar Pettersen and Ole Jørgen Nydala, Journal of Petroleum Science and Engineering Volume 101, January 2013, Pages 35–43
Crude oil A and seawater emulsion in horizontal pipe of diameter 2.21 cm, At a velocity of 0.44 m/s (laminar regime).
Interestingly with models that have no negative normal stresses, Pressure drop is over- estimated
