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            <title xml:lang="en">Steady circular hydraulic jump on a rotating disk</title>
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                <forename type="first">Anna</forename>
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                <forename type="first">K.V.</forename>
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                <forename type="first">E.I.</forename>
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            <funder>The qualitative analysis is a part of the state research programme of Lomonosov Moscow State University. The numerical simulations and the analysis of the surface tension effect are partially supported by Russian Foundation for Basic Research, projects 18-51-00006, 18-01-00762.</funder>
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            <idno type="halRefHtml">&lt;i&gt;Journal of Fluid Mechanics&lt;/i&gt;, 2021, 927, pp.A24. &lt;a target="_blank" href="https://dx.doi.org/10.1017/jfm.2021.751"&gt;&amp;#x27E8;10.1017/jfm.2021.751&amp;#x27E9;&lt;/a&gt;</idno>
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                <title xml:lang="en">Steady circular hydraulic jump on a rotating disk</title>
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              <p>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.</p>
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