Stationary spiral waves in film flow over a spinning disk

Sisoev, Grigori M.; Goldgof, Dmitry B.; Korzhova, Valentina N.

doi:10.1063/1.3429601

Cited by 9 publications

(3 citation statements)

References 30 publications

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“…Bohr et al (1993) used the IBL approach for the description of the hydraulic jump. Equations obtained by this approach describe nonlinear (Sisoev et al 2003) and stationary spiral (Sisoev, Goldgof & Korzhova 2010) waves on a rotating disk. More complicated methods involving shape factors (Watanabe et al 2003) for velocity profiles and equations for energy transport (Ivanova & Gavrilyuk 2019) allow us to study the hydraulic jump structure and other details of the flow but make the analysis much more intricate.…”

Section: Averaging the Equationsmentioning

confidence: 99%

Steady circular hydraulic jump on a rotating disk

2021

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The paper deals with the steady axially symmetric flow of a viscous liquid layer over a rotating disk. The liquid is fed near the axis of rotation and spreads due to inertia and the centrifugal force. The viscous shallow-water approach gives a system of ordinary differential equations governing the flow. We consider inertia, gravity, centrifugal and Coriolis forces and estimate the effect of surface tension. We found four qualitatively different flow regimes. Transition through these regimes shows the continuous evolution of the flow structure from a hydraulic jump on a static disk to a monotonic thickness decrease on a fast rotating one. We show that, in the absence of surface tension, the intensity of the jump gradually vanishes at a finite distance from the axis of rotation while the angular velocity increases. The surface tension decreases the jump radius and destroys the steady solution for a certain range of parameters.

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Section: Averaging the Equationsmentioning

confidence: 99%

Steady circular hydraulic jump on a rotating disk

2021

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“…35 In the case of a non-axisymmetric feeding of the fluid near the disk's center, one can observe spiral waves in the central area of the disk which become axisymmetric further away from the axis of rotation. 50 In the observer's reference frame Oxyz (Fig. 1) where the disk is rotating, the flow velocity u in the observer's reference frame and pressure p (measured with respect to a constant pressure in the ambient gas) satisfy the Navier-Stokes equations…”

Section: Modelingmentioning

confidence: 99%

Spinning disk atomization: Theory of the ligament regime

Sisoev

Shikhmurzaev

2018

Physics of Fluids

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A method of the mathematical modeling of the spinning disk atomization process as a whole, from the film flow on a rotating disk to the drop formation and detachment from the ends of the ligaments spiralling out of the disk's rim, is formulated and the key results illustrating its implementation are described. Being one of the most efficient nozzle-free atomization techniques, spinning disk atomization is used in many applications, ranging from metallurgy to pharmaceutical industry, but until now its design and optimization remain empirical which is time consuming and costly. In the present work, the entire spinning disk atomization process is, for the first time, modelled mathematically by (a) utilizing all known analytic results regarding its elements, notably the film flow on the disk and the dynamics of outgoing spiral jets, where the flow description can be simplified asymptotically and (b) using the full-scale numerical simulation of the three-dimensional unsteady free-boundary flow in the transition zone near the disk's rim which brings these elements together. The results illustrating the developed modeling approach reveal some previously unreported qualitative features of the spinning disk atomization process, such as the drift of the outgoing ligaments with respect to the disk, and elucidate the influence of physical factors on the size distribution of the drops and, where this is the case, satellite droplets. The comparison of the obtained results with available experimental data confirms the validity of the assumptions used in the modeling.

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“…Theissing [10] has performed a numerical simulation of the waveless film flow over a rotating disk using the boundary layer-type equations. During the last decade the problem of film flow over a rotating disk has been treated in the framework of the integral boundary layer method [6,11,12]. The application of this method allows examination of the wave regimes [6,12] on the liquid-gas interface and investigation of the effects of disk topography and of the flow rate modulation on the film dynamics.…”

Section: Introductionmentioning

confidence: 99%

Experimental Investigation of Dynamics and Atomization of a Liquid Film Flowing Over a Spinning Disk

et al. 2013

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One of the most commonly used methods of liquid atomization is the rotary atomization. In this process a radially spreading thin liquid film is created on a surface of a rotating disk, due to centrifugal forces. The liquid flows over the disk edge and disintegrates .The liquid film is mostly wavy. The radially propagating waves induce fluctuations resulting in an expansion of the drop size distribution after atomization. A new experimental apparatus has been built to investigate the effect of the film dynamics on the atomization process. A water jet is impinging at the center of a rotating disk made of stainless steel. The local instantaneous film thickness is measured using a confocal chromatic sensoring technique. The drop sizes are determined using the shadowgraphy method. The film flow on the rotating disk has been investigated in a wide range of parameters. The strongly wavy structure of the film flow has been observed for all sets of parameters. The development of waves depends on the nozzle-to-disk distance. The radial distribution of the time-averaged film thickness over the disk surface agrees fairly well with the correlations found in the literature. First results of the drop size distribution show a bimodal distribution for low mass flow rates.

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Stationary spiral waves in film flow over a spinning disk

Cited by 9 publications

References 30 publications

Steady circular hydraulic jump on a rotating disk

Steady circular hydraulic jump on a rotating disk

Spinning disk atomization: Theory of the ligament regime

Experimental Investigation of Dynamics and Atomization of a Liquid Film Flowing Over a Spinning Disk

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