Siphon – Pneumatic Accessories – Auto Door Controller
History
It is probable that Ctesibius was the discoverer of the principle of the siphon. His student, Hero of Alexandria, wrote extensively about siphons in the treatise, Pneumatica. Even earlier Egyptian reliefs from 1500 BC depict siphons used to extract liquids from large storage jars..
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’ () was used”. “The siphons were, apparently, flame-projectors, either hand-pumps or reservoirs worked by mechanical force-pumps”.
Operation
Theory
A typical siphon that caries a liquid over the top of an obstacle, works because gravity pulling down on the columns of liquid on each side, causes reduced hydrostatic pressure at the top of the two columns. Since the pressure at the top of the taller column is less than the pressure at the top of the shorter column, the liquid flows towards the taller column. The reduction of pressure caused by gravity pulling down the taller column of liquid is sufficient to suck liquid out of the upper reservoir and up the shorter column, like liquid being sucked up a drinking straw. It is important to note however that the sucking of liquid over the top of the siphon is not like pulling the liquid. To say it is sucking is just another way of saying that the pressure is lowered at the top of the siphon and atmospheric pressure then pushes the liquid up the siphon.
A simplified conceptual model of a siphon is that it is like a chain hanging over a pulley with one end of the chain resting on a higher surface than the other. Since the length of chain on the side resting on the lower surface is heavier than the length of chain on the side resting on the upper surface, gravity will pull the chain down towards the lower surface, and on the shorter side, the chain will be pulled up and over the pulley.
There are two main problems with the chain model of a siphon. The first is that under virtually all practical circumstances, dissolved gases, vapor pressure, and lack of cohesion with tube walls, conspire to render practically all the tensile strength within the liquid, ineffective for siphoning. Thus, unlike a chain which has significant tensile strength, liquids have practically no tensile strength under typical siphon conditions, and therefore the liquid on the rising side cannot be pulled up, the way the chain is pulled up on the rising side. (A notable common exception where liquids may have great tensile strength is in the capillaries of trees, where perhaps the water has been purified or filtered of gases upon absorption by the tree)
Even the falling lighter lower leg from C to D can cause the liquid of the heavier upper leg to flow up and over into the lower reservoir
The second problem with the chain model of the siphon is that the liquid between the upper reservoir and the crest of the siphon can be much heavier than the liquid above the lower reservoir, and the siphon can still function. For example, if the tube from the upper reservoir to the top of the siphon has a much larger diameter than the section of tube from the lower reservoir to the top of the siphon, the shorter upper section of the siphon may have a much larger weight of liquid in it, and yet the siphon will function normally, because the hydrostatic pressure at the top of the siphon depends only on the height of the liquid above the reservoirs, not the width or shape of the tubes.
When the column of liquid is allowed to fall from C down to D, the reduced pressure at the top (B) will allow atmospheric pressure at the upper reservoir (A) to push the liquid in the upper reservoir up to B and over the top. No liquid tensile strength is needed.
An occasional misunderstanding of siphons is that they rely on the tensile strength of the liquid to pull the liquid up and over the rise. While water has been found to have a great deal of tensile strength in some experiments (such as with the fascinating z-tube ), and some siphons may take advantage of such cohesion, common siphons can easily be demonstrated to need no liquid tensile strength at all to function. To demonstrate, the longer lower leg of a common siphon can be plugged at the bottom and filled almost to the crest with liquid, leaving the top and the shorter upper leg containing only air at ambient pressure. When the plug is removed and the liquid in the longer lower leg is allowed to fall, it will cause a reduction of pressure at the top of the siphon, resulting in the liquid in the upper reservoir being pushed up into the reduced pressure area by atmospheric pressure acting on the upper reservoir. The liquid will then typically sweep the air bubble down and out of the tube and continue to operate as a normal siphon. As there is no contact between the liquid on either side of the siphon at the beginning of this experiment, there can be no cohesion between the liquid molecules to pull the liquid over the rise. This demonstration may fail if the air bubble is so long that as it travels down the lower leg of the siphon it displaces so much liquid that the column of liquid on the longer lower leg of the siphon is no longer heavier than the column of liquid being pushed up the shorter leg of the siphon.
The uphill flow of water in a siphon doesn’t violate the conservation of energy because more energy is expended by the water dropping down the lower leg of the siphon than is gained by the water flowing up the upper leg of the siphon. Once started, a siphon requires no additional energy to keep the liquid flowing up and out of the reservoir. The siphon will pull the liquid out of the reservoir until the level falls below the intake, allowing air or other surrounding gas to break the siphon, or until the outlet of the siphon equals the level of the reservoir, whichever comes first. Energy is conserved because the ultimate drain point is lower than the liquid level of the reservoir.
The maximum height of the crest is limited by atmospheric pressure, the density of the liquid, and its vapour pressure. When the pressure within the liquid drops to below the liquid’s vapor pressure, tiny vapor bubbles can begin to form at the high point and the siphon effect will end. This effect depends on how efficiently the liquid can nucleate bubbles; in the absence of impurities or rough surfaces to act as easy nucleation sites for bubbles, siphons can temporarily exceed their standard maximum height during the extended time it takes bubbles to nucleate. For water at standard atmospheric pressure, the maximum siphon height is approximately 10 m (33 feet); for mercury it is 76 cm (30 inches).
Analogy
A rough 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 the valley is below the plain, the part of the train on the valley side of the hill will be longer and heavier than the part on the plain side of the hill, so 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, ambient atmospheric pressure and the intermolecular forces within the liquid hold the train together. If the train tries to crest a hill that is too high, the weight of the train will exert a force that exceeds the strength of the couplings between the train cars, causing them to break. This is equivalent to the pressure at the top of the siphon dropping below the liquid’s vapor pressure, where the ambient atmospheric and intermolecular forces are no longer strong enough to keep the molecules in the liquid phase, and thus vapor bubbles will begin to form breaking the siphon. (Note that typical liquids have vapor pressures much lower than atmospheric pressure, and thus it often a good approximation to simply consider when the pressure in the liquid drops below zero.) The train analogy is demonstrated in a “siphon-chain model” where a long chain on a pulley flows between two beakers
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. 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 by mouth often results in the accidental swallowing of gasoline, which is quite poisonous, or aspirating it into the lungs, which can cause death or lung damage.) 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.
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 preferable 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
Siphoning the beer after a first fermentation
When certain liquids needs to be purified, siphoning can help prevent either the bottom (dregs) or the top (foam and floaties) from being transferred out of one container into a new container. Siphoning is thus useful in the fermentation of wine and beer for this reason, since it can keep unwanted impurities out of the new container.
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 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.
Siphoning is common in irrigated fields to transfer a controlled amount of water from a ditch, over the ditch wall, into furrows.
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.
Gas in the liquid is a concern in large siphons. 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; though other designs call for a shallow slope in the outlet leg as well to allow the bubbles to be carried out of the siphon. 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
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. Inverted siphons are commonly called traps for their function in making expensive articles like rings and electronic components easily retrievable.[citation needed] Liquid flowing in one end simply forces liquid up and out the other end, but solids like sand will accumulate. 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”. Large inverted siphons are used to convey water being carried in canals or flumes across valleys, for irrigation or gold mining.
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 an intermediate high-point and is thus much more difficult to guard against.
Anti-siphon valve
Anti-siphon valves 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 check valve.
Anti-siphon valves are also used medically. Hydrocephalus, or excess fluid in the brain, may be 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.
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
A siphon bottle (archaically called a siphoid ) 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.
Venturi Siphon
A venturi siphon, also known as an eductor, is essentially a venturi which is designed to greatly speed up the fluid flowing in a pipe such that an inlet port located at the throat of the venturi can be used to siphon another fluid. See pressure head. The low pressure at the throat of the venturi is called a siphon when a second fluid is introduced, or an aspirator when the fluid is air.
Siphonic roof drainage
Siphonic roof drainage makes use of the siphoning principle to carry water horizontally from multiple roof drains to a single downpipe and to increase flow velocity. Air baffles at the roof drain inlets reduce the injection of air which causes embolisms in siphons. One benefit to this drainage technique is the reduction in required pipe diameter to drain a given roof surface area, up to half the size. Another benefit is the elimination of pipe pitch or gradient required for conventional roof drainage piping.
Sample building code regulations regarding back siphonage
From Ontario’s building code:
7.6.2.3.Back Siphonage
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.
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.
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” 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.
“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”. 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.
Capillary action can be used in self-priming siphons. In these, water soaks upwards (into a cotton-filled hose) and below the crest to begin the siphon gradually, and as weight is added to the down stream, this kind of siphon will speed up, but it will never be as fast as the same diameter of open hose.
Siphons in nature
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).
Biologists debate whether the siphon mechanism plays a role in blood circulation . 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. Some have concluded that the siphon mechanism aids blood circulation in giraffes . Many others dispute this and experiments show no siphon effects in human circulation. Some cite negative pressure in the brain as supporting the role of the siphon effect in the brain.
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.
Example of a siphon with annotations to describe 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 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 C below the surface of the upper reservoir.
Bernoulli’s equation:
= fluid velocity along the streamline
= gravitational acceleration downwards
= elevation in gravity field
= pressure along the streamline
= 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 both the surface and the exit point C is atmospheric pressure. Thus:
(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 =
(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
(Equation 3.)
Apply Bernoulli’s equation to point C where the siphon empties. Where v = vC and y = C. Furthermore, the pressure at the exit point is atmospheric pressure. Thus:
(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:
Solving for vC:
Velocity of siphon:
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:
Setting PB = 0 and solving for vmax:
Maximum velocity of siphon:
The depth, , 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:
Maximum height of the intermediate high point occurs when it is so high that the pressure at the intermediate high point is zero; in typical scenarios this will cause the liquid to form bubbles and if the bubbles enlarge to fill the pipe then the siphon will ‘break’. Setting PB = 0:
Solving for hB:
General height of siphon:
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:
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 will give approximately 10 metres for water and 0.76 metres for mercury.
Vacuum siphons
However, the above height limitation assumes that a liquid cannot take a negative pressure. In practice, liquids such as water and mercury exhibit a property known as tensile strength and are able, under certain conditions to take negative pressures. One example is in tall trees, where the water is pulled up from the roots further than 10 meters, the conventional limitation imposed by gravity and atmospheric pressure.
Surprisingly, experiments have indeed shown that siphons can operate in a vacuum, provided that the liquids are pure and degassed and surfaces are very clean. However typical practical siphons make little or no use of liquid tensile strength to achieve their effect, instead relying on atmospheric pressure.
It may not be possible for a siphon to operate in a vacuum if the liquid does not adhere to the surface of the tube. For example, water in glass tube, or mercury in copper tube siphons may work in vacuum, whereas water in Teflon tube or mercury in glass tube siphons may not.
See also
1992 explosion in Guadalajara for details of an accident involving a siphon.
Gravity feed
Wikimedia Commons has media related to: Siphons
References
^ MSDS for Gasoline http://www.marathonpetroleum.com/content/documents/mpc/msds/0125MAR019.pdf
^ Arthur, S. & Wright, G. B. (2007), Siphonic roof drainage systemsriming focused design, Building & Environment, Volume 42, Issue 6 , Pages 2421-2431.
^ Ganci, S. et al. (2008), “Historical and pedagogical aspects of a humble instrument”, Eur. J. Phys. 29: 421430, http://www.iop.org/EJ/abstract/0143-0807/29/3/003
^ Nokes M. C. (1948), “Vacuum siphons”, Am. J. Phys. 16: 254
External links
The Straight Dope: How Does A Siphon work?
Pnematics of Hero of Alexandria – Interesting Applications of Siphons
Categories: Fluid dynamics | ToolsHidden categories: All articles with unsourced statements | Articles with unsourced statements from November 2009
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