Analysis of streamline curvature effects on wall-bounded turbulent flows

Analysis of Streamline Curvature Effects on Wall-Bounded Turbulent Flows

Engineering Turbulence Modelling and Experiments ◽

10.1016/b978-0-444-82463-9.50012-5 ◽

1996 ◽

pp. 59-69 ◽

Cited By ~ 2

Author(s):

J. Luo ◽

B. Lakshminarayana

Keyword(s):

Turbulent Flows ◽

Streamline Curvature ◽

Curvature Effects

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On Turbulent Flows Dominated by Curvature Effects

Journal of Fluids Engineering ◽

10.1115/1.2909999 ◽

1992 ◽

Vol 114 (1) ◽

pp. 52-57 ◽

Cited By ~ 24

Author(s):

G. C. Cheng ◽

S. Farokhi

Keyword(s):

Turbulent Flows ◽

Turbulence Model ◽

Dominant Role ◽

Longitudinal Velocity ◽

Turbulence Models ◽

Separated Flows ◽

Local Curvature ◽

Streamline Curvature ◽

Curvature Effects ◽

Numerical Predictions

A technique for improving the numerical predictions of turbulent flows with the effect of streamline curvature is developed. Separated flows and the flow in a curved duct are examples of flow fields where streamline curvature plays a dominant role. New algebraic formulations for the eddy viscosity μt incorporating the k–ε turbulence model are proposed to account for various effects of streamline curvature. The loci of flow reversal (where axial velocities change signs) of the separated flows over various backward-facing steps are employed to test the capability of the proposed turbulence model in capturing the effect of local curvature. The inclusion of the effect of longitudinal curvature in the proposed turbulence model is validated by predicting the distributions of the longitudinal velocity and the static pressure in an S-bend duct and in 180 deg turn-around ducts. The numerical predictions of different curvature effects by the proposed turbulence models are also reported.

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Analysis of Streamline Curvature Effects on Wall-Bounded Turbulent Flows

AIAA Journal ◽

10.2514/2.241 ◽

1997 ◽

Vol 35 (8) ◽

pp. 1273-1279 ◽

Cited By ~ 11

Author(s):

Jiang Luo ◽

Budugur Lakshminarayana

Keyword(s):

Turbulent Flows ◽

Streamline Curvature ◽

Curvature Effects

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Prediction of streamline curvature effects on wall-bounded turbulent flows

International Journal of Heat and Fluid Flow ◽

10.1016/s0142-727x(00)00052-7 ◽

2000 ◽

Vol 21 (5) ◽

pp. 614-619 ◽

Cited By ~ 4

Author(s):

Nobuyuki Shima ◽

Takafumi Kawai ◽

Masayoshi Okamoto ◽

Ryuta Tsuchikura

Keyword(s):

Turbulent Flows ◽

Streamline Curvature ◽

Curvature Effects

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Streamwise Curvature Effect on the Incompressible Turbulent Mean Velocity Over Curved Surfaces

Journal of Fluids Engineering ◽

10.1115/1.1287268 ◽

2000 ◽

Vol 122 (3) ◽

pp. 547-551 ◽

Cited By ~ 7

Author(s):

N. Kim ◽

D. L. Rhode

Keyword(s):

Turbulent Flows ◽

Richardson Number ◽

Solution Technique ◽

Mean Velocity ◽

Law Of The Wall ◽

Streamline Curvature ◽

Curvature Effects ◽

Gradient Richardson Number ◽

The Mean ◽

Strong Curvature

A curvature law of the wall, which determines the mean velocity profile, is analytically derived for near-wall turbulent flows to include strong curved-channel wall curvature effects through a perturbation analysis. The new law allows improved analysis of such flows, and it provides the basis for improved wall function boundary conditions for their computation (CFD), even for strong curvature cases. The improved law is based on the algebraic eddy viscosity and curvature-corrected mixing length concepts, the latter of which is a linear function of the gradient Richardson number. To include the complete Richardson number effects, the local streamline curvature effects in the gradient Richardson number are kept. To overcome the mathematical difficulty of keeping all of these local streamline curvature terms, an innovative nonconstant-parameter perturbation solution technique is successfully applied. [S0098-2202(00)00903-2]

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Novel Perturbation Analysis for a Widely Applicable Curvature Law of the Wall

10.1115/imece1999-1210 ◽

1999 ◽

Author(s):

Namhyo Kim ◽

David L. Rhode

Keyword(s):

Perturbation Analysis ◽

Richardson Number ◽

Perturbation Technique ◽

Solution Approach ◽

Law Of The Wall ◽

Streamline Curvature ◽

Curvature Effects ◽

Gradient Richardson Number ◽

Closed Form Analytical Solution ◽

First Time

Abstract A streamline curvature law of the wall is analytically derived to include very strong curved-channel wall curvature effects through a novel perturbation analysis. The new law allows improved analysis of such flows, and it provides the basis for improved wall function boundary conditions for their computation (CFD) over a wider range of y+, even for very strong curvature cases. The unique derivation is based on the Boussinesq eddy viscosity and curvature-corrected mixing length concepts, which is a linear function of the gradient Richardson number. For the first time, to include more complete curved flow physics, local streamline curvature effects in the gradient Richardson number are kept. To overcome the mathematical difficulty of keeping all of these local streamline curvature terms, a novel perturbation solution approach is successfully developed. This novel perturbation technique allows a closed-form analytical solution to many similar non-linear problems which previously required more complicated techniques. Qualitative and quantitative comparisons with measurements and previous curvature laws of the wall obtained by different approaches reveal that the new law shows improved representation of the wall curvature effects for all of the four test cases.

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