Computation of turbulent rotating channel flow with an algebraic Reynolds stress model

Warfield, Matthew J.; Lakshminarayana, B.

doi:10.2514/6.1986-214

Cited by 2 publications

(3 citation statements)

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“…19 Figure 5 shows the effect of rotation on the production-dissipation rate. Although quantitative features of this ratio are difficult to predict (and measure), the overall effect of rotation appears principally on the trailing side with an enhanced production-dissipation ratio.…”

Section: Numerical Results and Analysismentioning

confidence: 99%

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Computation of rotating turbulent flow with an algebraic Reynolds stress model

Warfield

Lakshminarayana

1987

AIAA Journal

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Rotation has a strong effect on the structure of turbulent flows. Turbulence models based on isotropic eddy viscosity are ineffective at predicting such flows. An algebraic Reynolds stress model has been implemented to modify the Kolmogorov-Prandtl eddy-viscosity relation to produce an anisotropic turbulence model. The eddyviscosity relation becomes a function of the local turbulent production-dissipation ratio and local turbulence/rotation parameters. A three-dimensional model is presented, and a two-dimensional form is utilized to predict fully developed rotating channel flow over a wide range of rotation numbers. In addition, predictions are obtained for a developing channel flow with high rotation. The predictions are compared with available experimental data. Good predictions are achieved for mean velocity and wall shear stress over most of the rotation speeds tested. There is some prediction breakdown at high rotation (ft greater than 0.10), where the effects of the rotation on turbulence become quite complex. At high rotation and low Reynolds number, laminarization on the trailing side of the channel represents a complex effect of rotation that is difficult to predict with the described models. NomenclatureA, C = constants in law of wall relation C^ = eddy-viscosity coefficient d = channel width gjj km = mean velocity derivative ratios defined in Eq. (18) k = turbulence kinetic energy = (w, w ; ) /2 p = static pressure normalized by pU 2 P = production of kinetic energy, defined in Eq. (4) q = unknown vector = [p t U, V] Re -Reynolds number = U m d/v r k» r ijk -turbulence parameters defined in Eq. (18) U it U, V -mean velocities normalized by U m U* = wall shear velocity = (T O ) 1/2 U+ = wall velocity variable = U/U* u if u,v = velocity fluctuations u t Uj = Reynolds stress tensor normalized by Lfa Xj = coordinate directions y = distance normal to leading side (Fig. 1) normalized byd y+ = wall length variable =yU*Re djj = Kronecker delta e = dissipation of turbulence kinetic energy e ijfc = alternating tensor K = von Karman constant v = kinematic viscosity v t = eddy viscosity p = density a = small negative coefficient for space marching r 0 = normalized wall shear stress = [dU/dy] Q Re a? = rotation rate, 1/s fi = rotation number = ud/U m Subscripts 8 = values at edge of boundary layer e = dissipation equation k = kinetic energy equation m = average p = modification of pressure for space marching s = slip a = modification of vector for space marching 0 = wall value 1 = first grid point from wall

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Section: Numerical Results and Analysismentioning

confidence: 99%

“…1), where the result reduces to (19) Equation (19) effectively gives C^ as a function of P/e, r 3 , and r l23 . Using values for the constants of Q^l.5 and C 2 -0.6, Eq.…”

Section: Application To Rotating Channel Flowmentioning

confidence: 96%

Computation of rotating turbulent flow with an algebraic Reynolds stress model

Warfield

Lakshminarayana

1987

AIAA Journal

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“…The model (Warfield and Lakshminarayana (1987)) is a three-dimensional extension of the model presented by Warfield and Lakshminarayana (1986) and is derived from the Algebraic Reynolds Stress Model (ARSM) of Galmes and Lakshminarayana (1984), given by:…”

Section: Turbulence Modellingmentioning

confidence: 99%

Calculation of a Three-Dimensional Turbomachinery Rotor Flow With a Navier-Stokes Code

Warfield

Lakshminarayana

1987

Volume 1: Turbomachinery

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This paper deals with a numerical solution of the full Navier-Stokes equations governing the flowfield in a turbomachinery rotor. The incompressible equations are solved using a pseudocompressibility time marching code. A two-equation turbulence model (k-ε) coupled with a vectorial eddy viscosity model based on an Algebraic Reynolds Stress Model is used to account for the anisotropic effects of rotation and three dimensionality. The predictions are compared with laser doppler velocimeter and hot wire data acquired in a compressor rotor passage at two different flow coefficients. The predicted blade to blade profiles of velocity at various radial locations as well as the streamwise velocity profiles in the blade boundary layer show good agreement with experimental data. The radial velocities are qualitatively predicted but good comparison with data was not achieved. Boundary layer growth is predicted reasonably well.

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Computation of turbulent rotating channel flow with an algebraic Reynolds stress model

Cited by 2 publications

References 0 publications

Computation of rotating turbulent flow with an algebraic Reynolds stress model

Computation of rotating turbulent flow with an algebraic Reynolds stress model

Calculation of a Three-Dimensional Turbomachinery Rotor Flow With a Navier-Stokes Code

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