Introduction
This article is in effect an addendum to the post Repairing A Toilet Silent Fill Valve which explains how to access and dismantle such a valve and inspect or change the diaphragm that sits in the valve. That post also explains what is, and is not, silent about a Silent Fill Valve. This is now complemented by the post Replacing A Toilet Fill Valve.
In order to satisfy the requirements of Internet SEO (Search Engine Optimisation) the valve is referred to, in this article, specifically as a Toilet Silent Fill Valve or more generally Silent Fill Valve but its full title is a Silent Fill Toilet Cistern Inlet Valve since it is:
- A Valve.
- An Inlet Valve.
- A Cistern Inlet Valve.
- A Toilet Cistern Inlet Valve.
- A Silent Fill Toilet Cistern Inlet Valve.
This type of valve is complex and deploys a built-in mechanism which uses the inherent water pressure in the Mains Water to drive the valve from the closed to open position and then from the open to closed position. The mechanism is controlled by a much smaller valve in the form of a stopper covering a pinhole which requires a much smaller effort to operate it than the main valve.
The article endeavours to explain to the reader how the complete valve works so that they understand the order in which physical processes take place and why they follow on from each other as they do. The theory behind the workings of the valve are developed from the basic principles of forces and pressures acting on the individual parts but without the detail of too many mathematical formulae.
Basics About The Valve
The Silent Fill Valve described here is mounted on a support tube moulded so that it can be mounted in the bottom of a cistern (usually a porcelain toilet cistern about 1cm thick) where the water feed comes from below.
The screw thread moulded on the end of the support tube is ½” BSP (British Standard Pipe), the same as that on a standard ½” (15mm) tap connector.
The support tube fits through a conical rubber washer then the hole in the bottom of the cistern and is fixed with a plastic nut and washer. Then a ½” (15mm) tap connector, often flexible these days, can be connected to it from a water supply underneath the cistern where the pipes are out of sight.
NOTE: The rubber washer should be on the inside of the cistern with the cone shape pressing into the hole and the ridge on the nut should go into the hole from the outside to keep it centred.
The valve has one internal moving part – the Diaphragm which moves up to open the valve and down to close it.
Externally the moving parts consist of a rocking Arm driven by an attached Float (blue in this picture) which can be adjusted to determine the height of water in the Cistern. These two parts open and close a small pinhole valve to control the actions of the Diaphragm.
The anti-syphoning collapsible output pipe can be seen dangling in front of the float in this picture of a later version which is similar to the one described here. It has a rigid plastic support inside it to keep it in position. Else air in it would cause it to float on top of the water and then the water flowing through it would spray in all directions.
The Advantages A Diaphragm Silent Fill Valve Has Over A Ballcock
Ballcocks (float valves) can be very basic – a brass piston with a rubber bung on the end connected by a brass lever to a rising spherical float slowly closes the hole at the end of a pipe until no more water can get through the pipe. The water initially flows fast but as the float rises the flow of water is restricted and so the float rises ever more slowly. The restriction reduces ever more slowly as a consequence. So the rate at which the cistern fills goes down and down. Who knows it might never get to the fill line and just drip into the cistern for ever.
People want a cistern to fill quickly so it can be flushed (emptied) again soon. In less than one minute perhaps. I’ve timed my silent fill valve cistern and it fills in about 30 seconds after a short flush and 45 seconds after a long flush. How does it do that? Well it stays full open for most of the time and then completely shuts off the flow of water rapidly but not too quickly, since there is no banging in the pipes (a sign of a very rapid shut off). How? By using mains water pressure to rapidly move the diaphragm and close the valve as soon as it starts closing. This short fill time helps it to be a silent fill valve because after 30 to 45 seconds there is no more noise. With a ball cock the filling sound can sometimes go on for several minutes.
Below is an assumed Cistern Fill Speed graph comparing fill speeds of a ball cock, taking around 180 to 200 seconds to fill, with the diaphragm of a silent fill valve taking only 45 seconds to fill, after a long flush, when the initial (maximum) flow rates are the same at (2.2%)/s (see enlarged graph, by selecting the image, to get more detail):
The Fill Cycle Explained
The explanation here describes an Ideal Standard Silent Fill Valve mounted in a toilet cistern.
The four stages of the Fill Cycle depicted here:
- The Static State – where the Silent Fill Valve is closed, the Cistern is full and Cistern Water is in a static state (neither filling nor emptying);
- The Fill Cycle Starts – when the Silent Fill Valve opens during flushing;
- The Silent Fill Valve Begins Closing – when the Cistern is nearly full and the Top Cover Pinhole is closed;
- The Fill Cycle Ends – when the Cistern is full and the Silent Fill Valve closes.
Key to water colours used in Figs. 1 to 4 below where the water is coloured according to its pressure:
- Water at Mains Pressure.
- Water at Cistern Pressure, i.e. at or near atmospheric pressure.
- Water pressure dropping from Mains Pressure down to Cistern Pressure.
- Water pressure rising from Cistern Pressure up to Mains Pressure.
NOTE: The Diaphragm, Diaphragm Support and Pinhole Cone are drawn in simplified form in Figs. 1 to 4. Refer to ‘The Diaphragm In Detail’ to see enlarged more realistic diagrams.
This description begins with the cistern in a static state, i.e. no water is flowing in or out of the cistern. The water supply is turned on and the full cistern is waiting to be flushed (emptied).
1. The Static State
Refer to Fig. 1.
Fig. 1 – Silent Fill Valve Closed, Cistern Full & Water Static.
A labelled diagram of a section through the closed Silent Fill Valve. It’s closed by the Diaphragm sealing off the Mains Water at the top of the Silent Fill Valve Support Tube. The Cistern is filled with water up to the Fill Line and no water is flowing anywhere.
The force keeping the Silent Fill Valve closed is generated by a mechanism, within the valve, which is activated when water escaping through a pinhole in the valve is stopped. The pinhole is closed by the upward force of the Float’s buoyancy forcing a rubber stopper down onto the Top Cover Pinhole Cone.
The dark red arrows in the diagram show the direction of static forces and pressures acting on various parts thus:
- The Float is buoyant in the full Cistern and pushing upward against the Adjusting Screw.
- The Adjusting Screw is pushing up on one end of the Arm.
- The other end of the Arm is levering the Rubber Stopper down onto the Top Cover Pinhole Cone and keeping the pinhole closed.
- The Diaphragm is held down, by the pressure difference across it, keeping the valve closed.
The state of the Cistern Water and Silent Fill Valve in detail is:
- The water level is up to the Fill Line.
- The Float is buoyant in the water and applying an upward force to the Float end of the Arm via the adjusting screw.
- The Arm can rock as required on the Fulcrum Pivot so that the other end, containing the rubber stopper, bears down on the Top Cover Pinhole Cone. This stops water coming out of the pinhole under mains pressure.
- The cross-sectional area of the pinhole is so small that the small float, with leverage from the arm, can easily apply the necessary force to counter the mains pressure.
- The 1mm hole in the Diaphragm Grommet, although restricted by a plastic pin, allows the water pressure above to rise until it equals the mains pressure from the Support Tube below. (The Pin in the Diaphragm hole may drop down.)
- The Diaphragm is in a relaxed position, holding the natural shape it is moulded to, and all of it is under mains pressure from above which presses the centre of the Diaphragm down onto the Support Tube. In this position it cuts off the Mains Water so it cannot pass from Inlet to Outlet.
- The water in the Outlet Pipe is at Cistern Pressure (approximately atmospheric pressure) because it is cut off from the main supply by the closed diaphragm but is connected to the water in the cistern via the Outlet Pipe. This low Cistern Pressure extends all around the red annular Diaphragm Support underneath the Diaphragm, even though there is not much of a gap.
- It’s the pressure difference between both sides of the Diaphragm (high above, low below), in the area of the red annular Diaphragm Support, that keeps the Diaphragm forced down to shut off the Mains Water going to the Cistern.
- The centre thick rubber area has the same pressure on both sides (Mains Pressure) so the forces in that area are neutralised.
NOTE: Only the surface of the water in the Cistern is at atmospheric pressure. Water below the surface is above atmospheric pressure due to the weight of water above. The water in the Outlet Pipe above the Cistern Water has reduced pressure according to its height above the Cistern Water surface. That water is trying to fall out of the Outlet Pipe due to gravity but is supported by atmospheric pressure acting on the cistern water while air cannot get into the Outlet Pipe. Remember Atmospheric Pressure can lift a column of water 10.3m (33.8 feet).
2. The Fill Cycle Starts
Refer to Fig. 2.
Fig. 2 – Silent Fill Valve Opens During Flushing (Cistern Emptying).
A labelled diagram of a section through the open Silent Fill Valve with water flowing from Inlet to Outlet.
In this state the Cistern has just been flushed and the water level is dropping rapidly. The falling Float has tilted the Arm and lifted the Stopper off the Top Cover Pinhole Cone allowing water to escape through the pinhole. The escaping water has allowed the pressure above the Diaphragm to drop. The mains Pressure below the Diaphragm has then pushed it up and opened the valve rapidly. Mains Water is rushing through the valve to the Outlet Pipe where it can fill the cistern.
NOTE: It has been pointed out by Bob Jenson (who commented on 26/02/2022) that the flow rate through the pinhole in the cone appears to be greater than the flow rate around the pin in the red grommet, due to there relative sizes. He suggests that this keeps the pressure above the diaphragm low when the pinhole is open because water can escape faster than it can be replenished through the restricted hole in the grommet.
The green arrows in the diagram show the direction of movement of water and various parts thus:
- The Cistern Water level falls.
- The Float drops maintaining its buoyancy until it hangs from the adjusting screw.
- The Arm rocks to the open position.
- The rubber Stopper in the Arm goes up to open the pinhole.
- Water goes up through the pinhole in the Top Cover Pinhole Cone.
- The Pin in the Diaphragm hole may be pushed up.
- The Diaphragm goes up opening the valve.
- Water rushes through the Silent Fill Valve Support Tube as it flows from Inlet to Outlet and into the Cistern.
The state of the Cistern Water and Silent Fill Valve in detail is:
- The water level is falling rapidly as the Cistern discharges into the toilet.
- The Float is no longer buoyant and is suspended on its Adjusting Screw which is hanging from the Arm tilted by the weight of the Float.
- Tilting the Arm has lifted the Rubber Stopper off the Top Cover Pinhole Cone so that water can escape from above the Diaphragm through the pinhole.
- The Diaphragm is pushed up under mains pressure as the water above the Diaphragm escapes.
- Once the Diaphragm has begun to lift, mains pressure from the inlet tube pushes water into the Outlet Pipe chamber from where it can get between the Diaphragm and its support adding to the area of the Diaphragm being forced upward so it opens quickly. This is the mechanism at work opening the valve.
- Water continues to flow from the Inlet to the Outlet until the end of the fill cycle.
- During the fill cycle water continues to escape out of the pinhole via the restricted Diaphragm hole.
3. The Silent Fill Valve Begins Closing
Refer to Fig. 3.
Fig. 3 – Silent Fill Valve Starts Closing Near The End of A Fill Cycle.
A labelled diagram of a section through the Silent Fill Valve after it has started closing and the Cistern is nearly full of water.
In this state the Cistern has been filling for some time and the water level has risen. In the later stages the Float has become buoyant again and applied an upward force to the Arm and pressed the Rubber Stopper down on the Top Cover Pinhole Cone shutting off the flow of water through the pinhole and commencing the closure of the Silent Fill Valve. The Diaphragm starts to press down and Mains Water flow into the Cistern decreases.
The dark red arrows in the diagram show the direction of static forces acting on various parts thus:
- The Float is buoyant and pushing upward against the Adjusting Screw.
- The Adjusting Screw is pushing up on one end of the Arm and rocks it to the closed position.
- The other end of the Arm pushes the Rubber Stopper down onto the Top Cover Pinhole Cone to close the pinhole.
The green arrows in the diagram show the direction of dynamic movement of water and various parts thus:
- The Cistern Water level continues rising.
- The Pin in the Diaphragm hole may continue to be dragged up by the water flowing through the hole.
- The Diaphragm goes down due to the increase in pressure above it and a drop in pressure below it.
- Water in the Silent Fill Valve Support Tube slows down as it flows from Inlet to Outlet.
The state of the Cistern Water and Silent Fill Valve in detail is:
- The water level is nearly up to the Fill Line. (Observe THE GAP between the water and the Fill Line in the diagram.)
- Water still passes through the Silent Fill Valve while the Diaphragm is partly open.
- The Diaphragm closes slowly as the mains pressure builds on the top side of it by leaking through the restricted hole in the Grommet. This is the mechanism at work closing the valve.
- The natural compliance of the Diaphragm forces the centre down as the difference in water pressure above (high pressure) and below (low pressure) allows it.
- As the Diaphragm closes the water flow from Inlet to Outlet diminishes and the Outlet Pipe pressure falls. This same low pressure region is connected to the underside of the Diaphragm above the red annular Diaphragm Support and a pressure difference builds up between the top and bottom surfaces of the Diaphragm (high above, low beneath). This helps to force the Diaphragm down until it rests on top of the Inlet Tube and red annular Diaphragm Support. Then it completely stops the water flow from Inlet to Outlet thus closing the Silent Fill Valve.
These two things (listed below) work together to slowly close the Silent Fill Valve without any hammering in the pipework of the building:
- Slow build up of pressure above the Diaphragm as it rises towards mains pressure.
- Slow reduction of pressure at the Outlet Pipe and in the associated chamber within the Silent Fill Valve Body causing slow reduction of pressure under the Diaphragm above the red annular Diaphragm Support.
4. The Fill Cycle Ends
Refer to Fig. 4.
Fig. 4 – The Cistern Is Full & The Silent Fill Valve Closes.
A labelled diagram of a section through the Silent Fill Valve after it has just closed with the Cistern full of water again.
In this state the Cistern has been filling for some time, the water level has risen to the Fill Line. The Silent Fill Valve is closed as the Diaphragm has pressed all the way down onto the Silent Fill Valve Support Tube and has stopped the Mains Water from over filling the Cistern. A small amount of water squeezes through the restricted hole in the Diaphragm Grommet until the pressure above it has risen to mains pressure.
The dark red arrows in the diagram show the direction of static forces acting on various parts thus:
- The Float is buoyant and pushing upward against the Adjusting Screw.
- The Adjusting Screw is pushing up on one end of the Arm.
- The other end of the Arm is levering the Rubber Stopper down onto the Top Cover Pinhole Cone and keeping the pinhole closed.
- The Diaphragm is held down, by the pressure difference across it, keeping the valve closed.
The green arrows in the diagram show the direction of movement of water and various parts thus:
- The last drop of water goes up the Support Tube to raise the pressure above the Diaphragm to mains pressure.
- The Diaphragm beds down onto its support due to the increase in pressure above and decrease below it.
The state of the Cistern Water and Silent Fill Valve in detail is:
- The water level is up to the Fill Line. (Observe NO GAP between the water and the Fill Line in the diagram.)
- The Float is buoyant in the water and applying an upward force to the Float End of the Arm via the adjusting screw.
- The Arm can rock as required on the Fulcrum Pivot so that the other end, containing the rubber stopper, bears down on the Top Cover Pinhole Cone. This stops water coming out of the pinhole under mains pressure.
- The cross-sectional area of the pinhole is so small that the small float, with leverage from the arm, can easily apply the necessary force to counter the mains pressure.
- The 1mm hole in the Diaphragm Grommet, although restricted by a plastic pin, allows the water pressure above to rise until it equals the mains pressure from the Support Tube below. (The Pin in the Diaphragm hole may drop down.)
- The Diaphragm is in a relaxed position, holding the natural shape it is moulded to, and all of it is under mains pressure from above which presses the centre of the Diaphragm down onto the Support Tube. In this position it cuts off the Mains Water so it cannot pass from Inlet to Outlet.
- The water in the Outlet Pipe drops to Cistern Pressure (approximately atmospheric pressure) because it is cut off from the mains supply by the closed diaphragm but is connected to the water in the cistern via the Outlet Pipe. This low Cistern Pressure extends all around the red annular Diaphragm Support underneath the Diaphragm, even though there is not much of a gap.
- It’s the pressure difference between both sides of the diaphragm, in the area of the red support (395mm2) plus the downward pressure on the thick rubber area resting on the Support Tube (32mm2), that keeps the diaphragm forced down to shut off the Mains Water going to the cistern.
- The centre thick rubber area in contact with the water inside the Support Tube has the same pressure on both sides (Mains Pressure) so the forces in that area (63mm2) are neutralised.
The Silent Fill Valve Diaphragm In Detail
The diaphragm and its housing work as a valve due to some very fine holes and gaps that allow the water pressure to equalise on both sides of the diaphragm but don’t allow water to pass through quickly. The diagrams below (Fig. 5 and Fig. 6) of the Silent Fill Valve Diaphragm show an enlarged cross-section of the valve with the important working parts to a scale of approximately 3:1 on a 94 dots per inch PC monitor. It’s only at this scale that the fine holes and gaps, through which the water passes, and the shapes of the parts can be seen.
Key to water colours used in Figs. 5 & 6 below where the water is coloured according to its pressure:
- Water at Mains Pressure.
- Water at Cistern Pressure, i.e. at or near atmospheric pressure.
- Water pressure between Mains Pressure and Cistern Pressure.
1. Silent Fill Valve Closed – A Static State
Refer to Fig. 5 and Fig. 6.
Fig. 5 – Silent Fill Valve Diaphragm In The Closed Position.
Fig. 5, above, shows a section through the Silent Fill Valve Diaphragm in The Closed Position. This is the state depicted in section ‘1. The Static State’ and section ‘4. The Fill Cycle Ends’ in ‘The Fill Cycle Explained’ above.
Waters at A and B are at mains pressure. The Rubber Stopper, forced down by the Arm, is preventing water escaping through a pinhole in the Pinhole Cone on the Top Cover. The cone shape containing the pinhole allows it to dig into the Rubber Stopper and make a good seal.
Water at B is connected to A through the restricted hole in the Red Grommet, mounted in the centre of the Diaphragm, allowing the static pressure of these two volumes to equalize.
Water at C is at a low pressure because it is trying to fall out of the Outlet Pipe and into the cistern due to gravity. The Red Annular Plastic Diaphragm Support is not sealed against the central bulge of the Diaphragm so the pressure at C extends all the way under the Diaphragm to the point where it is clamped to the valve body.
This difference in static pressure between B and C keeps the valve shut so that water cannot travel from A to C and into the cistern.
The effective area of downward pressure at B is the area above C = 395mm2 (see ‘4. Calculation of The Silent Fill Valve Diaphragm Areas’).
The Dynamics of Lowering The Diaphragm
This is the state depicted in section ‘3. The Silent Fill Valve Begins Closing’ in ‘The Fill Cycle Explained’ above.
Once the pinhole in the Top Cover Pinhole Cone is closed and water can no longer escape from B to D in Fig. 6. The pressure at B begins to build up to mains pressure. Then as the difference in pressure between (A + C + T) and B diminishes the natural compliance of the Diaphragm forces its centre down onto the top of the Support Tube.
While the Diaphragm is moving down the flow from A to C is reduced and the pressure at C, which extends under the Diaphragm Support, starts to fall increasing the downward force.
When the Diaphragm arrives on top of the Support Tube water at A is cut off from C and the pressure at C drops to Cistern Pressure. The area under the Diaphragm A + C + T (490mm2), which was subject to mains pressure is reduced to Area A (63mm2), but the area with a differential (and downward) force applied is Area C (395mm2) (see ‘4. Calculation of The Silent Fill Valve Diaphragm Areas’). Arguably Area T (32mm2) also has a downward force acting on it once the diaphragm is closed and that part of it rests on the Support Tube. The difference in pressure between the top of the Diaphragm and the bottom is then at its maximum and the Diaphragm is forced down by this mechanism.
2. Silent Fill Valve Open – A Dynamic State
Refer to Fig. 6 and Fig. 7.
Fig. 6 – Silent Fill Valve Diaphragm In The Open Position.
Fig. 6, above, shows a section through the Silent Fill Valve Diaphragm in The Open Position. This is the state depicted in sections ‘2. The Fill Cycle Starts’ in ‘The Fill Cycle Explained’ above.
The Rubber Stopper has been lifted off the Top Cover Pinhole Cone by the tilting Arm and water B above the Diaphragm is escaping under pressure (between mains and atmospheric) to D where it drains into the cistern.
The pressure difference between waters (A + C) and B lifts the Diaphragm. Once lifted the area under the diaphragm increases to include T. The lifting pressure difference operating on the diaphragm then becomes that between waters (A + C + T) and B. While there is this pressure difference the valve stays open so water flows from A through T & C to the Outlet Pipe and into the cistern.
NOTE: The area under the diaphragm (A + C + T) = the area above the diaphragm B until the diaphragm is forced up against the Top Cover. Once it seals against the Top Cover the effective area of B is temporarily reduced to the area above the Red Grommet.
The Dynamics of Raising The Diaphragm
Although water at B is slowly replaced by water from A under mains pressure, through the restricted Diaphragm Grommet hole, B is not at mains pressure once it becomes dynamic because it can escape through the Top Cover Pinhole Cone faster than it can be replaced. So the pressure difference between water at A and B lifts the Diaphragm initially.
NOTE: It has been pointed out by Bob Jenson (who commented on 26/02/2022) that the flow rate through the pinhole in the cone appears to be greater than the flow rate around the pin in the red grommet, due to there relative sizes. He suggests that this keeps the pressure above the diaphragm low when the pinhole is open because water can escape faster than it can be replenished through the restricted hole in the grommet.
Waters at A and C become directly connected when the Diaphragm is lifted initially and the effective lifting area increases from 63mm2 (Area A) to 490mm2 (Area A + Area C + Area T). This is equal to Area B. (see 4. Calculation of The Silent Fill Valve Diaphragm Areas) so water at C begins to rise towards mains pressure. The Red Annular Plastic Diaphragm Support is not sealed against the central bulge of the Diaphragm so the pressure at C extends all the way under the Diaphragm to the point where it is clamped to the valve body.
The increased area upon which the mains pressure acts as the Diaphragm lifts speeds up its lifting. That is the mechanism at work.
The Restricting Pin in The Red Grommet
When fully inserted (raised in Fig. 6) the head of the Restricting Pin doesn’t seal the hole in the Diaphragm Grommet because it is spaced away by four circular studs moulded onto the grommet allowing water to pass (see Fig. 7 which shows the Silent Fill Valve Diaphragm correctly oriented). The Restricting Pin serves to limit the flow through the grommet hole.
3. Silent Fill Valve Diaphragm Grommet Detail
Refer to Fig. 7.
Fig. 7 – Diaphragm Grommet Detail.
Fig. 7, above, shows the Silent Fill Valve Diaphragm correctly oriented and at an approximate scale of 8:1 on a 94 dots per inch PC monitor. The Restricting Pin is shown hanging down as gravity requires.
In Fig. 7, the Red Grommet in the centre of the Diaphragm is clearly visible with its four moulded cylindrical studs equally spaced around the central 1mm diameter hole. The red plastic Restricting Pin can be seen to be loose in the hole with a very narrow gap around it through which water can pass. The movement of the pin in the hole, and the materials from which the grommet and pin are made, probably prevent calcium deposits forming which might otherwise block the hole.
The four cylindrical studs that prevent the pin head from blocking the hole completely can clearly be seen in Fig. 7. The studs can be seen to be spaced apart leaving Channels for water to pass between them on its way to or from the central hole.
On the other side of the hole (not shown) the Restricting Pin is squashed flat to make it bulge out on two opposite sides. The bulge prevents the pin dropping out through the hole but at the same time allows water to pass easily through the hole on the flattened sides. The pin can move up and down the hole freely covering a distance of 2mm.
4. Calculation of The Silent Fill Valve Diaphragm Areas
Refer to Fig. 5, Fig. 6, Fig. 7 and Fig. 8.
Fig. 8 – Diaphragm Pressure Area Dimensions.
Fig. 8, above, shows the bottom of the Diaphragm with three diameter dimensions 9mm, 11mm and 25mm. These are used in the formulae below to calculate four Diaphragm Areas. In these formulae let:
- d1 = 9mm which is the diameter of the area that covers the hole in the top of the Support Tube when the valve is closed,
- d2 = 11mm which is the outer diameter of the contact area of the rim of the Support Tube (approximately 2mm thick),
- d3 = 25mm which is the diameter of the area of the effective part of the Diaphragm.
From these three dimensions the areas of the Diaphragm covering Waters ‘A’, ‘B’ & ‘C’ in Fig. 5 and the area ‘T’ where the Diaphragm comes into contact with the rim of the Support Tube can all be deduced as shown here with reference to Fig. 6 & Fig. 7:
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