REVIEWS IN
TURBULENT FLUID FLOW
1. Reynolds, W. C., “Computation of Turbulent Flows”, Annual
Reviews of Fluid Mechanics, vol 8, pp. 183- 208, (1976)
2. Speziale, C. G.; “Analytical Methods for the Development of
Reynolds-Stress Closures in Turbulence”, Annual Reviews in
Fluid Mechanics, vol 23, pp. 107-157, (1991).
3. Gatski, T. B.; “Turbulent Flows: Model Equations and Solution
Methodology”, Handbook of Computational Fluid Mechanics,
ed. by Peyret, R., Academic Press, (1996).
4. Townsend, A.A.; “Turbulence”, Handbook of Fluid Dynamics,
ed. by Streeter, V., (1975).
MODELO K-E E SUAS VARIANTES
1.
Launder, B. E. and Spalding, D.B.; “The Numerical Computation of
Turbulent Flows”, Comp. Methods in Applied Mech. And Engng., vol.
3, pp. 269-289, (1974).
2.
Mohammadi, B. and Pironneau, O.; “Applied Mathematics and
Turbulence Modelling”, Int. J. for Numerical Meth. In Fluids, vol. 20,
pp. 819-829, (1995).
3.
Zijlema, M., Segal, A. and Wesseling, P.; “Invariant Discretization of
the K-E Model in General Co-ordinates for Prediction of Turbulent
Flow in Complicated Geometries”, Computers and Fluids, vol. 24,
pp. 209-225, (1995).
4.
Shih, T., Liou, W.W., Shabbir, A., Yang, Z. and Zhu, J.; “A New K-E
Eddy Viscosity Model for High Reynolds Number Turbulent
Flows”, Computers Fluids, vol. 24, n. 3, pp. 227-238, (1995).
5.
Chen, Y.S. and Kim, S.W.; “Computation of Turbulent Flow Using
an Extended K-E Turbulence Closure Model”, NASA REPORT, CR
179204, October (1987).
6.
Yakhot, V. and Orszag, A.S.; “Renormalization Group Analysis of
Turbulence – Basic Theory”, J. of Scientific Computing, vol. 1, n.1,
pp. 3-51, (1986).
7.
Yakhot, V. and Orszag, A.S., Thangam, S., Gatski, T.B. and Speziale,
C.G.; “Development of Turbulence Models for Shear Flows by a
Double Expansion Technique”, Phys. Of Fluids A, vol.4, n.7, pp.
1510-1520, (1992).
8. MEDIDAS EXPERIMENTAIS
1. Hanjalic, K. and Launder, B.E., “Fully Developed Asymetric Flow in a
Plane Channel”, J. Fluid Mech., vol. (51), part 2, pp. 301-335, (1972)
2. Launder B.E. and Ying W.M.; “Secondary Flows in Ducts of Square
Cross-Section”, J. Fluid Mech., vol (54), part 2, pp. 289-295, (1972)
3. Durst, F., Melling, A. and Whitelaw, J.H.; “Low Reynolds Number
Flow Over a Plane Symmetric Sudden Expansion”, J. Fluid Mech. ,
vol. 64, part 1, pp. 111-128, (1974).
4. Hussain, A.K.M.F. and Reynolds, W.C.; “Measurements in Fully
Developed Turbulent Channel Flow”, Trans. ASME – J. Fluids Engng.
pp. 568-580, December (1975).
5. Durst, F., scherholz, W.F. and Wunderlich, A.M.; “Experimental and
Numerical Investigations of Plane Duct Flows with Sudden
Contraction”, J. Fluids Engn – Trans. ASME, vol 109, pp. 376-383,
December (1987).
6. Liou, T.M, Kao, C.F., “Symmetric and Asymmetric Turbulent Flows
in a Rectangular Duct with a Pair of Ribs”, J. Fluids Engn. – Trans.
ASME, vol. 110, pp. 373-379, December, (1988).
7. Lim, K.S., Park, S.O. and Shim, H.S., “A Low Aspect Ratio BackwardFacing Step Flow”, Exp. Thermal and Fluid Sci.vol. 3, pp. 508-514,
(1990).
8. Clark, J.A.; “A Study of Incompressible Turbulent Boundary Layers
in Channel Flow”, J. of Basic Engn. – Trans. ASME, pp. 455-468,
December, (1968).
9. Meyer, L.; “Calibration of a Three-Wire Probe for Measurements in
Nonisothermal Flow”, Exp. Thermal and Fluid Sci, vol. 5, pp. 260-267,
(1992).
10. George, W.K., and Taulbee, D.B.; “Designing Experiments to Test
Closure Hypothses”, Exp. Thermal and Fluid Sci, vol. 5, pp. 249-259,
(1992).
11. Kim, W.J. and Patel, V.C.; “Origin and Decay of Longitudinal
Vortices in Developing Flow in a Curved Rectangular Duct”, J.
Fluids Engng. Trans. ASME, vol 116, pp. 45-52, March, (1994).
COMPARAÇÃO ENTRE MODELOS
1. Chen, Q.; “Comparison of Different K-E Models for Indoor Air Flow
Computations”, Numerical Heat Transfer, Part B, vol 28, pp. 353-369,
(1995).
2. Sarkar, S. and Bose T.K.; “Comparison of Different Turbulence
Models for Prediction of Slot-Film Cooling: Flow and Temperature
Field”, Numerical Heat Transfer, Part B, vol. 28, pp. 217-238, (1995).
3. Dutta, S. and Acharya, S.; “Heat Transfer and Flow Past a Backstep
with the Nonlinear K-E Turbulence Model and the Modified K-E
Turbulence Model”, Numerical Heat Transfer, Part A, vol. 23, pp. 281301, (1993).
4. Martinuzzi, R. and Pollard, A.; “Comparative Study of Turbulence
Models in Predicting Turbulent Pipe Flow Part I: Algebraic Stress
and K-E Models”, AIAA J., vol, 27, n.1, January, (1989).
5. Gerodimos, G. and So, R.M.C.; “Near-Wall Modelling of Plane
Turbulent Wall Jets”, J. Fluids Engng. Trans ASME, vol. 119, June,
(1997).
6. Sotiropoulos, F. and Ventikos, Y.; “Flow Through a Curved Duct
Using Nonlinear Two-Equation Turbulence Models”, AIAA J., vol.
(36), n.7, July, (1998).
STRESS MODELS
1. Hanjalic, K. and Launder, B.E.; “A Reynolds Stress Model of
Turbulence and its Application to Thin Shear Flows”, J. Fluid Mech.
Vol. 52, part 4, pp. 609-638, (1972).
2. Demuren, A. O. and Rodi, W.; “Calculation of Turbulence-Driven
Secondary Motion in Non-Circular Ducts”, J. Fluid Mechanics, vol.
140, pp. 189-222, (1984).
3. Warfield, M.J. and Lakshminarayana, B.; “Computation of Rotating
Turbulent Flow with an Algebraic Reynolds Stress Model”, AIAA J.,
vol. 25, n. 7, July, (1987).
4. Gatski, T.B. and Speziale, C.G.; “On Explicit Algebraic Stress Models
for Complex Turbulent Flows”, J. Fluid Mech., vol. (254), pp. 59-78,
(1993).
5. Shih, T.H., Zhu, J. and Lumley, J.L.; “A New Reynolds Stress
Algebraic Equation Model”, Comput. Methods Appl. Mech. Engng.,
vol. 125, pp. 287-302, (1995).
LAW OF THE WALL & FUNDAMENTALS
1. Panton, R.L.; “Scaling Turbulent Wall Layers””, (1990)
2. Spalding, D.B.; “A Single Formula for the Law of the Wall”, (1961)
3. Van Driest, E.R., “On Turbulent Flow Near a Wall”, (1956)
4. Kutateladze, S.S.; “The Mixing Length Hypothesis in Turbulence
Theory”, (1984)
5. Hinze, J.O.; “Secondary Currents in Wall Turbulence”, (1961)
6. Bradshaw, P. and Huang, G.P., “The Law of the Wall in Turbulent
Flow”
7. Cruz, D.O.A., et al, “Uma Formulação de Lei de Parede para
Escoamentos Turbulentos com Separação e trocoa de Calor”
8. Yoshizawa, A. and Nisizima, S.; “A nonequilibrium representation of
the turbulent viscosity based on a two-scale turbulence theory”
9. Bradshaw, P. and Perot, J.B.; “A note on turbulent energy
dissipation in the viscous wall region”
K-E MODELS FOR LOW REYNOLDS NUMBER FLOWS
1. Patel, V.C., Rodi, W. and Scheuere, G.; “Turbulence Models for NearWall and Low Reynolds Number Flows: A Review”, (1984)
2. Jones, W.P. and Launder, B.E.; “The Calculation of Low-Reynolds
Number Phenomena with a Two-Equation Model of Turbulence”, (1972).
3. Lam, C.K.G. and Bremhorst, K.; “A Modified Form of the K-E Model for
Predicting Wall Turbulence”, (1981).
4. Nagano, Y. and Tagawa, M.; “An Improved K-E Model for Boundary
Layer Flows”, (1990)
5. Abe, K., Kondoh, T. and Nagano, Y.; “A New Turbulence Model for
Predicting Fluid Flow and Heat Transfer in Separating and Reattaching
Flows – I. Flow Field Calculations”, (1993).
6. Rousseau, A.N., Albright, L.D. and Torrance, K.E.; “A Short Comparison
of Damping Functions of Standard Low-Reynolds-Number K-E Models”,
(1997).
STREAMLINE CURVATURE EFFECTS
ON WALL BOUNDE D TURBULENT FLOWS
1. Bradshaw, P.; “Turbulent Secondary Flows”, (1987).
2. Patel, B.C. and Sotiropoulus, F.; “Longitudinal Curvature Effects in
Turbulent Boundary Layers”, (1997)
3. Luo, J. and Lakshiminarayana, B.; “Analysis of Stream Line Curvature
Effects on Wall-Bounded Turbulent Flows”, (1997).
4. Launder, B.E., Priddin, C.H. and Sharma, B.I.; “The Calculation of
Turbulent Boundary Layers on Spinning and Curved Surfaces”,
(1977).
5. Lakshiminarayana, B.; “Turbulence Modeling for Complex Shear
Flows”, (1986).