Encyclopaedia Index
7. References
MJ Andrews (1986) "Turbulent mixing by Rayleigh-Taylor
instability"; PhD Thesis, London University
WH Avery & RW Hart (1953) Ind Engg Chem vol 45 p 16 34
J Boussinesq (1877) "Theorie de l'ecoulement tourbillant";
Mem, Pre. par. div. Sav. Paris, vol 23
P Bradshaw, DR Ferriss & NP Atwell (1967) "Calculation of
boundary-layer development using the turbulent energy equation";
J Fluid Mech, vol 28, p 593
KNC Bray and PA Libby "Counter-gradient diffusion in pre-mixed
turbulent flames"; AIAA J vol 19, p205, 1981
JY Chen & W Kollmann (1988) "PDF modelling of non-equilibrium
effects in turbulent non-premixed hydrocarbon flames";
22nd Int. Symp. on Combustion, Combustion Inst pp 645-653
JY Chen & W Kollmann (1990) "Chemical models for PDF modelling
of hydrogen-air non-premixed turbulent flames";
Combustion and Flame, vol 79, pp 75-99
SM Correa and SB Pope (1992) "Comparison of a Monte Carlo PDF/
finite-volume model with bluff-body Raman data"
Twenty-Fourth International Combustion Symposium
The Combustion Institute, pp279-285
RL Curl (1963) AIChE J vol 9, p 175
BJ Daly & FH Harlow (1970) "Transport equations in turbulence";
Phys Fluids, vol 13, p 2634
C Dopazo and EE O'Brien (1974) Acta Astronautica vol 1, p1239
MA Elhadidy (1980),'Applications of a low-Reynolds-number
turbulence model and wall functions for steady and unsteady
heat-transfer computations', PhD Thesis, University of London
DJ Freeman and DB Spalding (1995) "The multi-fluid turbulent
combustion model and its application to the simulation of gas
explosions"; The PHOENICS Journal (to be published)
N Fueyo (1992) "Two-fluid models of turbulence for
axi-symmetrical jets and sprays"; PhD Thesis, London University
N Fueyo, JC Larroya, L Valino, C Dopazo (1995) "A combined
CFD-Montecarlo method for the solution of the scalar PDF
equation in turbulent reaction"
European PHOENICS User Conference, Trento, Italy
M Gonzalez & R Borghi (1991) "A Lagrangian intermittent model
for turbulent combustion; theoretical basis and comparison with
experiments", Turbulent Shear Flows 7, Springer Verlag
FH Harlow & PI Nakayama (1968) "Transport of turbulence-energy
decay rate"; Los Alamos Sci Lab U Calif report LA 3854
NM Howe and CW Shipman (1965) "A tentative model for rates of
combustion in confined turbulent flames"
10th International Symposium on Combustion, p 1139
The Combustion Institute, 1965
WR Hawthorne, DE Weddell and HC Hottel (1949) "Mixing and combustion
in turbulent jets"
Third Symposium on Combustion, published by Williams & Wilkins
pp 266-288
ICOMP (1994) ICOMP-94-30; CMOTT-94-9; "Industry-wide workshop on
computational modelling turbulence"; NASA Conference
Publication 10165
JO Ilegbusi and DB Spalding (1987) "A two-fluid model of
turbulence and its application to near-wall flows"
IJ PhysicoChemical Hydrodynamics , vol 9, pp 127-160
JO Ilegbusi and DB Spalding (1987) "Application of a two-fluid
model of turbulence to turbulent flows in conduits and shear
layers" I J PhysicoChemical Hydrodynamics, vol 9, pp 161-181
JH Kent & RW Bilger (1976) "The prediction of turbulent
diffusion flame fields and nitric oxide formation"
16th International Symposium on Combustion, The Combustion
Institute p 1643
SW Kim and CP Chen (1989), 'A multi-time-scale turbulence
model based on variable partitioning of the turbulent kinetic
energy spectrum', Numerical Heat Transfer, Part B Vol 16 pp193
W Kolbe & W Kollmann (1980) "Prediction of turbulent diffusion
flames with a four-equation turbulence model"
Acta Astronautica, vol 71 p 91
AN Kolmogorov (1942) "Equations of motion of an incompressible
turbulent fluid"; Izv Akad Nauk SSSR Ser Phys VI No 1-2, p56
VR Kuznetsov (1979); USSR Fluid Dynamics vol 14, p328
BE Launder and DB Spalding (1972)
"Mathematical Models of Turbulence", Academic Press
FC Lockwood & AS Naguib (1975) "The prediction of the
fluctuations in the properties of free, round-jet, turbulent,
diffusion flames", Comb & Flame, vol 24 p 109
JP Longwell (1954) "Selected combustion problems"
Butterworths, p 508
BF Magnussen and BH Hjertager (1976) "On mathematical modelling of
turbulent combustion with special emphasis on soot formation
and combustion"
16th International Symposium on Combustion, pp 719-729
The Combustion Institute
MR Malin (1986) "Turbulence modelling for flow and heat
transfer in jets, wakes and plumes"; PhD Thesis, London
University
HB Mason and DB Spalding (1973) "Prediction of reaction rates in
turbulent pre-mixed boundary-layer flows"
Combustion Inst European Symposium, pp 601-606
JB Moss (1980) "Simultaneous measurements of concentration and
velocity in an open pre-mixed flame", Combustion Science and
Technology, vol 22, pp 115-129
D Naot, A Shavit M Wolfshtein (1974);"Numerical calculation of
Reynolds stresses in a square duct with secondary flow"; Waerme
u Stoffuebertragung, vol 7, p151
M Noseir (1980) "Application of the ESCIMO theory of turbulent
combustion"; PhD Thesis, London University
KA Pericleous and NC Markatos (1991) "A two-fluid approach to
the modelling of three-dimensional turbulent flames", in
Proc. Eurotherm Seminar 17, Springer Verlag
SB Pope (1982) Combustion Science and Technology vol 28, p131
SB Pope (1985) Progr Energy Combust Sci vol 11, pp119-192
SB Pope (1990) "Computations of turbulent combustion; progress
and challenges"
Twenty-Third International Symposium on Combustion,
The Combustion Institute, pp 591-612
L Prandtl (1925) "Bericht ueber Untersuchungen zur ausgebileten
Turbulenz"; ZAMM vol 3, pp 136-139, 1925
L Prandtl (1945) "Ueber ein neues Formelsystem fuer die
ausgebildete Turbulenz", Nachr. Akad. Wiss. Goettingen
O Reynolds (1874) "On the extent and action of the heating
surface of steam boilers";
Proc. Manchester Lit Phil Soc, vol 8, 1874
RP Rhodes, PT Harsha & CE Peters (1974) "Turbulent-kinetic-
energy analyses of hydrogen-air diffusion flame"
Acta Astronautica vol 1 p 443
R Sala and DB Spalding (1973) "A mathematical model for an
axi-symmetrical diffusion flame in a furnace". La Rivista di
Combustibili, vol 27, pp 180-186
PG Saffmann (1970) "A model for inhomogeneous turbulent flow";
Proc Roy Soc London vol A317 pp 417-433
S Shaanen, JH Ferziger, WC Reynolds (1975) "Numerical
Simulation of turbulence in the presence of shear"; Dept Mech
Engg Stanford U, Rep TF-6
KI Shchelkin USSR J Tech Phys vol 13, p 520, 1943
U Schumann (1973) "Ein Verfahren zur direkten numerischen
Simulation ..." Thesis 1854 U Karlsruhe
DB Spalding (1969) "The prediction of two-dimensional steady
turbulent elliptic flows" ICHMT Seminar, Herceg Novi, Yugoslavia
DB Spalding (1971a) "Mixing and chemical reaction in confined
turbulent flames"
13th International Symposium on Combustion, pp 649-657
The Combustion Institute
DB Spalding (1971b) "Concentration fluctuations in a round turbulent
free jet"; J Chem Eng Sci, vol 26, p 95
DB Spalding (1979) "The influences of laminar transport and
chemical kinetics on the time-mean reaction rate in a
turbulent flame";
17th International Symposium on Combustion, pp431-440,
The Combustion Institute.
DB Spalding (1982) "Chemical reaction in turbulent fluids"
IC CFDU Report 82/8, June 1982
DB Spalding (1983) "Towards a two-fluid model of turbulent
combustion in gases, with special reference to the spark-
ignition engine" Inst Mech Eng, London, paper c53/83, 1983
DB Spalding (1984)"The two-fluid model of turbulence applied to
combustion phenomena"
22nd AIAA Meeting, Reno, Nevada
DB Spalding (1987) "A turbulence model for buoyant and combusting
flows"; International J. for Numerical Methods in Engineering
vol 24, pp 1-23
DB Spalding (1993) Lecture delivered at "First International
Conference on Air Pollution", Monterrey, Mexico. The text is
included in "Lecture on the two-fluid turbulence model"
supplied with the PHOENICS software package
DB Spalding (1995a) "Models of turbulent combustion"
Proc. 2nd Colloquium on Process Simulation, pp 1-15
Helsinki University of Technology, Espoo, Finland
DB Spalding (1995b) "Multi-fluid models of turbulent
combustion"; CTAC95 Conference, Melbourne, Australia
DB Spalding (1995c) "Multi-fluid models of Turbulence",
European PHOENICS User Conference, Trento, Italy
DB Spalding (1996a) "Older and newer approaches to the numerical
modelling of turbulent combustion". Keynote address at 3rd
International Conference on COMPUTERS IN RECIPROCATING
ENGINES AND GAS TURBINES, 9-10 January, 1996, IMechE, London
DB Spalding (1996b) "Multi-fluid models of Turbulence; Progress and
Prospects; lecture to be presented at CFD 96, the Fourth Annual
Conference of the CFD Society of Canada, June 2 - 6, 1996,
Ottawa, Ontario, Canada
DB Spalding (1996c) "Progress report on the development of a multi-
fluid model of turbulence and its application to the paddle-
stirred mixer/reactor", invited lecture at 3rd Colloquium on
Process Simulation, Espoo, Finland, June 12-14
DB Spalding (1966d) Unpublished work at CHAM Ltd
RLT Sun (1982) "Application of the ESCIMO theory to turbulent
diffusion flames"; PhD Thesis, London University
LT Tam (1981) "The theory of turbulent flow with complex
chemical kinetics"; PhD Thesis, London University
ST Xi (1986) "Transient turbulent jets of miscible and
immiscible fluids"; PhD Thesis, London University
V Yakhot & S Orszag (1986) "Renormalization group analysis of
Turbulence. I. Basic theory"
J. Sci Comp, vol 1, no 1, pp 1-51
DC Wilcox (1993) "Turbulence modelling for CFD", DCW Industries,
La Canada, California
GC Williams, HC Hottel and AC Scurlock,(1949), 3rd Symposium on
Combustion, p21, Williams and Wilkins
WJ Wohlenberg "Minimum depth for flame front for stable
combustion ... in a gaseous system at constant pressure"
4th International Symposium on Combustion p 796
Williams and Wilkins, Baltimore, 1953
JZ Wu (1987) "The application of the two-fluid model of
turbulence to ducted flames" IC CFDU Report, June 1987
wbs