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| [[Image:Tryweryn-raft.jpg|thumb|240px|right|Figure 1: Raft encountering a hydraulic jump on [[Canolfan Tryweryn]] in [[Wales]].]]
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| A '''hydraulic jump''' is a phenomenon in the science of [[hydraulics]] which is frequently observed in [[open channel flow]] such as [[rivers]] and [[spillways]]. When liquid at high velocity discharges into a zone of lower velocity, a rather abrupt rise occurs in the liquid surface. The rapidly flowing liquid is abruptly slowed and increases in height, converting some of the flow's initial kinetic energy into an increase in potential energy, with some energy irreversibly lost through turbulence to heat. In an open channel flow, this manifests as the fast flow rapidly slowing and piling up on top of itself similar to how a [[Shock_wave#In_supersonic_flows|shockwave]] forms.
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| The phenomenon is dependent upon the initial fluid speed. If the initial speed of the fluid is below the critical speed, then no jump is possible. For initial flow speeds which are not significantly above the [[Supercritical flow|critical]] speed, the transition appears as an undulating wave. As the initial flow speed increases further, the transition becomes more abrupt, until at high enough speeds, the transition front will break and curl back upon itself. When this happens, the jump can be accompanied by violent turbulence, eddying, air entrainment, and surface undulations, or [[wave]]s.
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| There are two main manifestations of hydraulic jumps and historically different terminology has been used for each. However, the mechanisms behind them are similar because they are simply variations of each other seen from different frames of reference, and so the physics and analysis techniques can be used for both types.
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| The different manifestations are:
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| * The stationary hydraulic jump – rapidly flowing water transitions in a stationary jump to slowly moving water as shown in Figures 1 and 2.
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| * The [[tidal bore]] – a wall or undulating wave of water moves upstream against water flowing downstream as shown in Figures 3 and 4. If considered from a frame of reference which moves with the wave front, you can see that this case is physically similar to a stationary jump.
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| A related case is a cascade – a wall or undulating wave of water moves downstream overtaking a shallower downstream flow of water as shown in Figure 5. If considered from a frame of reference which moves with the wave front, this is amenable to the same analysis as a stationary jump.
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| [[Image:Hydraulic jump in sink.jpg|thumb|200px|right|Figure 2: A common example of a hydraulic jump is the roughly circular stationary wave that forms around the central stream of water. The jump is at the transition between the point where the circle appears still and where the turbulence is visible.]]
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| These phenomena are addressed in an extensive literature from a number of technical viewpoints.<ref name="Douglas">{{Cite book|first1=J.F. |last1=Douglas |first2=J.M. |last2=Gasiorek |first3=J.A. |last3=Swaffield |title= Fluid Mechanics |publisher=Prentice Hall |location=Essex |year=2001 |edition=4th |isbn=0-582-41476-8 }}</ref><ref name="Faber ">{{Cite book|last= Faber |first=T.E. |title= Fluid Dynamics for Physicists |publisher=Cambridge University Press |location=Cambridge|year=1995|isbn= 0-521-42969-2 }}</ref><ref name="Faulkner">{{Cite book|last=Faulkner |first=L.L. |title= Practical Fluid Mechanics for Engineering Applications |publisher=Marcel Dekker AG |location=Basil, Switzerland |year=2000 |isbn=0-8247-9575-X }}</ref><ref name="Fox">{{Cite book|first1=R.W. |last1=Fox |first2=A.T. |last2=McDonald |title= Introduction to Fluid Mechanics |publisher=John Wiley & Sons |year=1985 |isbn=0-471-88598-3 }}</ref><ref name="Hager">{{Cite book|last=Hager |first=Willi H.|title=Energy Dissipaters and Hydraulic Jump |publisher=Kluwer Academic Publishers |location=Dordrecht |year=1995|isbn=90-5410-198-9 }}</ref><ref name="Khatsuria">{{Cite book|last=Khatsuria |first=R.M. |title=Hydraulics of Spillways and Energy Dissipaters |publisher=Marcel Dekker |location=New York |year= 2005|isbn= 0-8247-5789-0}}</ref><ref name="Lighthill">{{Cite book|last=Lighthill |first=James |author-link=James Lighthill |title=Waves in Fluids |publisher=Cambridge University Press |location=Cambridge|year=1978|isbn=0-521-29233-6 }}</ref><ref name=" Roberson ">{{Cite book|last1= Roberson |first1=J.A. |last2=Crowe |first2=C.T |title=Engineering Fluid Mechanics |publisher= Houghton Mifflin Company |location=Boston |year=1990 |isbn=0-395-38124-X}}</ref><ref name="Streeter">{{Cite book|first1=V.L. |last1=Streeter |first2=E.B. |last2=Wylie|title=Fluid Mechanics |publisher=McGraw-Hill Book Company |location=New York |year=1979|isbn=0-07-062232-9 }}</ref><ref name="Vennard">{{Cite book|last=Vennard |first=John K. |title=Elementary Fluid Mechanics |publisher= John Wiley & Sons |location=New York |year=1963 |edition=4th }}</ref><ref name="Vischer">{{Cite book|last1=Vischer |first1=D.L. |last2=Hager |first2=W.H.|title=Energy Dissipaters |publisher=A.A. Balkema |location=Rotterdam |year=1995|isbn=0-8247-5789-0}}</ref><ref name="White">{{Cite book|last= White |first=Frank M. |title= Fluid Mechanics |publisher= McGraw Hill, Inc. |year=1986 |isbn=0-07-069673-X }}</ref><ref name="Chanson">{{Cite book|author-link=Hubert Chanson |last=Chanson |first=H. |title=The Hydraulic of Open Channel Flow: an Introduction |publisher=Butterworth-Heinemann |year=2004 |edition=2nd |isbn=978-0-7506-5978-9}}</ref><ref name="Chanson2">{{Cite journal|author-link=Hubert Chanson |last=Chanson |first=H. |title=Current Knowledge In Hydraulic Jumps And Related Phenomena. A Survey of Experimental Results |url=http://espace.library.uq.edu.au/view/UQ:162239 |journal=European Journal of Mechanics B/Fluids |volume=28 |issue=2, |pages= 191–210 |doi=10.1016/j.euromechflu.2008.06.004 |year=2009 |bibcode = 2009EJMF...28..191C }}</ref><ref name="MurzynChanson">{{Cite journal|last1=Murzyn |first1=F. |author2-link=Hubert Chanson |last2=Chanson |first2=H. |title= Free-Surface Fluctuations in Hydraulic Jumps: Experimental Observations |url= http://espace.library.uq.edu.au/view/UQ:179807 |journal=Experimental Thermal and Fluid Science |volume=33 |issue=7 |pages=1055–1064 |doi=10.1016/j.expthermflusci.2009.06.003 |year=2009 }}</ref><ref name="Chanson_2012">{{cite book|author=[[Hubert Chanson|Chanson, H.]] |title= Momentum Considerations in Hydraulic Jumps and Bores |url= http://espace.library.uq.edu.au/view/UQ:273253 |publisher=Journal of Irrigation and Drainage Engineering, ASCE, Vol. 138, No. 4, pp. 382-385 (DOI 10.1061/(ASCE)IR.1943-4774.0000409) |year=2012 |issn= 0733-9437}}</ref>
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| ==Classes of hydraulic jumps==
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| [[Image:Turnagain-bore.jpg|300px|thumb|right|Figure 3: A tidal bore in Alaska showing a turbulent shock-wave-like front. At this point the water is relatively shallow and the fractional change in elevation is large.]]
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| Hydraulic jumps can be seen in both a stationary form, called a hydraulic jump, and a dynamic or moving form, called a positive surge or "hydraulic jump in translation".<ref name="Chanson2" /> They can be described using the same analytic approaches and are simply variants of a single phenomenon.<ref name="Chanson" /><ref name="Chanson2" /><ref name="Chanson_2012">{{cite book|author=[[Hubert Chanson|Chanson, H.]] |title= Momentum considerations in hydraulic jumps and bores |url= http://espace.library.uq.edu.au/view/UQ:273253 |publisher=Journal of Irrigation and Drainage Engineering, ASCE, Vol. 138, No. 4, pp. 382-385 (DOI 10.1061/(ASCE)IR.1943-4774.0000409) (ISSN 0733-9437) |year=2012 |issn= 0372-0187 |doi= 10.1061/(ASCE)IR.1943-4774.0000409}}</ref>
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| ===Moving hydraulic jump===
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| [[Image:Trent Aegir 2.JPG|300px|thumb|right|Figure 4: An undular front on a tidal bore. At this point the water is relatively deep and the fractional change in elevation is small.]]
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| A [[tidal bore]] is a hydraulic jump which occurs when the incoming tide forms a wave (or waves) of water that travel up a river or narrow bay against the direction of the current.<ref name="Chanson2" /> As is true for hydraulic jumps in general, bores take on various forms depending upon the difference in the waterlevel upstream and down, ranging from an undular wavefront to a [[shock wave|shock-wave-like]] wall of water.<ref name="Lighthill" /> Figure 3 shows a tidal bore with the characteristics common to shallow upstream water – a large elevation difference is observed. Figure 4 shows a tidal bore with the characteristics common to deep upstream water – a small elevation difference is observed and the wavefront undulates. In both cases the tidal wave moves at the speed characteristic of waves in water of the depth found immediately behind the wave front. A key feature of tidal bores and positive surges is the intense turbulent mixing induced by the passage of the bore front and by the following wave motion.<ref name="Koch2009">{{Cite journal|last1=Koch |first1=C. |author2-link=Hubert Chanson |last2=Chanson |first2=H. |title=Turbulence Measurements in Positive Surges and Bores |url=http://espace.library.uq.edu.au/view/UQ:164015 |journal=Journal of Hydraulic Research |publisher=IAHR |volume=47 |issue=1 |pages=29–40 |doi=10.3826/jhr.2009.2954 |year=2009}}</ref>
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| [[Image:Llyn Brianne spillway.jpg|right|thumb|175px|Figure 5: Series of roll waves moving down a spillway, where they terminate in a stationary hydraulic jump.]]
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| Another variation of the moving hydraulic jump is the cascade. In the cascade, a series of roll waves or undulating waves of water moves downstream overtaking a shallower downstream flow of water.
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| ===Stationary hydraulic jump===
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| The stationary hydraulic jump is most frequently seen on rivers and on engineered features such as outfalls of dams and irrigation works. They occur when a flow of liquid at high velocity discharges into a zone of the river or engineered structure which can only sustain a lower velocity. When this occurs, the water slows in a rather abrupt rise (a step or [[standing wave]]) on the liquid surface.<ref name="MurzynChanson" />
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| Comparing the characteristics before and after, one finds:
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| {| class="wikitable"
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| |+ '''Descriptive Hydraulic Jump Characteristics'''<ref name="Hager" /><ref name="Khatsuria" /><ref name="Vischer" /><ref name="Chanson" />
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| !width="100"|Characteristic
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| !width="200"|Before the jump
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| !width="200"|After the jump
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| | fluid speed || supercritical (faster than the wave speed) also known as shooting or superundal|| subcritical also known as tranquil or subundal
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| | fluid height|| low || high
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| |-
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| | flow || typically smooth turbulent || typically [[turbulent flow]] (rough and choppy)
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| |-
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| |}
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| The other stationary hydraulic jump occurs when a rapid flow encounters a submerged object which throws the water upwards. The [[mathematics]] behind this form is more complex and will need to take into account the shape of the object and the flow characteristics of the fluid around it.
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| ==Analysis of the hydraulic jump on a liquid surface==
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| [[Image:Hydraulic-Jump-on-Upper-Spokane-Falls.jpg|thumbnail|250px|right|Naturally occurring hydraulic jump observed on the [[Spokane Falls|Upper Spokane Falls]] north channel.]]
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| In spite of the apparent complexity of the flow transition, application of simple analytic tools to a two dimensional analysis are effective in providing analytic results which closely parallel both field and laboratory results. Analysis shows:
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| * Height of the jump: the relationship between the depths before and after the jump as a function of flow rate<ref name="Chanson_2012" />
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| * Energy loss in the jump
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| * Location of the jump on a natural or an engineered structure
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| * Character of the jump: undular or abrupt
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| ===Height of the jump===
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| The height of the jump is derived from the application of the equations of conservation of mass and momentum.<ref name="Chanson_2012" /> There are several methods of predicting the height of a hydraulic jump.<ref name="Douglas" /><ref name="Faber " /><ref name="Faulkner" /><ref name="Fox" /><ref name=" Roberson " /><ref name="Chanson" /><ref name="Chanson_2012" /><ref>This section outlines the approaches at an overview level only.</ref>
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| They all reach common conclusions that:
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| * The ratio of the water depth before and after the jump depend solely on the ratio of velocity of the water entering the jump to the speed of the wave over-running the moving water.
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| * The height of the jump can be many times the initial depth of the water.
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| For a known flow rate <math>q,</math> as shown by the figure below, the approximation that the momentum flux is the same just up- and downstream of the energy principle yields an expression of the energy loss in the hydraulic jump. Hydraulic jumps are commonly used as energy dissipators downstream of dam spillways.
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| [[Image:Hydraulic-Jump-location.jpg|thumb|400px|right|Illustration of behaviour in a hydraulic jump.]]
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| ; Applying the continuity principle
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| In fluid dynamics, the [[Equation of continuity#Fluid dynamics|equation of continuity]] is effectively an equation of [[conservation of mass]]. Considering any fixed closed surface within an incompressible moving fluid, the fluid flows into a given volume at some points and flows out at other points along the surface with no net change in mass within the space since the density is constant. In case of a rectangular channel, then the equality of mass flux upstream (<math>\rho v_0 h_0</math>) and downstream (<math>\rho v_1 h_1</math>) gives:
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| :<math> v_0 h_0 = v_1 h_1 = q</math> {{pad|2em}} or {{pad|2em}} <math>v_1 = v_0 {h_0 \over h_1}, </math>
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| with <math>\rho</math> the fluid [[density]], <math>v_0</math> and <math>v_1</math> the depth-[[mean|averaged]] flow velocities upstream and downstream, and <math>h_0</math> and <math>h_1</math> the corresponding water depths.
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| ; Conservation of momentum flux
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| For a straight prismatic rectangular channel, the conservation of momentum [[flux]] across the jump, assuming constant density, can be expressed as:
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| :<math> \rho v_0^2h_0 + {1 \over 2} \rho gh_0^2 = \rho v_1^2h_1 + {1 \over 2} \rho gh_1^2.</math>
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| In rectangular channel, such conservation equation can be further simplified to [[Dimensionless momentum-depth relationship in open-channel flow | dimensionless M-y equation form]], which is widely used in hydraulic jump analysis in open channel flow.
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| Jump height in terms of flow
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| Dividing by constant <math> \rho </math> and introducing the result from continuity gives
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| :<math> v_0^2 \left(h_0-{h_0^2 \over h_1}\right) + {g \over 2} (h_0^2 - h_1^2)=0. </math>
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| which, after some algebra, simplifies to:
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| :<math> {1 \over 2} {h_1 \over h_0}\left({h_1 \over h_0} + 1\right) - Fr^2 = 0, </math>
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| where <math> Fr^2={v_0^2 \over gh_0}. </math> Here <math>Fr</math> is the [[dimensionless]] [[Froude number]], and relates inertial to gravitational forces in the upstream flow. Solving this quadratic yields:
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| :<math> {h_1 \over h_0} =\frac{-1 \pm{\sqrt{1+{\frac{8v_0^2}{gh_0}}}}}{2}. </math>
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| Negative answers do not yield meaningful physical solutions, so this reduces to:
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| :<math> {h_1 \over h_0} =\frac{-1 +{\sqrt{1+{\frac{8v_0^2}{gh_0}}}}}{2} </math> {{pad|2em}} so
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| :<math> {h_1 \over h_0} =\frac{{\sqrt{1+{{8Fr^2}}} -1}}{2}, </math>
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| known as [[Jean-Baptiste-Charles-Joseph Bélanger|Bélanger]] equation. The result may be extended to an irregular cross-section.<ref name="Chanson_2012" />
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| [[File:Burdekin Dam.jpg|thumb|240px|right|[[Burdekin Dam]] on the [[Burdekin River]] in [[Queensland]], [[Australia]] showing pronounced hydraulic jump induced by down-stream obstructions and a gradient change. ]]
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| This produces three solution classes:
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| * When <math> \frac{v_0^2}{gh_0} = 1</math>, then <math> {h_1 \over h_0} = 1 </math> (i.e., there is no jump)
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| * When <math> \frac{v_0^2}{gh_0} < 1</math>, then <math> {h_1 \over h_0} < 1 </math> (i.e., there is a negative jump – this can be shown as not conserving energy and is only physically possible if some force were to accelerate the fluid at that point)
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| * When <math> \frac{v_0^2}{gh_0} > 1</math>, then <math> {h_1 \over h_0} > 1 </math> (i.e., there is a positive jump)
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| This is equivalent to the condition that <math> \ Fr > 1</math>. Since the <math> \ \sqrt{gh_0} </math> is the speed of a shallow [[gravity wave]], the condition that <math>Fr > 1</math> is equivalent to stating that the initial velocity represents [[supercritical flow]] (Froude number > 1) while the final velocity represents [[subcritical flow]] (Froude number < 1).
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| ;Undulations downstream of the jump
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| Practically this means that water accelerated by large drops can create stronger standing waves ([[undular bore]]s) in the form of hydraulic jumps as it decelerates at the base of the drop. Such standing waves, when found downstream of a [[weir]] or natural rock ledge, can form an extremely dangerous "keeper" with a water wall that "keeps" floating objects (e.g., logs, kayaks, or kayakers) recirculating in the standing wave for extended periods.
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| ===Energy dissipation by a hydraulic jump===
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| [[Image:StAnthonyFalls apron.JPG|thumb|right|450px| [[Saint Anthony Falls]] on the [[Mississippi River]] showing a pronounced hydraulic jump.]]
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| One of the most important engineering applications of the hydraulic jump is to dissipate energy in channels, dam spillways, and similar structures so that the excess kinetic energy does not damage these structures. The rate of energy dissipation or [[head loss]] across a hydraulic jump is a function of the hydraulic jump inflow Froude number and the height of the jump.<ref name="Chanson" />
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| ===Location of hydraulic jump in a streambed or an engineered structure===
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| In the design of a [[dam]] the energy of the fast-flowing stream over a [[spillway]] must be partially dissipated to prevent [[erosion]] of the streambed downstream of the spillway, which could ultimately lead to failure of the dam. This can be done by arranging for the formation of a hydraulic jump to dissipate energy. To limit damage, this hydraulic jump normally occurs on an apron engineered to withstand hydraulic forces and to prevent local [[cavitation]] and other phenomena which accelerate erosion.
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| In the design of a spillway and apron, the engineers select the point at which a hydraulic jump will occur. Obstructions or slope changes are routinely designed into the apron to force a jump at a specific location. Obstructions are unnecessary, as the slope change alone is normally sufficient. To trigger the hydraulic jump without obstacles, an apron is designed such that the flat slope of the apron retards the rapidly flowing water from the spillway. If the apron slope is insufficient to maintain the original high velocity, a jump will occur.
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| [[Image:ClevelandDam-front.jpg|thumb|240px|right|Supercritical flow down the [[Cleveland Dam]] spillway at the head of the [[Capilano River]] in [[North Vancouver, British Columbia (District)|North Vancouver, British Columbia]], [[Canada]].]]Two methods of designing an induced jump are common:
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| * If the downstream flow is restricted by the down-stream channel such that water backs up onto the foot of the spillway, that downstream water level can be used to identify the location of the jump.
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| * If the spillway continues to drop for some distance, but the slope changes such that it will no longer support supercritical flow, the depth in the lower subcritical flow region is sufficient to determine the location of the jump.
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| In both cases, the final depth of the water is determined by the downstream characteristics. The jump will occur if and only if the level of inflowing (supercritical) water level (<math> h_0 </math>) satisfies the condition:
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| : <math> h_0 ={h_1\over 2} \left ( {-1 + \sqrt {1 + 8Fr^2h_1/g}} \right ) </math>
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| : ''<math>Fr</math>'' = Upstream Froude Number
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| : ''g'' = [[g-force|acceleration due to gravity]] (essentially constant for this case)
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| : ''h'' = [[height]] of the fluid (<math> h_0 </math> = initial height while <math> h_1 </math> = final downstream height)
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| ===Air entrainment in hydraulic jumps===
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| The hydraulic jump is characterised by a highly turbulent flow. Macro-scale vortices develop in the jump roller and interact
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| with the free surface leading to air bubble entrainment, splashes and droplets formation in the two-phase flow region.<ref name="Chanson2000b">{{Cite journal|author1-link=Hubert Chanson |last1=Chanson |first1=H. |last2=Brattberg |first2=T. |title= Experimental Study of the Air-Water Shear Flow in a Hydraulic Jump |url= http://espace.library.uq.edu.au/view.php?pid=UQ:9346 |journal=International Journal of Multiphase Flow |volume=26 |issue=4 |pages=583–607 |year=2000 |doi=10.1016/S0301-9322(99)00016-6 }}</ref><ref name="Chanson2009">{{Cite book|last1=Murzyn |first1=F. |author2-link=Hubert Chanson |last2=Chanson |first2=H. |contribution= Two-phase gas-liquid flow properties in the hydraulic jump: Review and perspectives |url= http://espace.library.uq.edu.au/view/UQ:179852 |title=Multiphase Flow Research |publisher=Nova Science Publishers |location=Hauppauge NY, USA |editor=S. Martin and J.R. Williams |nopp=yes |pages=Chapter 9, pp. 497–542 |year=2009 |isbn= 978-1-60692-448-8}}</ref> The air–water flow is associated with turbulence, which can also lead to sediment transport. The turbulence may be strongly affected by the bubble dynamics. Physically, the mechanisms involved in these processes are complex.
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| The air entrainment occurs in the form of air bubbles and air packets entrapped at the impingement of the upstream jet flow with the roller. The air packets are broken up in very small air bubbles as they are entrained in the shear region, characterised by large air contents and maximum bubble count rates.<ref name="Chanson20007">{{Cite journal|author-link=Hubert Chanson |last=Chanson |first=H. |title= Bubbly Flow Structure in Hydraulic Jump |url= http://espace.library.uq.edu.au/view.php?pid=UQ:12836 |journal=European Journal of Mechanics B/Fluids |volume=26 |issue=3 |pages=367–384 |doi=10.1016/j.euromechflu.2006.08.001 |year=2007 |bibcode = 2007EJMF...26..367C }}</ref> Once the entrained bubbles are advected into regions of lesser shear, bubble collisions and coalescence lead to larger air entities that are driven towards the free-surface by a combination of buoyancy and turbulent advection.
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| ===Tabular summary of the analytic conclusions===
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| {| class="wikitable"
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| |+ '''Hydraulic Jump Characteristics'''<ref name="Hager" /><ref name="Khatsuria" /><ref name="Vischer" /><ref name="Chanson" />
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| |-
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| !width="150"|Amount upstream flow is supercritical (i.e., prejump Froude Number)
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| !width="150"| Ratio of height after to height before jump
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| !width="300"|Descriptive characteristics of jump
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| !width="150"|Fraction of energy dissipated by jump<ref name="Streeter" />
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| |-
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| |≤ 1.0 || 1.0 || No jump; flow must be supercritical for jump to occur || none
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| |-
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| |1.0–1.7 || 1.0–2.0 || Standing or undulating wave || < 5%
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| |-
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| |1.7–2.5 || 2.0–3.1 ||Weak jump (series of small rollers) || 5% – 15%
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| |-
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| |2.5–4.5 || 3.1–5.9 || Oscillating jump || 15% – 45%
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| |-
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| |4.5–9.0 || 5.9–12.0 || Stable clearly defined well-balanced jump || 45% – 70%
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| |-
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| |> 9.0 || > 12.0 || Clearly defined, turbulent, strong jump || 70% – 85%
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| |-
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| |}
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| NB: the above classification is very rough. Undular hydraulic jumps have been observed with inflow/prejump Froude numbers up to 3.5 to 4.<ref name="Chanson" /><ref name="Chanson2" />
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| ==Hydraulic jump variations==
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| A number of variations are amenable to similar analysis:
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| ===Shallow fluid hydraulic jumps===
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| ;The hydraulic jump in your sink
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| Figure 2 above illustrates a daily example of a hydraulic jump can be seen in the sink. Around the place where the tap water hits the sink, you will see a smooth-looking flow pattern. A little further away, you will see a sudden "jump" in the water level. This is a hydraulic jump.
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| The nature of this jump differs from those previously discussed in the following ways:
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| * The water is flowing radially. As a result it continuously grows shallower and slows due to friction (the Froude number drops) up to the point where the jump occurs.
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| * The flow depth is thin enough that the surface tension can no longer be neglected, changing the wave solution conclusions. The higher speed of the surface tension waves bleed off the high frequency component, making an undular jump the dominant form.<ref>Surface tension effects can be seen by looking closely at the region inside the hydraulic jump. There you will observe thin waves radiating radially and axially from the point of water impact.</ref>
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| Changes in the behavior of the jump can be observed by changing the flow rate.
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| ===Internal wave hydraulic jumps===
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| ==== Hydraulic jumps in abyssal fan formation ====
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| [[Turbidity current]]s can result in internal hydraulic jumps (i.e., hydraulic jumps as [[internal wave]]s in fluids of different density) in [[abyssal fan]] formation. The internal hydraulic jumps have been associated with salinity or temperature induced [[Stratification (water)|stratification]] as well as with density differences due to suspended materials. When the bed slope over which the turbidity current flattens, the slower rate of flow is mirrored by increased sediment deposition below the flow, producing a gradual backward slope. Where a hydraulic jump occurs, the signature is an abrupt backward slope, corresponding to the rapid reduction in the flow rate at the point of the jump.<ref>{{Cite journal |title=The Response of Turbidity Currents to a Canyon-Fan Transition: Internal Hydraulic Jumps and Depositional Signatures |year=2006 |journal=Journal of Hydraulic Research |volume=44 |issue=5 |pages=631–653 |doi=10.1080/00221686.2006.9521713 |first1=Svetlana |last1=Kostic |first2=Gary |last2=Parker}}</ref>
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| ====Atmospheric hydraulic jumps====
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| A related situation is the [[Morning Glory cloud]] observed, for example, in Northern Australia, sometimes called an undular jump.<ref name="Chanson2" />
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| ==Industrial and recreational applications for hydraulic jumps==
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| [[Image:Bonneville Dam spillway cross-section.png|200px|left|thumb|Energy dissipation using hydraulic jump.]]
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| ===Industrial===
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| The hydraulic jump is the most commonly used choice of design engineers for energy dissipation below spillways and outlets. A properly designed hydraulic jump can provide for 60-70% energy dissipation of the energy in the basin itself, limiting the damage to structures and the streambed. Even with such efficient energy dissipation, stilling basins must be carefully designed to avoid serious damage due to uplift, vibration, [[cavitation]], and abrasion. An extensive literature has been developed for this type of engineering.<ref name="Hager" /><ref name="Khatsuria" /><ref name="Vischer" /><ref name="Chanson" />
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| ===Recreational===
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| [[Image:Spargo frontsurf kayak playboating2006.jpg|200px|right|thumb|Kayak playing on the transition between the turbulent flow and the recirculation region in the pier wake.]]
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| While travelling down river, [[kayaking]] and [[canoeing]] paddlers will often stop and [[Playboating|playboat]] in standing waves and hydraulic jumps. The standing waves and shock fronts of hydraulic jumps make for popular locations for such recreation.
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| Similarly, kayakers and [[River surfing|surfers]] have been known to ride [[tidal bore]]s up rivers.
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| ==See also==
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| * [[Shock wave]]
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| * [[Tidal bore]]
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| * [[Turbulence]]
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| * [[Laminar flow]]
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| * [[Undular bore]]
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| ==References and notes==
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| <!--See http://en.wikipedia.org/wiki/Wikipedia:Footnotes for an explanation of how to generate footnotes using the <ref(erences/)> tags — {{cite book|author=Poe, R.|title=Flood Bs |publisher=WSNRD |year=1996|id=ISBN }} -->
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| {{Reflist}}
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| ==Further reading==
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| *{{cite journal | url=http://espace.library.uq.edu.au/view/UQ:162239 |title=Current Knowledge In Hydraulic Jumps And Related Phenomena. A Survey of Experimental Results |first=Hubert |last=Chanson |author-link=Hubert Chanson |year=2009 |journal=European Journal of Mechanics B/Fluids |volume=28 |issue=2 |pages=191–210 |doi=10.1016/j.euromechflu.2008.06.004 |bibcode = 2009EJMF...28..191C }}
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| {{DEFAULTSORT:Hydraulic jump}}
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| [[Category:Hydraulics]]
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| [[Category:Fluid dynamics]]
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| [[Category:Wave mechanics]]
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