2008
DOI: 10.1017/s0022112008002553
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The circular internal hydraulic jump

Abstract: Circular hydraulic jumps are familiar in single layers. Here we report the discovery of similar jumps in two-layer flows. A thin jet of fluid impinging vertically onto a rigid horizontal plane surface submerged in a deep layer of less-dense miscible fluid spreads radially, and a near-circular internal jump forms within a few centimetres from the point of impact with the plane surface. A jump is similarly formed as a jet of relatively less-dense fluid rises to the surface of a deep layer of fluid, but it appear… Show more

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Cited by 11 publications
(6 citation statements)
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“…Shocks are associated with internal circular jumps (Thorpe & Kavcic 2008) which are not stationary. The high-velocity structures, present on the supercritical side of the jump are associated with Kelvin-Helmholtz billows.…”
Section: Discussionmentioning
confidence: 99%
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“…Shocks are associated with internal circular jumps (Thorpe & Kavcic 2008) which are not stationary. The high-velocity structures, present on the supercritical side of the jump are associated with Kelvin-Helmholtz billows.…”
Section: Discussionmentioning
confidence: 99%
“…Defined in this way, Fr H is the ratio between the vertically averaged radial outward velocity and the group velocity of the most rapid waves propagating inward at the interface, measured relative to the mean outward flow. When Fr H > 1 disturbances cannot propagate radially backward, and, as in the planar case, a circular jump in the depth of the fluid is expected between the annular region at high velocity and another region with lower velocity (Thorpe & Kavcic 2008;Bhattacharjee & Ray 2011). The kinematics of the flow on the mid-plane y = y 0 is shown in figure 8 using the modulus of the fluid velocity vector scaled by U l , i.e.…”
Section: Low Grashof Numbermentioning
confidence: 99%
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“…The characteristics of hydraulic jumps of different cross-sectional shapes have been studied in the past, for example, by Bush et al (2006), Bushra and Afzal (2006), Debabeche et al (2008), Thorpe (2008), Hasan and Matin (2009) and He et al (2009).…”
Section: Introductionmentioning
confidence: 99%
“…In the stable case, a stationary internal hydraulic jump is predicted to always exist beyond the surface impingement region, and this contributes to a relatively high dilution [12]. Physical evidence for such a jump, however, seems open to different interpretations [12,14,19,24]. Stable and unstable near-field flows differ in one other respect, at least in the laboratory setting.…”
mentioning
confidence: 99%