Experimental study of the behavior of the energy spectrum in a turbulent flow in a tube rotating relative to its longitudinal axis

Zaets, P. G.; Onufriev, A. T.; Safarov, N. A.; Safarov, R. A.

doi:10.1007/bf00864499

Cited by 3 publications

(2 citation statements)

References 9 publications

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“…Investigation of the alter ego of this flowfield, the spinning cylinder, 38,39 where the rotational effects are destabilizing, and turbulence enhancing, is ongoing, and flow invariant based versions of the Richardson number (rotation) and curvature corrections done with earlier (ad-hoc) turbulence model corrections [8][9][10][11]40 is ongoing, and initial results are promising.…”

Section: Conclusion -Further Workmentioning

confidence: 98%

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Reynolds-stress and triple-product models applied to flows with rotation and curvature

Olsen

2016

46th AIAA Fluid Dynamics Conference

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Turbulence models, with increasing complexity, up to triple product terms, are applied to the flow in a rotating pipe. The rotating pipe is a challenging case for turbulence models as it contains significant rotational and curvature effects. The flowfield starts with the classic fully developed pipe flow, with a stationary pipe wall. This well defined condition is then subjected to a section of pipe with a rotating wall. The rotating wall introduces a second velocity scale, and creates Reynolds shear stresses in the radial-circumferential and circumferential-axial planes. Furthermore, the wall rotation introduces a flow stabilization, and actually reduces the turbulent kinetic energy as the flow moves along the rotating wall section. It is shown in the present work that the Reynolds stress models are capable of predicting significant reduction in the turbulent kinetic energy, but triple product improves the predictions of the centerline turbulent kinetic energy, which is governed by convection, dissipation and transport terms, as the production terms vanish on the pipe axis. NomenclatureM ∞ free stream Mach number R pipe radius (reference length) R ij Reynolds-stress tensor = u i u j Re τ wall shear Reynolds number [= u τ R/ν w ] S ij strain rate tensor = 1 2 ∂u i ∂x j + ∂u j ∂x i

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Section: Conclusion -Further Workmentioning

confidence: 98%

“…This flowfield [8][9][10][11] is a twist on a fully developed pipe flow -literally. A fully developed pipe flow encounters a step change in the wall boundary condition, a rotating pipe wall.…”

Section: Introductionmentioning

confidence: 98%

Reynolds-stress and triple-product models applied to flows with rotation and curvature

Olsen

2016

46th AIAA Fluid Dynamics Conference

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Structure of a rising thermal

Gorbunov

Gordeichik

Darintsev

et al. 1992

J Appl Mech Tech Phys

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Experimental study of spectra corresponding to some two-point fourth-order moments in a developed turbulent flow in a tube

Zaets¹,

Onufriev²,

Safarov³

et al. 1995

J Appl Mech Tech Phys

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532.517.4 In [1, 2] the results of hot-wire measurements of spectral distributions corresponding to second-and third-order moments were reported. This paper deals with spectral distributions related to some fourth-order moments for pulsatory velocities of a turbulent flow.The measurements were taken in a developed turbulent flow in a straight tube of diameter 2R0 = 0.06 m. The Reynolds number Re calculated from the mean flow velocity and the tube diameter was equal to 3.47-104. The axial flow velocity was equal to 10 m/see, the kinematic viscosity coefficient u = 1.4.10 -5 m2/sec, and the friction velocity v. = 0.433 m/see. The unit and experimental method employed were described in [1][2][3][4][5].One of the goMs of this study was to verify whether or not an approximate similarity principle existed in the energy range of wavenumbers. This principle would provide a sufficiently universal representation of spectral distributions divided by the magnitudes of corresponding one-point moments by using wavenumbers normalized on an integrM correlation scale. As such a scale we chose an "isotropic" longitudinal integral scale A0 calculated from the local values of the energy of fluctuations and the rate of energy dissipation (see [6]).To evaluate the spectrum, the fast Fourier transform and the procedure described in [7] were used. The flow is described in more detail in [2]. Spectra E~z,rr(k) of differences between the two-point fourth-order moments and the corresponding products of the one-point second-order moments not increasing with the distance between the points have been measured, for example, (U**,rr) --(U2~)(U 2} [8, 9]. Velocity fluctuations are as follows: u, = Ul, Ur = U2, U~ = U3. The subscripts 1 and 2 in the spectra correspond to subscripts x and r respectively. Spectra of the moments, in which the two components of velocity fluctuations correspond to one point and the two components of velocity correspond to the other, have been considered. The distance between the points varied along the flow axis. The transition to wavenumbers was done according to Taylor's formula k = 2~f/(V~}, where (Vx/ is the local mean value of the longitudinal flow velocity, and f is the frequency, the dependence on which is determined experimentally.The correspondence of the spectra and moments is given in Table 1. The measured values of the onepoint fourth-order moments divided by v. 4 are shown in Table 2. The data for the second-and third-order moments were reported in [2].The fourth-order moments have been calculated from the spectral distributions. The values of the onepoint moments for the longitudinal velocity fluctuations measured with an x-shaped and a single-wire probes differ by around 6%. A comparison with the results reported in [10, 11] is shown in Table 3 for the excess coefficients 51 -3 = (u4)/(u21) 2 -3, 52 -3 and 5 3 --3. For [10] the superscripts correspond to Re = 8-104, the subscripts to 4.104 . The agreement is satisfactory.Moscow Physico-Technical Institute, Dolgoprudnyi Moscow Region 111700.

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Experimental study of the behavior of the energy spectrum in a turbulent flow in a tube rotating relative to its longitudinal axis

Cited by 3 publications

References 9 publications

Reynolds-stress and triple-product models applied to flows with rotation and curvature

Reynolds-stress and triple-product models applied to flows with rotation and curvature

Structure of a rising thermal

Experimental study of spectra corresponding to some two-point fourth-order moments in a developed turbulent flow in a tube

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