Numerical Prediction of Turbulent Flow in Rotating Cavities

Morse, A. P.

doi:10.1115/1.3262181

Cited by 59 publications

(31 citation statements)

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“…The present results for the rotating cavity show similar agreement with experiment to those of Morse (1987), who used a different version of the k-e model. Morse presented a more thorough evaluation against experimental data, giving results at higher rotational Reynolds numbers and for both radial outflow and inflow of fluid.…”

Section: Referencessupporting

confidence: 80%

Discussion: “Turbulent Flow Velocity Between Rotating Co-Axial Disks of Finite Radius” (Louis, J. F., and Salhi, A., 1989, ASME J. Turbomach., 111, pp. 333–340)

Chew

1989

Journal of Turbomachinery

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radial outflow. The model proposed by Lam and Bremhorst is used in this study and the predictions compare very favorably with the experimental results of Pincombe for an outflowing cavity and of Owen for the flow between rotating and stationary disks. Based on this validation of the model, the flow between counterrotating disks is predicted as is the variation of the radial tangential wall shear stress with Rossby number. The model does not include any effect of possible turbulence anisotropy due to rotational effects and it would be of interest to map the flow regimes for which the Lam-Bremhorst model can be used. The performance of different turbulent models in rotating disk flows is certainly of interest and I agree with the authors' statement that it would be of interest to map out the flow regimes for which the Lam-Bremhorst model can be used. ReferencesThe present results for the rotating cavity show similar agreement with experiment to those of Morse (1987), who used a different version of the k-e model. Morse presented a more thorough evaluation against experimental data, giving results at higher rotational Reynolds numbers and for both radial outflow and inflow of fluid. It is a pity that the present results are restricted to Re,, = JO 5 when data are available for Re e up to 10 6 . Can the authors give any indication of the performance of the Lam-Bremhorst model at higher values of Re"?As noted by the authors there is some discrepancy between prediction and measurements near the rotor in Fig. 1, which gives the radial velocity profile for flow between a rotating Rolls-Royce pic, Derby, United Kingdom. and stationary disk. As a further guide to the accuracy of the model in this important near-wall region, it would be useful to compare the predicted and measured disk moment coefficients.The predictions for the flow between counterrotating disks in Figs. 9 to 15 show surprising features. For example, from Figs. 9, 11, and 12 it appears that the formation of the Ekmantype layers occurs abruptly when a critical radius is reached. This contrasts with the progressive entrainment of flow into the disk boundary layers identified by Chew et al. (1984). As numerical solution of the governing equations for these flows is known to present some difficulties the question of the accuracy of the present solutions naturally arises. Did the authors encounter any difficulties in obtaining convergence of the iterative solution and to what degree are the results affected by truncation error?

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Section: Referencessupporting

confidence: 80%

Discussion: “Turbulent Flow Velocity Between Rotating Co-Axial Disks of Finite Radius” (Louis, J. F., and Salhi, A., 1989, ASME J. Turbomach., 111, pp. 333–340)

Chew

1989

Journal of Turbomachinery

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“…The first numerical modeling in the rotor/stator cavity was performed by Morse (1987) who used a modified version of the low Reynolds number k-e model proposed by Launder and Sharma (1974). Chew and Vaughan (1988) solved the Reynolds equations in the rotor/stator cavity using a finite difference method and a mixing length model.…”

Section: Introductionmentioning

confidence: 99%

LES of the non-isothermal transitional flow in rotating cavity

Tuliszka‐Sznitko

Zieliński

Majchrowski

2009

International Journal of Heat and Fluid Flow

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“…The lowReynolds-number version of the k-ε model reveals unrealistic trends to flow laminarization in the cavity [8]. The Launder-Sharma modification of the k-ε model does not always produce acceptable results either [9].…”

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Moment of Resistance of a Disk Rotating in a Closed Axisymmetric Cavity

Волков

2006

J Appl Mech Tech Phys

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A turbulent flow in a closed axisymmetric cavity with a rotating disk is considered. The moment of resistance to disk rotation is calculated as a function of the dimensionless gap between the motionless casing and rotating disk and of the Reynolds number. Results calculated on the basis of different turbulence models are compared with data of a physical experiment and with available correlations.Introduction. Design of advanced gas-turbine engines is almost impossible without using numerical methods for calculating internal turbulent flows and heat transfer of a viscous compressible gas in complicated geometric configurations. The validity of using particular turbulence models and numerical methods is normally tested on simpler problems, which have simpler geometry but retain the key aspects of the initial formulation, e.g., flow swirl or rotation of one or several boundary surfaces.One of such problems is the flow in a closed axisymmetric cavity with a rotating disk. This problem has been intensely addressed in the literature [1-10] because of the simple geometry and still rather complicated flow caused, in particular, by formation of the Ekman layers on the rotating disk and by heat transfer.Four flow regimes are identified [1-3] depending on the dimensionless gap G = s/b (Fig. 1) between the casing (stator) and disk (rotor) and on the Reynolds number Re = ωb 2 /ν based on the angular velocity ω and disk radius b (Fig. 2).Regime I corresponds to rather small gaps; the thickness of the laminar boundary layers on the stator and rotor approximately equals the half-width of the cavity (the boundary layers on the stator and rotor merge), and the action of viscous forces extends to the entire computational domain. In regime II, the laminar boundary layers on the stator and rotor are separated by a liquid layer in which the effect of viscosity is rather low. In contrast to regime I, the tangential component of velocity in the core flow is independent of the axial coordinate, and the radial component of velocity is almost zero.Regimes III and IV are equivalent to regimes I and II, except for the fact that the boundary layers on the stator and rotor are turbulent.The main contribution to changes in velocity of the liquid in regimes II and IV is made by the Ekman layers formed on the walls orthogonal to the axis of rotation [4].In some cases, the use of the approximation of a freely rotating disk is sufficient to find the integral characteristics of the flow. For turbomachinery wheels rotating in narrow shrouds whose width is small as compared to the disk radius, however, the free-disk approximation is inapplicable and yields large errors [4].In regime I (with Re < 10 4 ), the moment coefficient is evaluated theoretically; approximate estimates are obtained in regimes II (with Re < 10 5 ) and III [4]. The estimates for regimes II and III are independent of the shroud width and yield moment coefficients that are 16% lower than the measured values.The following correlations (for two sides of the disk) are available for est...

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Numerical Prediction of Turbulent Flow in Rotating Cavities

Cited by 59 publications

References 0 publications

Discussion: “Turbulent Flow Velocity Between Rotating Co-Axial Disks of Finite Radius” (Louis, J. F., and Salhi, A., 1989, ASME J. Turbomach., 111, pp. 333–340)

Discussion: “Turbulent Flow Velocity Between Rotating Co-Axial Disks of Finite Radius” (Louis, J. F., and Salhi, A., 1989, ASME J. Turbomach., 111, pp. 333–340)

LES of the non-isothermal transitional flow in rotating cavity

Moment of Resistance of a Disk Rotating in a Closed Axisymmetric Cavity

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