Summary
Developing turbulent flow simulations in 90° curved duct of rectangular cross section and an aspect ratio of 6 were performed by means of an in-house 3D computational tool. The analysis was aimed at establishing the capability of the code to predict complex flow features such as those that occur in similar devices. Two computations were carried out respectively, with and without a curvature effect correction to the turbulence model and results were compared with available experimental data.
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Abbreviations
- Cμ,C∈1,C∈2 :
-
constants of k-∈ turbulence model, Cμ=0.09, C∈1=1.44, C∈2=1.92
- Cl = 0.41:
-
Von Karman constant
- k:
-
turbulence kinetic energy
- H:
-
width of the duct, reference length, H=20.3 cm
- L:
-
turbulent length scale
- y:
-
distance normal to wall
- p,pt :
-
static and total pressure
- Sij :
-
strain rate of mean field
- U:
-
streamwise velocity
- Ui :
-
mean field velocity component in tensor notation
- ui :
-
velocity fluctuation component in tensor notation
- Xi :
-
spatial coordinates component in tensor notation
- δij :
-
Kronecker delta, 1 for i=j, 0 for i≠j
- ∈:
-
rate of dissipation of turbulence kinetic energy
- μ,μl :
-
molecular and eddy viscosities
- ρ:
-
mass density
- σk,σε :
-
constants of k-∈ turbulence model, σk=1, σε = 1.3
- τn:
-
wall shear stress
- UT :
-
friction velocity
- V:
-
velocity magnitude
- U0po:
-
reference velocity and pressure at location (0,0,3H)
- Cp :
-
2(p-p0)/ρU 20 = pressure coefficient
- Cf :
-
2τ n /ρU 20 = friction coefficient
- v:
-
edge of sublayer
- n:
-
upper edge of turbulent boundary layer
References
4th ERCOFTAC/IAHR Workshop on Data Bases and Testing of Calculation Methods for Turbulent Flows-Test Case Descriptions, University of Karlsruhe, April 3–7, 1995.
W.J. KIM and V.C. PATEL-“Origin and Decay of Longitudinal Vortices in Developing Flow in a Curved Rectangular Duct”-Journal of Fluids Engineering, 116, 45, 1994.
B.E. LAUNDER and D.B. SPALDING-“The Numerical Computation of Turbulent Flows”, Computer Methods in Applied Mechanics and Engineering, Vol. 3, 1974, pp. 269–289.
B.E. LAUNDER-“On the Computation of Convective Heat Transfer in Complex Turbulent Flows”, Transactions of the ASME, Vol. 110, November 1988, pp. 1112–1127.
R.E. CHILDS and S.C. CARUSO, “Assessment of Modeling and Discretization Accuracy for High Speed Afterbody Flows”, AIAA paper No 89-0531, Jan. 1989.
R.E. CHILDS and S.C. CARUSO, “Turbulence Modeling for Complex Ground Effects Flows”, SAE Technical Paper Series No 901062, April 1990.
S. MAJUMDAR, W. RODI, J. ZHU-“Three-Dimensional Finite Volume Method for Incompressible Flows With Complex Boundaries”, Journal of Fluids Engineering, December 1992, Vol. 114, pp. 496–511.
J.P. van DORMAAL, G.D. RAITHBY-“Enhancements of the SIMPLE Method for Predicting Incompressible Fluid Flows”, Numerical Heat Transfer, Vol. 7, pp. 147–163, 1984
H.L. STONE-“Iterative Solution of Implicit Approximations of Multidimensional Partial Differential Equations”, SIAM journal on Numerical Analysis, Vol. 5, pp. 530–558, 1968.
B.P. LEONARD-“Locally Modified QUICK Scheme for Highly Convective 2-D and 3-D Flows”, Proceedings, 5th International Conference on Numerical methods in Laminar and turbulent flow, Montreal, 1987, pp. 35–47.
BRAM VAN LEER-“Upwind Difference Methods for Aerodynamic Problems Governed by the Euler Equations”, Lectures in Applied Mathematics, Volume 22-2, pp. 327–335, American Mathematical Society, Providence, 1985.
C.M. RHIE and W.L. CHOW, “Numerical Study of the Turbulent Flow past an Airfoil With Trailing Edge Separation”, AIAA Journal, Vol. 21, pp. 1525–1532, 1983.
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© 1996 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig/Wiesbaden
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Di Martino, P., Terlizzi, A., Cinque, G. (1996). Navier-Stokes 3D Computational Analysis of Incompressible Turbulent Flow in a Curved Rectangular Duct. In: Deville, M., Gavrilakis, S., Ryhming, I.L. (eds) Computation of Three-Dimensional Complex Flows. Notes on Numerical Fluid Mechanics (NNFM), vol 49. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-89838-8_7
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DOI: https://doi.org/10.1007/978-3-322-89838-8_7
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