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Encyclopedia > Siphon
siphon principle
siphon principle

A siphon (also spelled syphon) is a continuous tube that allows liquid to drain from a reservoir through an intermediate point that is higher than the reservoir, the up-slope flow being driven only by hydrostatic pressure without any need for pumping. It is necessary that the final end of the tube be lower than the liquid surface in the reservoir. Psiphon is a web proxy designed to help Internet users affected by Internet censorship securely bypass content-filtering systems setup by governments such as China, Iran, North Korea, Thailand, Saudi Arabia, United Arab Emirates and others. ... Image File history File links This is a lossless scalable vector image. ... Image File history File links This is a lossless scalable vector image. ... Hydrostatic pressure is the pressure exerted by a fluid due to its weight. ... An electrically driven pump (electropump) for waterworks near the Hengsteysee, Germany. ...

Contents

History

It is probable that Ctesibius was the discoverer of the principle of the siphon.[1] His student, Hero of Alexandria, wrote extensively about siphons in the treatise, Pneumatica.[2] Even earlier Egyptian reliefs from 1500 BC depict siphons used to extract liquids from large storage jars.[3]. Ctesibius or Ktesibios or Tesibius (Greek Κτησίβιος) (flourished 285–222 BC) was a Greek[1] inventor and mathematician in Alexandria. ... ‹ The template below (Expand) is being considered for deletion. ...


The siphon was first used as a weapon by the Byzantine Navy, and the most common method of deployment was to emit Greek fire, a formula of burning oil, through a large bronze tube onto enemy ships. Usually the mixture would be stored in heated, pressurized barrels and projected through the tube by some sort of pump while the operators were sheltered behind large iron shields. It is not clear whether these were actual siphons or merely pumps that used air pressure to project the Greek fire. "Some apparatus called a 'siphon' (σιφων) was used". "The siphons were, apparently, flame-projectors, either hand-pumps or reservoirs worked by mechanical force-pumps".[4] Greek fire was a burning-liquid weapon used by the Byzantine Greeks, typically in naval battles to great effect as it could continue burning even on water. ...


Naturally occurring siphons[citation needed]

In the wild, natural siphons can form in higher elevation whitewater rivers. Often caused by the fast flowing water, underwater caves or rockfalls create conditions where water can pass under and over the obstruction. Whitewater is formed in a rapid, when a rivers gradient drops enough to form a bubbly, or aerated and unstable current; the frothy water appears white. ... For the Second World War frigate class, see River class frigate The Murray River in Australia A waterfall on the Ova da Fedoz, Switzerland A river is a large natural waterway. ...


This can be a considerable hazard to river users such as kayakers, canoeists and rafters. It is easy to get sucked into a siphon, and not be let free until river levels drop considerably. Often the exit hole of the siphon is smaller then the entry hole, thus causing the lethal hazard. Look up kayak in Wiktionary, the free dictionary. ... It has been suggested that Canadian canoe be merged into this article or section. ... Rafting in Brazil. ...


Operation

Theory

Among some physicists there is some dispute as to what causes the siphon to lift liquid from the upper reservoir to the crest of the siphon[5]. They argue that theoretically, internal molecular cohesion is sufficient to pull the liquid up the intake leg of the siphon to the crest. Furthermore, some (notably Encyclopedia Britannica[6]) argue that theoretically, "a siphon will work in a vacuum". In practice, atmospheric pressure is required, to maintain the cohesion of the liquid in the siphon. Liquids in vacuum are not in equilibrium and typically boil. Mercury sticks together because of the cohesive forces. ... Boiling, a type of phase transition, is the rapid vaporization of a liquid, which typically occurs when a liquid is heated to its boiling point, the temperature at which the vapor pressure of the liquid is equal to the pressure exerted on the liquid by the surrounding atmospheric pressure. ...


Once started, a siphon requires no additional energy to keep the liquid flowing up and out of the reservoir. The siphon works because the ultimate drain point is lower than the reservoir and the flow of liquid out the drain point creates a partial vacuum in the tube such that liquid is drawn up out of the reservoir. The article on the vacuum cleaner is located elsewhere. ...


The maximum height of the intermediate point (the crest) is limited by atmospheric pressure and the density of the liquid. At the high point of the siphon, gravity tends to draw the liquid down in both directions, creating a partial vacuum. Atmospheric pressure on the top surface of the higher reservoir is transmitted through the liquid in the reservoir and up the siphon tube and prevents a vacuum from forming. When the pressure exerted by the weight of the height of the column of liquid equals that of atmospheric pressure, a partial vacuum will form at the high point and the siphon effect is ended. For water at standard pressure, the maximum height is approximately 10 m (33 feet); for mercury it is 76 cm (30 inches). A crest is the section of a wave that rises above an undisturbed position. ... Diurnal (daily) rhythm of air pressure in northern Germany (black curve is air pressure) Atmospheric pressure is the pressure at any point in the Earths atmosphere. ... In physics, density is mass m per unit volume V. For the common case of a homogeneous substance, it is expressed as: where, in SI units: ρ (rho) is the density of the substance, measured in kg·m-3 m is the mass of the substance, measured in kg V is... Gravity is a force of attraction that acts between bodies that have mass. ... Diurnal (daily) rhythm of air pressure in northern Germany (black curve is air pressure) Atmospheric pressure is the pressure at any point in the Earths atmosphere. ... Impact from a water drop causes an upward rebound jet surrounded by circular capillary waves. ... ‹ The template below (Unit of length) is being considered for deletion. ... A foot (plural: feet or foot;[1] symbol or abbreviation: ft or, sometimes, ′ – a prime) is a unit of length, in a number of different systems, including English units, Imperial units, and United States customary units. ... General Name, Symbol, Number mercury, Hg, 80 Chemical series transition metals Group, Period, Block 12, 6, d Appearance silvery Standard atomic weight 200. ... An inch (plural: inches; symbol or abbreviation: in or, sometimes, ″ - a double prime) is the name of a unit of length in a number of different systems, including English units, Imperial units, and United States customary units. ...


An analogy

An analogy to understand siphons is to imagine a long, frictionless train extending from a plain, up a hill and then down the hill into a valley below the plain. So long as part of the train extends into the valley below the plain, it is "intuitively obvious" that the portion of the train sliding into the valley can pull the rest of the train up the hill and into the valley. What is not obvious is what holds the train together when the train is a liquid in a tube. In this analogy, atmospheric pressure holds the train together. Once the force of gravity on the couplings between the cars of the train going up the hill exceeds that of atmospheric pressure, the coupling breaks and the train falls apart. The train analogy is demonstrated in a "siphon-chain model" [7] where a long chain on a pulley flows between two beakers. “Trains” redirects here. ...


Practical requirements

A plain tube can be used as a siphon. An external pump has to be applied to start the liquid flowing and prime the siphon. This can be a human mouth and lungs. This is sometimes done with any leak-free hose to siphon gasoline from a motor vehicle's gasoline tank to an external tank. (Siphoning gasoline often results in the accidental swallowing of gasoline, which is quite poisonous.) If the tube is flooded with liquid before part of the tube is raised over the intermediate high point and care is taken to keep the tube flooded while it is being raised, no pump is required. Devices sold as siphons come with a siphon pump to start the siphon process. When applying a siphon to any application it is important that the piping be as closely sized to the requirement as possible. Using piping of too great a diameter and then throttling the flow using valves or constrictive piping appears to increase the effect of previously cited concerns over gases or vapor collecting in the crest which serve to break the vacuum. Once the vacuum is reduced the siphon effect is lost. An electrically driven pump (electropump) for waterworks near the Hengsteysee, Germany. ... Gasoline or petrol is a petroleum-derived liquid mixture consisting mostly of hydrocarbons and enhanced with benzene or iso-octane to increase octane ratings, primarily used as fuel in internal combustion engines. ... An electrically driven pump (electropump) for waterworks near the Hengsteysee, Germany. ...


Reducing the size of pipe used closer to requirements appears to reduce this effect and creates a more functional siphon that does not require constant re-priming and restarting. In this respect, where the requirement is to match a flow into a container with a flow out of said container (to maintain a constant level in a pond fed by a stream, for example) it would be preferential to utilize two or three smaller separate parallel pipes that can be started as required rather than attempting to use a single large pipe and attempting to throttle it.


Applications

Floodings: [8] Self-constructed siphons, made of pipes or tubes, can be used to evacuate water from cellars after floodings. Between the flooded cellar and a deeper place outside a connection is built, using a tube or some pipes. They are filled with water from the through an intake valve (at the highest end of the construction). When the ends are opened, the water flows through the pipe into the sewer or the river.


Large siphons may be used in municipal waterworks and industry. Their size requires control via valves at the intake, outlet and crest of the siphon. The siphon may be primed by closing the intake and outlets and filling the siphon at the crest. If intakes and outlets are submerged, a vacuum pump may be applied at the crest to prime the siphon. Alternatively the siphon may be primed by a pump at either the intake or outlet. Sewage is domestic, municipal, or industrial liquid waste products. ... The Roots blower is one example of a vacuum pump A vacuum pump is a pump that removes gas molecules from a sealed volume in order to leave behind a partial vacuum. ...


Gas in the liquid is a concern in large siphons[9]. The gas tends to accumulate at the crest and if enough accumulates to break the flow of liquid, the siphon stops working. The siphon itself will exacerbate the problem because as the liquid is raised through the siphon, the pressure drops, causing dissolved gases within the liquid to come out of solution. Higher temperature accelerates the release of gas from liquids so maintaining a constant, low temperature helps. The longer the liquid is in the siphon, the more gas is released, so a shorter siphon overall helps. Local high points will trap gas so the intake and outlet legs should have continuous slopes without intermediate high points. The flow of the liquid moves bubbles thus the intake leg can have a shallow slope as the flow will push the gas bubbles to the crest. Conversely, the outlet leg needs to have a steep slope to allow the bubbles to move against the liquid flow. At the crest the gas can be trapped in a chamber above the crest. The chamber needs to be occasionally primed again with liquid to remove the gas.


Siphon terminology

Bowl siphon
Bowl siphons are part of flush toilets. Siphon action in the bowl siphon siphons out the contents of the toilet bowl and creates the characteristic toilet "sucking" sound.
Some toilets also use the siphon principle to obtain the actual flush from the cistern. The flush is triggered by a lever or handle that operates a simple diaphragm-like piston pump that lifts enough water to the crest of the siphon to start the flow of water which then completely empties the contents of the cistern into the toilet bowl. The advantage of this system was that no water would leak from the cistern excepting when flushed.
Early urinals incorporated a siphon in the cistern which would flush automatically on a regular cycle because there was a constant trickle of clean water being fed to the cistern by a slightly open valve.
Trap under a sink which functions as an inverted siphon.
Trap under a sink which functions as an inverted siphon.
Inverted siphon
An inverted siphon is not a siphon but a term applied to pipes that must dip below an obstruction to form a "U" shaped flow path. At no point does the siphon effect come into play; an inverted siphon will work fine in the absence of atmospheric pressure. Liquid flowing in one end simply forces liquid up and out the other end. Engineers must ensure that the flow rate in such a channel is fast enough to keep suspended solids from settling. Otherwise, the inverted siphon tends to act as a debris trap. This is especially important in sewage systems or culverts which must be routed under rivers or other deep obstructions where the better term is "depressed sewer".
Back siphonage
Back siphonage is a plumbing term applied to clean water pipes that connect directly into a reservoir without an air gap. As water is delivered to other areas of the plumbing system at a lower level, the siphon effect will tend to siphon water back out of the reservoir. This may result in contamination of the water in the pipes. Back siphonage is not to be confused with backflow. Back siphonage is a result of liquids at a lower level drawing water from a higher level. Backflow is driven entirely by pressure in the reservoir itself. Backflow cannot occur through an intermediate high-point. Back siphonage can flow through in intermediate high-point and is thus much more difficult to guard against.
Anti-siphon valve
Anti-siphon valves[10] are required in such designs. Building codes often contain specific sections on back siphonage and especially for external faucets. (See sample building code below.) The reason is that external faucets may be attached to hoses which may be immersed in an external body of water, such as a garden pond, swimming pool, aquarium or washing machine. Should the pressure within the water supply system fall, the external water may be siphoned back into the drinking water system through the faucet. Another possible contamination point is the water intake in the toilet tank. An anti-siphon valve is also required here to prevent pressure drops in the water supply line from siphoning water out of the toilet tank (which may contain additives such as "toilet blue") and contaminating the water system. Anti-siphon valves practically is a one-direction flow valve.
Anti-siphon valves are also used medically. Hydrocephalus, or excess fluid in the brain, maybe treated with a shunt which drains cerebrospinal fluid from the brain. All shunts have a valve to relieve excess pressure in the brain. The shunt may lead into the abdominal cavity such that the shunt outlet is significantly lower than the shunt intake when the patient is standing. Thus a siphon effect may take place and instead of simply relieving excess pressure, the shunt may act as a siphon, completely draining cerebrospinal fluid from the brain. The valve in the shunt may be designed to prevent this siphon action so that negative pressure on the drain of the shunt does not result in excess drainage. Only excess positive pressure from within the brain should result in drainage[11][12][13].
Note that the anti-siphon valve in medical shunts is preventing excess forward flow of liquid. In plumbing systems, the anti-siphon valve is preventing backflow.
Other anti-siphoning devices
Along with anti-siphon valves, anti-siphoning devices also exist. The two are unrelated in application. Siphoning can be used to remove fuel from tanks. With the cost of fuel increasing, it has been linked in several countries globally to the rise in fuel theft. Trucks, with their large fuel tanks, are most vulnerable. The anti-siphon device prevents thieves from inserting a tube into the fuel tank.
Siphon barometer
A siphon barometer is the term sometimes applied to the simplest of mercury barometers. A continuous U-shaped tube of the same diameter throughout is sealed on one end and filled with mercury. When placed into the upright position, mercury will flow away from the sealed end, forming a partial vacuum, until balanced by atmospheric pressure on the other end. The term "siphon" is used because the same principle of atmospheric pressure acting on a fluid is applied. The difference in height of the fluid between the two arms of the U-shaped tube is the same as the maximum intermediate height of a siphon. When used to measure pressures other than atmospheric pressure, a siphon barometer is sometimes called a siphon gauge and not to be confused with a siphon rain gauge. Siphon pressure gauges are rarely used today.
Siphon bottle
Siphon bottles.
Siphon bottles.
A siphon bottle (archaically called a siphoid [14]) is a pressurized bottle with a vent and a valve. Pressure within the bottle drives the liquid up and out a tube. It is a siphon in the sense that pressure drives the liquid through a tube. A special form was the gasogene.
Siphon cup
A siphon cup is the (hanging) reservoir of paint attached to a spray gun. This is to distinguish it from gravity-fed reservoirs. An archaic use of the term is a cup of oil in which the oil is siphoned out of the cup via a cotton wick or tube to a surface to be lubricated.
Siphon rain gauge
A siphon rain gauge is a rain gauge that can record rainfall over an extended period. A siphon is used to automatically empty the gauge. It is often simply called a "siphon gauge" and is not to be confused with a siphon pressure gauge.
Heron's siphon
Heron's siphon is a siphon that works on positive air pressure and at first glance appears to be a perpetual motion machine. In a slightly differently configuration, it is also known as Heron's fountain[15].

Close coupled cistern type flushing toilet. ... Close coupled cistern type flushing toilet. ... // Getting water out of a cistern A cistern (Middle English cisterne, from Latin cisterna, from cista, box, from Greek kistê, basket) is a receptacle for holding liquids, usually water. ... A urinal is a specialized toilet designed to be used only for urination by men and boys. ... Image File history File links Size of this preview: 800 × 590 pixelsFull resolution (894 × 659 pixel, file size: 848 KB, MIME type: image/png) Additional information to go with Image:Sifon. ... Image File history File links Size of this preview: 800 × 590 pixelsFull resolution (894 × 659 pixel, file size: 848 KB, MIME type: image/png) Additional information to go with Image:Sifon. ... Examples of traps In plumbing, a U-, S-, or J-shaped pipe located below or within a plumbing fixture, in its drain is called a trap. ... Sewage is the mainly liquid waste containing some solids produced by humans which typically consists of washing water, faeces, urine, laundry waste and other material which goes down drains and toilets from households and industry. ... A culvert is a flowing body of water which passes underneath a road, railway, or embankment, or the part thereof that does so. ... A building code, or building control, is a set of rules that specify the minimum acceptable level of safety for constructed objects such as buildings and nonbuilding structures. ... Categories: Stub ... This water garden features water lilies and elephant ear. ... This article needs additional references or sources for verification. ... “Aquaria” redirects here. ... Front-loading washing machine. ... In medicine, a shunt is a device designed to drain excess cerebrospinal fluid from the brain and carry it to other parts of the body. ... Cerebrospinal fluid (CSF), Liquor cerebrospinalis, is a clear bodily fluid that occupies the subarachnoid space in the brain (the space between the skull and the cerebral cortex—more specifically, between the arachnoid and pia layers of the meninges). ... A barometer is an instrument used to measure atmospheric pressure. ... Image File history File links Size of this preview: 450 × 599 pixelsFull resolution (769 × 1024 pixel, file size: 650 KB, MIME type: image/jpeg) File history Legend: (cur) = this is the current file, (del) = delete this old version, (rev) = revert to this old version. ... Image File history File links Size of this preview: 450 × 599 pixelsFull resolution (769 × 1024 pixel, file size: 650 KB, MIME type: image/jpeg) File history Legend: (cur) = this is the current file, (del) = delete this old version, (rev) = revert to this old version. ... The gasogene (or seltzogene) was a late Victorian device for producing carbonated water. ... Standard Rain Gauge Tipping Bucket Rain Gauge Recorder Close up of a Tipping Bucket Rain Gauge Recorder chart A rain gauge is a type of instrument used by meteorologists and hydrologists to gather and measure the amount of liquid precipitation (as opposed to solid precipitation that is measured by a... This article or section should include material from Parallel Path See also Perpetuum mobile as a musical term Perpetual motion machines (the Latin term perpetuum mobile is not uncommon) are a class of hypothetical machines which would produce useful energy in a way science cannot explain (yet). ... To meet Wikipedias quality standards, this article or section may require cleanup. ...

Sample building code regulations regarding back siphonage

From Ontario's building code: [16] A building code, or building control, is a set of rules that specify the minimum acceptable level of safety for constructed objects such as buildings and nonbuilding structures. ...

7.6.2.3.Back Siphonage
  1. Every potable water system that supplies a fixture or tank that is not subject to pressures above atmospheric shall be protected against back-siphonage by a backflow preventer.
  2. Where a potable water supply is connected to a boiler, tank, cooling jacket, lawn sprinkler system or other device where a non-potable fluid may be under pressure that is above atmospheric or the water outlet may be submerged in the non-potable fluid, the water supply shall be protected against backflow by a backflow preventer.
  3. Where a hose bibb is installed outside a building, inside a garage, or where there is an identifiable risk of contamination, the potable water system shall be protected against backflow by a backflow preventer.

Self-siphons

The term self-siphon is used in a number of ways. Liquids that are composed of long polymers can "self-siphon"[17][18] and these liquids do not depend on atmospheric pressure. Self-siphoning polymer liquids work the same as the siphon-chain model where the lower part of the chain pulls the rest of the chain up and over the crest. This phenomenon is also called a tubeless siphon[19].


"Self-siphon" is also often used in sales literature by siphon manufacturers to describe portable siphons that contain a pump. With the pump, no external suction (e.g. from a person's mouth/lungs) is required to start the siphon and thus the product is inaccurately described as a "self-siphon".


If the upper reservoir is such that the liquid there can rise above the height of the siphon crest, the rising liquid in the reservoir can "self-prime" the siphon and the whole apparatus be described as a "self-siphon"[20]. Once primed, such a siphon will continue to operate until the level of the upper reservoir falls below the intake of the siphon. Such self-priming siphons are useful in some rain gauges and dams. Standard Rain Gauge Tipping Bucket Rain Gauge Recorder Close up of a Tipping Bucket Rain Gauge Recorder chart A rain gauge is a type of instrument used by meteorologists and hydrologists to gather and measure the amount of liquid precipitation (as opposed to solid precipitation that is measured by a...


Biological siphons

The term "siphon" is used for a number of structures in human and animal anatomy, either because flowing liquids are involved or because the structure is shaped like a siphon, but in which no actual siphon effect is occurring: see Siphon (biology). The term siphon is used for a number of biological structures, either because flowing liquids are involved or because the object is shaped like a siphon. ...


Biologists debate whether the siphon mechanism plays a role in blood circulation [21]. It is theorized that veins form a continuous loop with arteries such that blood flowing down veins help siphon blood up the arteries, especially in giraffes and snakes[22]. Some have concluded that the siphon mechanism aids blood circulation in giraffes [23]. Many others dispute this[24][25] and experiments show no siphon effects in human circulation[26]. Some cite negative pressure in the brain as supporting the role of the siphon effect in the brain[27]. Human blood smear: a - erythrocytes; b - neutrophil; c - eosinophil; d - lymphocyte. ... Diagram of the human circulatory system. ... In the circulatory system, a vein is a blood vessel that carries blood toward the heart. ... Section of an artery For other uses, see Artery (disambiguation). ...


Explanation using Bernoulli's equation

Bernoulli's equation may be applied to a siphon to derive the flow rate and maximum height of the siphon. In fluid dynamics, Bernoullis equation, derived by Daniel Bernoulli, describes the behavior of a fluid moving along a streamline. ...

see Bernoulli's equation
see Bernoulli's equation
Let the surface of the upper reservoir be the reference elevation.
Let point A be the start point of siphon, immersed within the higher reservoir and at a depth −d below the surface of the upper reservoir.
Let point B be the intermediate high point on the siphon tube at height +hB above the surface of the upper reservoir.
Let point C be the drain point of the siphon at height −hC below the surface of the upper reservoir.

Bernoulli's equation: Adapted from image:syphoning. ... Adapted from image:syphoning. ...

 {v^2 over 2}+gy+{P over rho}=mathrm{constant}
v ; = fluid velocity along the streamline
g ; = gravitational acceleration downwards
y ; = elevation in gravity field
P ; = pressure along the streamline
rho ; = fluid density

Apply Bernoulli's equation to the surface of the upper reservoir. The surface is technically falling as the upper reservoir is being drained. However, for this example we will assume the reservoir to be infinite and the velocity of the surface may be set to zero. Furthermore, the pressure at the surface is atmospheric pressure. Thus: In physics, velocity is defined as the rate of change of displacement or the rate of displacement. ... g (also gee, g-force or g-load) is a non-SI unit of acceleration defined as exactly 9. ... Elevation histogram of the surface of the Earth – approximately 71% of the Earths surface is covered with water. ... Gravity is a force of attraction that acts between bodies that have mass. ... The use of water pressure - the Captain Cook Memorial Jet in Lake Burley Griffin in Canberra, Australia. ... In physics, density is mass m per unit volume V. For the common case of a homogeneous substance, it is expressed as: where, in SI units: ρ (rho) is the density of the substance, measured in kg·m-3 m is the mass of the substance, measured in kg V is... Infinity is a word carrying a number of different meanings in mathematics, philosophy, theology and everyday life. ...

{0^2 over 2}+g(0)+{P_mathrm{atm} over rho}=mathrm{constant} (Equation 1.)

Apply Bernoulli's equation to point A at the start of the siphon tube in the upper reservoir where P = PA, v = vA and y = −d

{v_A^2 over 2}-gd+{P_A over rho}=mathrm{constant} (Equation 2.)

Apply Bernoulli's equation to point B at the intermediate high point of the siphon tube where P = PB, v = vB and y = hB

{v_B^2 over 2}+gh_B+{P_B over rho}=mathrm{constant} (Equation 3.)

Apply Bernoulli's equation to point C where the siphon empties. Where v = vC and y = −hC. Furthermore, the pressure at the exit point is atmospheric pressure. Thus:

{v_C^2 over 2}-gh_C+{P_mathrm{atm} over rho}=mathrm{constant} (Equation 4.)

Velocity

As the siphon is a single system, the constant in all four equations are the same. Setting equations 1 and 4 equal to each other gives:

{0^2 over 2}+g(0)+{P_mathrm{atm} over rho}={v_C^2 over 2}-gh_C+{P_mathrm{atm} over rho}

Solving for vC:

Velocity of siphon:
v_C=sqrt{2gh_C}

The velocity of the siphon is thus driven solely by the height difference between the surface of the upper reservoir and the drain point. The height of the intermediate high point, hB, does not affect the velocity of the siphon. However, as the siphon is a single system, vB = vC and the intermediate high point does limit the maximum velocity. The drain point cannot be lowered indefinitely to increase the velocity. Equation 3 will limit the velocity to a positive pressure at the intermediate high point to prevent cavitation. The maximum velocity may be calculated by combining equations 1 and 3: This article or section does not cite any references or sources. ...

{0^2 over 2}+g(0)+{P_mathrm{atm} over rho}={v_B^2 over 2}+gh_B+{P_B over rho}

Setting PB = 0 and solving for vmax:

Maximum velocity of siphon:
v_mathrm{max}=sqrt{2left({P_mathrm{atm} over rho}-gh_Bright)}

The depth, −d, of the initial entry point of the siphon in the upper reservoir, does not affect the velocity of the siphon. No limit to the depth of the siphon start point is implied by Equation 2 as pressure PA increases with depth d. Both these facts imply the operator of the siphon may bottom skim or top skim the upper reservoir without impacting the siphon's performance.


Note that this equation for the velocity is the same as that of any object falling height hC. Note also that this equation assumes PC is atmospheric pressure. If the end of the siphon is below the surface, the height to the end of the siphon cannot be used; rather the height difference between the reservoirs should be used.


Maximum height

Setting equations 1 and 3 equal to each other gives:

{0^2 over 2}+g(0)+{P_mathrm{atm} over rho}={v_B^2 over 2}+gh_B+{P_B over rho}

Maximum height of the intermediate high point occurs when it is so high that the pressure at the intermediate high point is zero. Setting PB = 0:

{P_mathrm{atm} over rho}={v_B^2 over 2}+gh_B

Solving for hB:

General height of siphon:
h_B={P_mathrm{atm} over rho g} - {v_B^2 over 2g}.

This means that the height of the intermediate high point is limited by velocity of the siphon. Faster siphons result in lower heights. Height is maximized when the siphon is very slow and vB = 0:

Maximum height of siphon:
h_B={P_mathrm{atm} over rho g}

This is the maximum height that a siphon will work. It is simply when the weight of the column of liquid to the intermediate high point equates to atmospheric pressure. Substituting values for water will give 10 metres for water and 0.76 metres for mercury.


See also

  • Sewer for details of an accident involving a siphon.

A sewer is an artificial conduit or system of conduits used to remove sewage (human liquid waste) and to provide drainage. ...

External links


  Results from FactBites:
 
Siphon - LoveToKnow 1911 (305 words)
The simple siphon is used by filling it with the liquid to be decanted, closing the longer limb with the finger and plunging the shorter into the liquid; and it must be filled for each time of using.
In the siphon used as a container for aerated waters a tube passes through the neck of the vessel, one end terminating in a curved spout while the other reaches to the bottom of the interior.
The "Regency portable fountain," patented in 1825 by Charles Plinth, was the prototype of the modern siphon, from which it differed in having a stopcock in place of a spring valve.
Siphon - Wikipedia, the free encyclopedia (3121 words)
It is probable that Ctesibius was the discoverer of the principle of the siphon [1].
The siphon may be primed by closing the intake and outlets and filling the siphon at the crest.
The velocity of the siphon is thus driven solely by the height difference between the surface of the upper reservoir and the drain point.
  More results at FactBites »


 

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