Stabilizing and Destabilizing Effects of Coriolis Force on Two-Dimensional Laminar and Turbulent Boundary Layers

Koyama, Hide S.; Masuda, Shinji; Ariga, Ichiro; Watanabe, Ichirô

doi:10.1115/1.3446448

Cited by 43 publications

(20 citation statements)

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“…Ro > 0.5, the entire flow can be stabilized. In such experiments (see, e.g., MacFarlane et al 1998;Bidokhti & Tritton 1992;Watmuff et al 1985;Koyama et al 1979;Johnston et al 1975) the rotationally stabilized parts of the flow show reduced levels of turbulence, or laminarized flow. When rotation is increased at fixed Re, further reduction -including apparent disappearance -of turbulence is observed.…”

Section: Relevant Laboratory and Numerical Resultsmentioning

confidence: 99%

Accretion disk instability revisited

Yecko¹

2004

A&A

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Abstract. Accretion disk flow in a local Cartesian (or "shearing box") approximation is examined for viscous three-dimensional linear disturbances. Eigenvalue computations predict that the flow is asymptotically stable unless the rotation number falls in the range 0 < Ro < 1/2, in agreement with predictions of inviscid theory; Keplerian flow (Ro = 1/q = 2/3) is accordingly stable. Analysis of non-modal disturbances predicts large transient amplification factors, implying that the flow, although asymptotically stable, may be transiently unstable. Strong rotation, including Keplerian, two-dimensionalizes the system: the largest growth factors are found for disturbances which are uniform along the direction of the rotation axis and amplification occurs via the Orr mechanism, as in 2D shear flow. Amplification factors scale as Re 2/3 , implying very strong growth in actual disks. The implications of transient instability of rotating shear on disk turbulence are discussed.

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Section: Relevant Laboratory and Numerical Resultsmentioning

confidence: 99%

Accretion disk instability revisited

Yecko¹

2004

A&A

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“…of a turbulent flow. To account for these effects, some proposals have been made to modify the k-e equations [16] and/or the constants in the wall functions [22] to be discussed in the next section.…”

Section: Modifications To the Turbulence Modelmentioning

confidence: 99%

Prediction of Turbulent Flow and Heat Transfer in a Radially Rotating Square Duct

Prakash

Zerkle

1992

Journal of Turbomachinery

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The present study deals with the numerical prediction of turbulent flow and heat transfer in a rotating duct of square cross section. The axis of rotation is normal to the axis of the duct, and the flow is radially outward. The duct is smooth, of finite length, and the walls are isothermal at a temperature greater than the temperature of the incoming fluid. Both the Coriolis and the centrifugal-buoyancy effects are considered; the problem is three dimensional and fully elliptic. The predicted flow field is found to be quite complex, consisting of secondary cross-stream flows due to the Coriolis effects. Centrifugal buoyancy increases the radial velocity of the cooler fluid near the trailing face and decreases the radial velocity of the warmer fluid near the leading face; indeed, when the buoyancy effects are sufficiently strong, reverse radial flow may occur over the leading face. Rotation is found to increase the heat transfer over the trailing face, while, over the leading face, the heat transfer decreases near the inlet but increases further downstream. This finding agrees with the experimental observations. The quantitative agreement with the data is also satisfactory. The predictions are found to be quite sensitive to the inlet conditions, in particular, to the presence of rotational effects in the incoming stream. The effect of exit boundary conditions is examined by comparing the predictions for a single passage with those for a double-leg passage.

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“…The parameter ÿ is the Monin-Oboukhov coe cient [19]. Based on detailed experiments, ÿ is found to ÿt the correlation [20]: where…”

Section: Governing Equationsmentioning

confidence: 99%

Finite element study of free surface turbulent flow in rotating channels

Pagalthivarthi

Ramanathan

2002

Numerical Methods in Fluids

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SUMMARYUnder certain conditions of liquid ow through rotating channels, the Coriolis force can induce a free surface to be formed. This problem is of practical importance in a Coriolis wear tester, which is used for determining the sliding wear coe cient of wear materials in slurry handling equipment. A deforming Galerkin ÿnite element method is presented for predicting two-dimensional turbulent free surface mean ow in rotating channels. Reynolds-averaged Navier-Stokes (RANS) equations are cast into weak (algebraic) form using primitive variables (velocity and pressure). Eddy viscosity is determined via a mixing length model. Velocity is interpolated biquadratically, while pressure is interpolated bilinearly. The kinematic condition is used to form the Galerkin residual for the free surface. The free surface is represented by Hermite polynomials of zeroeth order for continuity of position and slope. Combined Newton's iteration is used to simultaneously solve for the free surface and the ÿeld variables. Results of velocity and pressure ÿelds, as well as the free surface are shown to converge with mesh-size reÿnement. There is excellent respect for mass conservation. Results are presented for various values of Rossby number (Ro) and height-based Reynolds number (Re H ). Parameter continuation in Ro and Re H space is used to compute solutions at higher values of ow rate and angular velocity.

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Stabilizing and Destabilizing Effects of Coriolis Force on Two-Dimensional Laminar and Turbulent Boundary Layers

Cited by 43 publications

References 0 publications

Accretion disk instability revisited

Accretion disk instability revisited

Prediction of Turbulent Flow and Heat Transfer in a Radially Rotating Square Duct

Finite element study of free surface turbulent flow in rotating channels

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