Abstract

In aero-engines, it is important to predict the behavior of shear flows in the different parts such as bearing chambers or gearboxes. In bearing chambers, the thickness distribution of wavy films is well studied as two-phase flows are still very hard to predict depending on the case. Experimental studies remain very expensive to carry out and computational fluid dynamics (CFD) still struggles with two-phase flow prediction especially when a sharp interface between the two phases must be modeled. CFD is used to predict the oil film thickness distribution and interface velocity at different engine operating conditions. Currently, Reynolds-averaged Navier–Stokes (RANS) CFD uses a semi-empirical method of turbulence damping, which is inaccurate for wavy films and so impacts the modeling of bearing chambers and gearboxes. With the objective of improving RANS models from large eddy simulation (LES) methods, the volume of fluid (VOF) and Euler–Euler methods for two-phase flow modeling are investigated in this study. The VOF approach assumes a single set of momentum equations for the two phases and volume fractions are 1 or 0 everywhere except in the interface region. An alternative to VOF is the Euler–Euler method with interface sharpening for shear flows. This approach assumes one set of momentum equations per phase but a shared field of pressure. The VOF and Euler–Euler approaches are compared in this study using LES with the CFD code OpenFOAM v6. The case study is based on experimental work investigating stratified flow in a horizontal channel that will be further detailed in this paper. In this study, a simplified 3D periodic channel filled with two distinct phases—air and water—is used. A flow regime is studied in which flows are fully developed and the water phase has a much smaller velocity than the air phase in order to obtain a shear flow. Numerical results are compared with experimental measurements from the literature. With OpenFOAM, the VOF solver used for the study is interFoam and the Euler–Euler solver used is reactingMultiphaseEulerFoam. Velocity profiles, shear–stress profiles, and kinetic energy profiles are compared with experimental measurements for the assessment of the two flow solvers. Maps of vorticity magnitude are also provided to support the comparisons between the Euler–Euler and the VOF approaches as well as an appropriate vortex identification method.

References

1.
Rolls-Royce plc
,
2019
, “
Advance and UltraFan
,” Accessed October 28, 2019.
2.
Wang
,
C.
,
Morvan
,
H. P.
,
Hibberd
,
S.
, and
Cliffe
,
K. A.
,
2011
, “
Thin Film Modelling for Aero-Engine Bearing Chambers
,
Aircraft Engine; Ceramics; Coal, Biomass and Alternative Fuels; Wind Turbine Technology of Turbo Expo: Power for Land, Sea, and Air: Vol. 1
,
Vancouver, British Columbia, Canada
,
June 6–10
, pp.
277
286
.
3.
Egorov
,
Y.
,
Martin
,
A.
,
Boucker
,
M.
,
Pigny
,
S.
,
Scheurer
,
M.
, and
Willemsen
,
S.
,
2004
, “
Validation of CFD Codes With Pts-Relevant Test Cases
,” Vol.
5th
Euratom Framework Programme ECORA project
, pp.
91
116
.
4.
Bristot
,
A.
,
Morvan
,
H.
,
Simmons
,
K.
, and
Klingsporn
,
M.
,
2017
, “
Effect of Turbulence Damping in VOF Simulation of an Aero-Engine Bearing Chamber
,” Turbomachinery: Vol. 2B,
Charlotte, NC
,
June 26–30
,
ASME
, pp.
1
10
.
5.
Hirt
,
C.
, and
Nichols
,
B.
,
1981
, “
Volume of Fluid (VOF) Method for the Dynamics of Free Boundaries
,”
J. Comput. Phys.
,
39
(
1
), pp.
201
225
.
6.
Hashmi
,
A.
,
Dullenkopf
,
K.
,
Koch
,
R.
, and
Bauer
,
H.
,
2010
, “
CFD Methods for Shear Driven Liquid Wall Films
,”
Heat Transfer, Parts A and B of Turbo Expo: Power for Land, Sea, and Air: Vol. 4
,
Glasgow, UK
,
June 14–18
,
ASME
, pp.
1283
1291
.
7.
Ishii
,
M.
, and
Hibiki
,
T.
,
2010
,
Thermo-Fluid Dynamics of Two-Phase Flow
, 2 ed.,
Springer
,
New-York
.
8.
Weller
,
H.
,
2008
, “
A New Approach to VOF-Based Interface Capturing Methods for Incompressible and Compressible Flow
,” Technical Report, OpenCFD.
9.
Foundation
,
T. O.
,
2018
,
OpenFOAM User Guide Version 6
,
The OpenFOAM Foundation
.
10.
Frederix
,
E.
,
Mathur
,
A.
,
Dovizio
,
D.
,
Geurts
,
B.
, and
Komen
,
E.
,
2018
, “
Reynolds-Averaged Modeling of Turbulence Damping Near a Large-Scale Interface in Two-Phase Flow
,”
Nucl. Eng. Des.
,
333
(
1
), pp.
122
130
.
11.
Fabre
,
J.
,
Masbernat
,
L.
, and
Suzanne
,
C.
,
1987
, “
Experimental Data Set No. 7: Stratified Flow, Part I: Local Structure
,”
Multiphase Sci. Technol.
,
3
(
1–4
), pp.
285
301
.
12.
Faghri
,
A.
, and
Zhang
,
Y.
,
2006
, “
Solid–Liquid–Vapor Phenomena and Interfacial Heat and Mass Transfer
,”
Transport Phenomena in Multiphase Systems
,
Academic Press
,
Boston, MA
, pp.
331
420
.
13.
Wardle
,
K.
, and
Weller
,
H.
,
2013
, “
Hybrid Multiphase CFD Solver for Coupled Dispersed/Segregated Flows in Liquid–Liquid Extraction
,”
Int. J. Chem. Eng.
,
2013
(
1
), p.
13
.
14.
Smagorinsky
,
J.
,
1963
, “
General Circulation Experiments With the Primitive Equations
,”
Monthly Weather Rev.
,
91
(
3
), pp.
99
164
.
15.
Sagaut
,
P.
,
Deck
,
S.
, and
Terracol
,
M.
,
2013
,
LES, DES and Hybrid RANS/LES Methods: Appliction and Guidelines
,
Imperial College Press
,
London
.
16.
Cantwell
,
B.
, and
Coles
,
D.
,
1983
, “
An Experimental Study of Entrainment and Transport in the Turbulent Near Wake of a Circular Cylinder
,”
J. Fluid Mech.
,
136
(
11
), pp.
321
374
.
17.
Boussinesq
,
J.
,
1877
, “
Essai sur la théorie des eaux courantes
,”
Mémoires présentées par divers savants à l’Académie des Sciences de l’Institut National de France
, Vol.
13
,
Imprimerie Nationale
,
Paris
, pp.
1
680
.
18.
Tucker
,
P.
, and
Davidson
,
L.
,
2004
, “
Zonal K–l Based Large Eddy Simulations
,”
Comput. Fluids
,
33
(
2
), pp.
267
287
.
19.
van Leer
,
B.
,
1979
, “
Towards the Ultimate Conservative Difference Scheme. V. A Second-Order Sequel to Godunov’s Method
,”
J. Comput. Phys.
,
32
(
1
), pp.
101
136
.
20.
Ferziger
,
J.
, and
Peric
,
M.
,
2002
,
Computational Methods for Fluid Dynamics
, 3 ed.,
Springer
,
Berlin
.
21.
Issa
,
R.
,
1986
, “
Solution of the Implicitly Discretised Fluid Flow Equations by Operator-Splitting
,”
J. Comput. Phys.
,
62
(
1
), pp.
40
65
.
22.
Hunt
,
J.
,
Wray
,
A.
, and
Moin
,
P.
,
1988
, “
Eddies, Stream, and Convergence Zones in Turbulent Flows
,”
Center for Turbulence Research Report CTR-S88
.
23.
Eastwood
,
S. J.
,
Tucker
,
P. G.
,
Xia
,
H.
, and
Klostermeir
,
C.
,
2009
, “
Developing Large Eddy Simulation for Turbomachinery Applications
,”
Philos. Trans. R. Soc.
,
367
(
9
), pp.
2999
3013
.
You do not currently have access to this content.