multiscale analysis anddesign of industrialand ... · vapor mass transfer flow = ... 15 eindhoven...
TRANSCRIPT
Laboratory for Chemical Technology, Ghent University
http://www.lct.UGent.be
Multiscale analysis and design of industrial andemerging thermal processes involving solids
Guy B. Marin
1
Eindhoven Multiscale Institute (EMI) Annual Symposium “Multiscale Challenge of Multiphase Flows” December 14 2016
2
Outline
• Introduction
• Steam cracking
• Vortex reactor
• Conclusions
Eindhoven Multiscale Institute (EMI) Annual Symposium “Multiscale Challenge of Multiphase Flows” December 14 2016
Multiscale: from molecule to process
3
Eindhoven Multiscale Institute (EMI) Annual Symposium “Multiscale Challenge of Multiphase Flows” December 14 2016
Molecular level
Process level
4
Outline
• Introduction
• Steam cracking
• Vortex reactor
• Conclusions
Eindhoven Multiscale Institute (EMI) Annual Symposium “Multiscale Challenge of Multiphase Flows” December 14 2016
Steam cracking: from fossil to renewables
5
Eindhoven Multiscale Institute (EMI) Annual Symposium “Multiscale Challenge of Multiphase Flows” December 14 2016
atozforex.com; pnnl.org; districtenergy.org; scade.fr; schmidt-clemens.de; Linde Group
Crude oil
Natural gas
Bio-based feeds
Steam cracking Consumer goods fromchemical industry
Naphtha
Light gasoil
crude oil
Natural gas liquids
Gas-condensates
Hydrode-oxygenated
FAME
Ethene
Propene
Butadiene
Aromatics
Thermochemical conversion of biomass
6
Eindhoven Multiscale Institute (EMI) Annual Symposium “Multiscale Challenge of Multiphase Flows” December 14 2016
LIGNOCELLULOSIC BIOMASS
BIO-OIL CHAR
CO
CO2
H2OCH4
H2
GAS
NH3
HCNC2H4
5wt% Torrefaction35wt% Slow pyrolysis13wt% Fast pyrolysis85wt% Gasfication
20wt%30wt%75wt%5wt%
75wt%35wt%12wt%10wt%
Toraman, H.E.et al.,Bioresource Technology, 207, 229-236, 2016
COILSIM1D
Pilot plant
Simulation andOptimization
Industry
Eindhoven Multiscale Institute (EMI) Annual Symposium “Multiscale Challenge of Multiphase Flows” December 14 2016
http://www.avgi.be/
Steam cracker: hot section
8
D
A
C
A: Radiation sectionB: TLEC: Steam drumD: Convection section
Endothermic process 1050–1150 K
Preheat feed and other utility streams
Rapidly quenching of reactor effluent
B
45%
50% 800K
700K
1050–1150 K
5%
1450 K
FPH
Saturated steam
BFWECO
Feed
Dilution steam
SSH
HTC
Steam
Eindhoven Multiscale Institute (EMI) Annual Symposium “Multiscale Challenge of Multiphase Flows” December 14 2016
Coke formation
Eindhoven Multiscale Institute (EMI) Annual Symposium “Multiscale Challenge of Multiphase Flows” December 14 2016
Optimization by- Feed additives- Metallurgy & surface technology- 3D reactor technology
Deposition of a carbon layer on the reactor surface
Thermal efficiency
Product selectivity
Decoking procedures
Estimated annual cost to industry: $ 2 billion
9
10
Steam cracker convection section
EvaporatorEvaporator
Steam
Feed
Nozzle
Steam
Feed
Nozzle Feed-steam mixture overheater-1
Feed-steam mixture overheater-1
Feed Evaporator
Steam super heater
Mixture over-heater-1
Mixture over-heater-2
Flue gas out ~ 700K
Flue gas in~ 1400 K
Mixing nozzle
To radiation section
Schematic of convection section
Heavy feed
Eindhoven Multiscale Institute (EMI) Annual Symposium “Multiscale Challenge of Multiphase Flows” December 14 2016
Mahulkar, A.V. et al., Chemical Engineering Science, 110, 31-43, 2014
Droplet trajectories
11
Inlet bend
Inlet
Inlet bend
Inlet
Inlet bend
Inlet
100 micron inlet diameter
Dro
plet
Dia
met
er (m
)
Inlet bend
Inlet
50 micron inlet diameter
10 micron inlet diameter
1 micron inlet diameter
• Large droplets (50 & 100 µm) impinge the inlet bend due to inertial separation from flow.• Large (50 & 100 µm) droplets reduce in size due to splashing while the smaller droplets (1 & 10
µm) reduce in size by evaporation
Eindhoven Multiscale Institute (EMI) Annual Symposium “Multiscale Challenge of Multiphase Flows” December 14 2016
12
Gas condensate: regime map
• Wider stick regime as compared to that in single componentdroplet regime map
• For splash and limited splash, the no. of daughter droplets formedis greater than predicted by correlations available in literature
Rebound
StickSplash
Limited Splash
0
200
400
600
800
1000
1200
480 530 580 630 680 730 780
No
rma
l W
eb
er
nu
mb
er
Wall temperature (K)
Stick
Rebound
Splash
Limited Splash
820TLF
critNormWe
Eindhoven Multiscale Institute (EMI) Annual Symposium “Multiscale Challenge of Multiphase Flows” December 14 2016
Mahulkar, A.V. et al., Chemical Engineering Science, 130, 275-289, 2015
Wall film model
• Droplet collection as mass source for film• Film velocity based on interfacial shear and gravity• Energy balance over the film• Film has one pseudo species (physical property of which changes as
evaporation proceeds)
13
Wall
Liquid film
Impinging droplet
Heat transfer from wall
Evaporative heat and mass transferVapor
flow
�� =����ℎ
2��� =
��ℎ�
3���Shear
componentGravitational component
Eindhoven Multiscale Institute (EMI) Annual Symposium “Multiscale Challenge of Multiphase Flows” December 14 2016
14
Outline
• Introduction
• Steam cracking
• Vortex reactor
• Conclusions
Eindhoven Multiscale Institute (EMI) Annual Symposium “Multiscale Challenge of Multiphase Flows” December 14 2016
Gas/Solid Fluidization Reactors
15
Eindhoven Multiscale Institute (EMI) Annual Symposium “Multiscale Challenge of Multiphase Flows” December 14 2016
gravitational technologies centrifugal technologies
ConventionalFluidized Bed 1
Riser/Circulating Fluidized Bed 2
Conventional Rotating Fluidized Bed 3
Gas/Solid Vortex Reactor
1. van Hoef et al., Ann. Rev. Fluid Mech. 40 (2008) 47-702. http://www.fluidcodes.co.uk/fbed.html3. adapted from Watano et al., Powder Tech.131 (2003) 250-255
Real-time Video
16
Eindhoven Multiscale Institute (EMI) Annual Symposium “Multiscale Challenge of Multiphase Flows” December 14 2016
0.9 mm polyvinylidene fluoride particles (ρ = 1800 kg/m3) ~1 kg/s air flow~5 kg bed mass
Gas/Solid Vortex Reactor (GSVR)
17
Eindhoven Multiscale Institute (EMI) Annual Symposium “Multiscale Challenge of Multiphase Flows” December 14 2016
GSVR Characteristics:• Gas injection forces bed rotation
& induces fluidization• Centrifugal forces resist drag
� Dense bed � High radial slip velocity
gas flow path solid velocity
Tangential gasinjection
Rotating solidparticles
18
Outline
• Introduction
• Steam cracking
• Vortex reactor: cold flow
• Conclusions
Eindhoven Multiscale Institute (EMI) Annual Symposium “Multiscale Challenge of Multiphase Flows” December 14 2016
Experimental GSVR Set-ups: cold flow
19
Eindhoven Multiscale Institute (EMI) Annual Symposium “Multiscale Challenge of Multiphase Flows” December 14 2016
High-Speed Video
20
Eindhoven Multiscale Institute (EMI) Annual Symposium “Multiscale Challenge of Multiphase Flows” December 14 2016
70 micron particles (5000 FPS)
~1.6 mm particles (10000 FPS)
CFD Example Movies
21
Eindhoven Multiscale Institute (EMI) Annual Symposium “Multiscale Challenge of Multiphase Flows” December 14 2016
2D (with gravity), 0.74 kg/s air, 3250 g bed
Optimization of design
22
Eindhoven Multiscale Institute (EMI) Annual Symposium “Multiscale Challenge of Multiphase Flows” December 14 2016
�8 inlet slots�10° with respect to the tangent�1 mm width�Gas inlet velocity 60-140 m/s
Side view ↓Top view ↑
Gas-only simulation
23
Eindhoven Multiscale Institute (EMI) Annual Symposium “Multiscale Challenge of Multiphase Flows” December 14 2016
� N2 mass flow: 6.67 g s-1
� Inlet temperature: 842K� Turbulence model: RSM� 2.8 million cells mesh� 3rd order discretization
outlet
� Backflow is minimized and displaced upwards towards the outlet
[m/s]
Gas-only simulation
Geometry simplification for speedup of calculation
24
Eindhoven Multiscale Institute (EMI) Annual Symposium “Multiscale Challenge of Multiphase Flows” December 14 2016
Actual inlet Circular inlet Pie-shape
� Same inner geometry and shape of inlet slots.� In all cases the same amount of gas is fed.
In theory, the flow pattern in the inner part of the reactor should not be affected.
25
Outline
• Introduction
• Steam cracking
• Vortex reactor: hot flow
• Conclusions
Eindhoven Multiscale Institute (EMI) Annual Symposium “Multiscale Challenge of Multiphase Flows” December 14 2016
Gas-solid simulation procedure
• STEP 1: Gas-only simulation until steady-state– Hot gas (N2) enters via the outer ring
• STEP 2: Feeding of solid particles– Ring-shaped feeding zone right after the slits– Via UDF: add mass source term in the solid
phase continuity equationOR: “patch” a volume fraction of solids
– Particles at room temperature (no sourceterm in energy equation)
– Final goal: 15 g of solids in reactor
• STEP 3: Stabilization– Stop particle feed and monitor bed stabilization– Heating of particles by the hot gas
26
Eindhoven Multiscale Institute (EMI) Annual Symposium “Multiscale Challenge of Multiphase Flows” December 14 2016
N2
Particles are fed in this ring
Some results
Unstable bed (a lot of bubbles) – Total mass of solids: 16 g
Stable, thin bed – Total mass of solids: 5.5 g
27
Eindhoven Multiscale Institute (EMI) Annual Symposium “Multiscale Challenge of Multiphase Flows” December 14 2016
Sol
ids
volu
me
frac
tion
Sol
ids
volu
me
frac
tion
Iso-surface of solids volume fraction = 0.2
Iso-surface of solids volume fraction = 0.2
Some results
Gas enters at 1023 K, solids are introduced at 300 K (8 g/s)
Solid temperature evolution :
28
Eindhoven Multiscale Institute (EMI) Annual Symposium “Multiscale Challenge of Multiphase Flows” December 14 2016
Time = 1 s(during solid feed step)
Time = 2 s(during solid feed step)
Time = 3 s(after solid feed step)
29
Outline
• Introduction
• Steam cracking
• Vortex: flow model
• Conclusions
Eindhoven Multiscale Institute (EMI) Annual Symposium “Multiscale Challenge of Multiphase Flows” December 14 2016
Flow model: Euler/Euler
Conservation equations� Mass (� = �, �)
� Momentum
� Energy (� = �, �)
30
Eindhoven Multiscale Institute (EMI) Annual Symposium “Multiscale Challenge of Multiphase Flows” December 14 2016
�
������ + � ⋅ ������� = ��
�
��������� + � ⋅ ���������� =−���! − �!� + � ⋅ ��" + ������ + #$% ��& − ��� + '�(),�
�
���&�&��& + � ⋅ �&�&��&��& =−�&�! + � ⋅ �& + �&�&�� + #$% ��� − ��& + '�(),&
�
������ℎ� + � ⋅ �������ℎ� = ��
�!
��+ �̿�: �,� − � ⋅ -�� + .�/
�̿� = ��(�+0,�) ���� + ����0 + �� 1� −
2
3(�+0,�) � ⋅ ��� 2�Wherein, stress tensor:
Momentum transfer(Gidaspow?)
Turbulent dispersion(Simonin-et-al)
Heat transfer(Gunn)
Flow Model based on experimental program
31
Eindhoven Multiscale Institute (EMI) Annual Symposium “Multiscale Challenge of Multiphase Flows” December 14 2016
Pressure Profile
Solids VelocityBed Thickness
(Bulk Solids Fraction)
Gas flow rate
GSVU geometry
Wall
Bed mass
Particle
CFD model parameters
Gas
Observable(dependent)
variables
Set (independent)
variables
Experimental Data
Eindhoven Multiscale Institute (EMI) Annual Symposium “Multiscale Challenge of Multiphase Flows” December 14 2016
32
32
� Static Pressure profilePressure probes at wall
-0.5
0.5
1.5
2.5
3.5
0 0.09 0.18 0.27
Pre
ssur
e [k
Pa]
Radius [m]
∆4
∆4
012345
0.18 0.21 0.24 0.27Par
ticle
vel
ocity
[m
/s]
Radius [m]
� Bed Height: Visual observation, Pressure profile
∆4
PIV
� Solids VelocityParticle Image Velocimetry of solid phase near wall
56,7
56,8
� Particle azimuthal velocity: � Pressure drop over bed:
Pressure
probes
� Void fraction: 9:;<=
:;<=
:;<=
M.N.Pantzali et al., AIChEJ, 4114-4125 (2015)
32
Stereo PIV: single phase (seed particles)
z
r
Instantaneous 3D velocity fields
Average vector field
F=0.394 Nm3/s, vinj=55m/s
Eindhoven Multiscale Institute (EMI) Annual Symposium “Multiscale Challenge of Multiphase Flows” December 14 2016
33
Single phase flow: model validation
34
Eindhoven Multiscale Institute (EMI) Annual Symposium “Multiscale Challenge of Multiphase Flows” December 14 2016
Fields of velocity magnitudeExperimental
Radial profiles of azimuthal velocity
Numerical Simulations
Axial profiles of azimuthal velocity
0
20
40
60
80
100
120
140
0 0.1 0.2
Uθ
(m/s
)
r (m)
Niyogi K. et al, AIChE J., in press
35
Outline
• Introduction
• Steam cracking
• Vortex: drag model
• Conclusions
Eindhoven Multiscale Institute (EMI) Annual Symposium “Multiscale Challenge of Multiphase Flows” December 14 2016
Radial Momentum Balance
Three main equations (simplified) :
1. Gas momentum balance
2. Solids momentum balance
3. Gas-solid combination
36
'> negligible ?
FS : Force exerted on the bed by the wall (N)
∆!
ℎ?@)='A�?@)
�� 1 − CD�,E�
F
F
ℎGH
F
F − ℎ='A�?@)
+'>�?@)
∆!
ℎ?@)= �� 1 − C
D�,E�
F
F
ℎGH
F
F − ℎ−'>�?@)
Eindhoven Multiscale Institute (EMI) Annual Symposium “Multiscale Challenge of Multiphase Flows” December 14 2016
Radial Momentum Balance
37
Bed pressure drop
• Particles
DiameterDensity
‘1 mm’ ‘1.5 mm’ ‘2 mm’
HDPE 950 kg/m 3 0.9 1.4 1.8
PC 1240 kg/m 3 - - 1.9
Dependent variables studied:
• Air flow rate: Gf 0.4-0.8 Nm3/s
• Solids loading: 2 kg – Maximum Capacity
∆!
ℎ?@)= �� 1 − C
D�,E�
F
F
ℎGH
F
F − ℎ
Experimental validation of balance simplification
Gas-solid momentum balance:
Weight of the bed in centrifugal field
=
'> negligible !
∆�
IJKL[kPa/m]
�� 1 − CMN,OP
Q
Q
IGH
Q
QRI[kPa/m]
0
50
100
150
200
0 50 100 150 200
Eindhoven Multiscale Institute (EMI) Annual Symposium “Multiscale Challenge of Multiphase Flows” December 14 2016
Drag Force – Modelling
Drag Coefficient definition (single particle)
- Drag force in GSVU:
- Model for SA,T>UM:
FV�,W ≔D&,W�&Y�&
� =2ZF
[,\]V^_`�G_�� ∗ �G_��ℎ�bcHV��b_��
Eindhoven Multiscale Institute (EMI) Annual Symposium “Multiscale Challenge of Multiphase Flows” December 14 2016
'A = H�SAZY�
�
4
�&D&,WC
�
2
Ff,%g: = Cf,%gi)j
P
k
lmnmP
�
SA = oFV�,W? Cp Sr
Swirl ratio at inlet� ≔D&,7
D&,W
rθ
5t,u
5t,E
vw,E
5t
α
Where:
12
D&,W =y
2ZFz
D&,7 =y ∗ b_��
H,\]V^_`�G_�� ∗ �G_��ℎ�bcHV�� ∗ z
G : Gas mass flow rate (Nm3/s) L : Unit Length (m)
{
(azimuthalvelocityatslots)
(radialvelocityfrommassconservation)
Geometrical Factor
�
�
38
Regression of “measured” drag force FDCalculated: Proposed
Drag Model
Estimation of model parameters a,b,c,d by minimization of sum of squares of residuals
between experimental and calculated drag
forces
14
Experimental: Solids Radial Momentum Balance
FV�,W ≔D&,W�&Y�&
� =2ZF
[,\]V^_`�G_�� ∗ �G_��ℎ�bcHV��b_��
Dependentvariables:
CHp�?@)
Independent Variables:
ℎ?@)
��, yY� ��
D�,ED&,W =
y�
2ZFz
��:solids load (kg), G:gas mass flow rate (Nm3/s)
(�2�)(���,oG)
D&,W
F
ℎGH
F
F − ℎ�?@)�� 1 − C
D�,E�
F= 'A '�� = H���,{6�5
Z
4Y��1
2�&
D&,WC
�
��,{6�5 = �FV�,W; C�S�
Eindhoven Multiscale Institute (EMI) Annual Symposium “Multiscale Challenge of Multiphase Flows” December 14 2016
Model performance
40
Eindhoven Multiscale Institute (EMI) Annual Symposium “Multiscale Challenge of Multiphase Flows” December 14 2016
SA,T>UM = (15.00 ± 4.65)C�.� ±¡.¡¢FV�,W
(R¡.�¢±¡.¡£)S(¡.¤¥±¡.¡ )
0
10
20
30
40
50
60
70
0 200 400 600 800 1000 1200 1400
c D,G
SV
Uε
-1.9
3
Rep,r
Friedle M. et al., submitted
Flow Model
41
Eindhoven Multiscale Institute (EMI) Annual Symposium “Multiscale Challenge of Multiphase Flows” December 14 2016
Pressure Profile
Solids VelocityBed Thickness
(Bulk Solids Fraction)
Gas flow rate
GSVU geometry
Wall
Bed mass
Particle
CFD model parameters
Gas
Observable(dependent)
variables
Set (independent)
variables
Model validation: radial pressure drop
42
Gas momentum balance:∆!
ℎ?@)='A�?@)
Including the model
Leads for c=2 and hbed~0 to:∆!
12�&D&,W
�=15
8H�FV�,W
R¡.�¢S¡.¤¥Y��
Fz
Eindhoven Multiscale Institute (EMI) Annual Symposium “Multiscale Challenge of Multiphase Flows” December 14 2016
'A = H�SA,T>UMZ
4Y��1
2�&
D&,WC
�
SA,T>UM = 15C�.� FV�,W
R¡.�¢S¡.¤¥
Model validation: parity plot
43
0
200
400
600
800
1000
1200
1400
1600
0 200 400 600 800 1000 1200 1400 1600
Eindhoven Multiscale Institute (EMI) Annual Symposium “Multiscale Challenge of Multiphase Flows” December 14 2016
∆!
12 �&D&,W
�
44
Outline
• Introduction
• Steam cracking
• Vortex reactor: pyrolysis
• Conclusions
Eindhoven Multiscale Institute (EMI) Annual Symposium “Multiscale Challenge of Multiphase Flows” December 14 2016
Cold Flow Test with Pinewood
45
Ghent, 12/12/2016
� Pinewood particles� Irregular shapes maximum dimension 2
mm� Gas inlet velocity 90 m s-1
� Continuous feeding for approx. 10 s using a drill to drive a provisional injection screw
� Average bed height 15 mm
� Solids holdup 9-11 g (voidage 0.5-0.6)
Cold Flow Test with Pinewood
46
Ghent, 12/12/2016
8 inlet slots, 10° with respect to the tangent, 0.94 mm width
� Pinewood particles� Irregular shapes max. dimension 2 mm� Gas inlet velocity 90 m s-1
� Continuous feeding for approx. 10 s using a drill to drive a provisional injection screw
� Average bed height 15 mm� Average solids azimuthal velocity 4.5 m s-1
� Solids holdup 9-11 g (voidage 0.5-0.6)
Particle image velocimetry
Biomass Pyrolysis Process: flow diagram
47
Eindhoven Multiscale Institute (EMI) Annual Symposium “Multiscale Challenge of Multiphase Flows” December 14 2016
http://www.pyne.co.uk
BIOMASS
BIO-OIL (TAR)
Flue gas
Sand + Char
Hot Sand
Air
Gas recycle
Pyrolysis Gas
Combustor
Pyrolyser
Pyrolysis Modeling in a GSVR
481. Xue, Heindel, and Fox, Chem. Eng. Sci. 66 (2011) 2440
• 2D periodic GSVR simulations
• Heterogeneous reactions (solid � gas + char):
• 10-reaction network with pseudo-components 1
• Continuous feeding of biomass
• Cellulose, hemicellulose, and lignin
• Different rates for each biomass component
• 4-phase Eulerian multiphase simulation (3 granular)
• Gas, biomass, char, and sand
• Sand and biomass retained in reactor
• Char leaves with gas flow due to lower density
Eindhoven Multiscale Institute (EMI) Annual Symposium “Multiscale Challenge of Multiphase Flows” December 14 2016
VirginBiomass
ActiveBiomass
Tar (g)PyrolysisGases
Char (s) + Pyrolysis Gases
biomass
char
sand
Volume fraction
Volume Fraction and Temperature
49
Eindhoven Multiscale Institute (EMI) Annual Symposium “Multiscale Challenge of Multiphase Flows” December 14 2016
biomass char sand0.030 0.065 0.55
50
Eindhoven Multiscale Institute (EMI) Annual Symposium “Multiscale Challenge of Multiphase Flows” December 14 2016
BiomassChar
Total solids(biomass, char, sand)
Volume Fraction Animation0.08 0.15
0.63
Ashcraft, R.W. et al.,Chemical Engineering Journal, 207-208, 195-208, 2012
GSVR Process Intensification
51
Eindhoven Multiscale Institute (EMI) Annual Symposium “Multiscale Challenge of Multiphase Flows” December 14 2016
1.Z.Y. Zhou, A.B. Yu, P. Zulli, Particle scale study of heat transfer in … fluidized beds, AIChE J. 55 (2009) 868–8842.Y. Ma, J.X. Zhu, Experimental study of heat transfer in a co-current downflow fluidized bed, Chem. Eng. Sci. 54 (1999) 41–50
Typical range1,2 static fluidized beds and risers/CFBs: ~100 – 200 W/(m2 K)
Gas/Solid Fluidization Reactors
52
Eindhoven Multiscale Institute (EMI) Annual Symposium “Multiscale Challenge of Multiphase Flows” December 14 2016
Gas
/Sol
id S
lip V
eloc
ity
Solid Volume Fraction
Terminal velocity
Fluidized
Beds
Risers &
Circulating
Fluidized Beds
GSVR &
Rotating
Fluidized
Bed
Reactors
Improved gas/solid mass transferPotential for intensification
Images from: Watano et al., Powder Tech.131 (2003) 250-255
Gravitational technologiesLonger gas/solid contact time
Centrifugal technologiesShorter gas/solid contact time
Conclusions“ standard “ CFD models and codes • allow to describe and assess “new” reactor technologies involving multiple
scales
PIV data combined with visual observation and pressure me asurement• provide correlation for drag coefficient in GSVR flow model
GSVRs have the potential to intensify processes• High intrinsic mass/heat transfer can yield improved overall rates• High solid volume fractions can reduce equipment size
Biomass Pyrolysis • Stratification of solid phases to retain unreacted biomass: multifunctional reactor• Comparison to a static gravitational fluidized bed
– Order of magnitude larger heat and mass transfer coefficients
53
Eindhoven Multiscale Institute (EMI) Annual Symposium “Multiscale Challenge of Multiphase Flows” December 14 2016
CRE in the 21st century
54
design
experimenttheory
Eindhoven Multiscale Institute (EMI) Annual Symposium “Multiscale Challenge of Multiphase Flows” December 14 2016
Acknowledgments
Eindhoven Multiscale Institute (EMI) Annual Symposium “Multiscale Challenge of Multiphase Flows” December 14 2016
The Long Term Structural Methusalem Funding
55
56
Acknowledgments
• Profs. Geraldine Heyndericks, Kevin Van Geem
• Drs. Marita Torregrosa, Vladimir Shtern, Amit Mahulkar, Ruben Debruycker, Maria Pantzali, Jelena Kovacevic, Robert Ashcraft
• PhD students Pieter Reyniers, Laurien Vandewalle, Kaustav Nyogi, Maximilian Friedl, Arturo Gonzalez-Quiroga
Eindhoven Multiscale Institute (EMI) Annual Symposium “Multiscale Challenge of Multiphase Flows” December 14 2016
People
•Assistant professors: 4
•Visiting/senior scientists: 4
•Post-docs: 8
•PhD students: 60
•Technical staff: 10
•Administrative staff: 3
57