A flushometer is a metal water-diverter that uses an inline handle to flush tankless toilets or urinals. It was invented by William Elvis Sloan and is a product of the Sloan Valve Company .
59-401: It uses water pressure from the water supply system rather than gravity from a raised tank like in previous models. A diaphragm separates a pressure chamber from the main water supply. A narrow passageway leads from the main water supply into the pressure chamber. It is the narrowness of this passage that meters the flow by slowing repressurizing of the pressure chamber after the action of
118-553: A manometer . Depending on where the inlet holes are located on the probe, it can measure static pressures or stagnation pressures. There is a two-dimensional analog of pressure – the lateral force per unit length applied on a line perpendicular to the force. Surface pressure is denoted by π: π = F l {\displaystyle \pi ={\frac {F}{l}}} and shares many similar properties with three-dimensional pressure. Properties of surface chemicals can be investigated by measuring pressure/area isotherms, as
177-430: A position vector by rotating a coordinate system in use). An example of a scalar quantity is temperature : the temperature at a given point is a single number. Velocity, on the other hand, is a vector quantity. Other examples of scalar quantities are mass , charge , volume , time , speed , pressure , and electric potential at a point inside a medium. The distance between two points in three-dimensional space
236-421: A unit of measurement , as in "10 cm" (ten centimeters ). Examples of scalar quantities are length , mass , charge , volume , and time . Scalars may represent the magnitude of physical quantities , such as speed is to velocity . Scalars are unaffected by changes to a vector space basis (i.e., a coordinate rotation ) but may be affected by translations (as in relative speed ). A change of
295-474: A consequence, several physical quantities that are scalars in "classical" (non-relativistic) physics need to be combined with other quantities and treated as four-vectors or tensors. For example, the charge density at a point in a medium, which is a scalar in classical physics, must be combined with the local current density (a 3-vector) to comprise a relativistic 4-vector . Similarly, energy density must be combined with momentum density and pressure into
354-415: A flush. The diaphragm technology allows the flush valve to open and let water into the bowl. A main cylinder valve operates up and down. A groove in this cylinder allows water from the main supply to flow through when it is in a mid position. The valve is shut off at both its top and bottom positions. A second valve, placed within the main cylinder valve, releases the water in the topmost pressure chamber when
413-400: A gravitational well such as a planet, otherwise known as atmospheric pressure . In the case of planetary atmospheres , the pressure-gradient force of the gas pushing outwards from higher pressure, lower altitudes to lower pressure, higher altitudes is balanced by the gravitational force , preventing the gas from diffusing into outer space and maintaining hydrostatic equilibrium . In
472-423: A higher stagnation pressure when forced to a standstill. Static pressure and stagnation pressure are related by: p 0 = 1 2 ρ v 2 + p {\displaystyle p_{0}={\frac {1}{2}}\rho v^{2}+p} where The pressure of a moving fluid can be measured using a Pitot tube , or one of its variations such as a Kiel probe or Cobra probe , connected to
531-412: A liquid in liquid columns of constant density or at a depth within a substance is represented by the following formula: p = ρ g h , {\displaystyle p=\rho gh,} where: Scalar (physics) Scalar quantities or simply scalars are physical quantities that can be described by a single pure number (a scalar , typically a real number ), accompanied by
590-520: A measured, rather than defined, quantity. These manometric units are still encountered in many fields. Blood pressure is measured in millimetres (or centimetres) of mercury in most of the world, and lung pressures in centimetres of water are still common. Underwater divers use the metre sea water (msw or MSW) and foot sea water (fsw or FSW) units of pressure, and these are the units for pressure gauges used to measure pressure exposure in diving chambers and personal decompression computers . A msw
649-411: A more complex dependence on the variables of state. Vapour pressure is the pressure of a vapour in thermodynamic equilibrium with its condensed phases in a closed system. All liquids and solids have a tendency to evaporate into a gaseous form, and all gases have a tendency to condense back to their liquid or solid form. The atmospheric pressure boiling point of a liquid (also known as
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#1732772523547708-454: A normal gravity toilet. However, a flushometer requires that the building have a larger supply line than is normally found in small to medium residential buildings, and therefore such buildings typically use tank-type toilets . According to a study done on toilet plumes, this type of toilet produces far more droplets than other types; both in total droplets and droplets per litre flushed. Water pressure Pressure (symbol: p or P )
767-535: A particle is not a scalar, but its magnitude is. The speed of an object is a scalar (e.g., 180 km/h), while its velocity is not (e.g. a velocity of 180 km/h in a roughly northwest direction might consist of 108 km/h northward and 144 km/h westward). Some other examples of scalar quantities in Newtonian mechanics are electric charge and charge density . In the theory of relativity , one considers changes of coordinate systems that trade space for time. As
826-424: A physical container, the pressure of the gas originates from the molecules colliding with the walls of the container. The walls of the container can be anywhere inside the gas, and the force per unit area (the pressure) is the same. If the "container" is shrunk down to a very small point (becoming less true as the atomic scale is approached), the pressure will still have a single value at that point. Therefore, pressure
885-420: A scalar, has no direction. The force given by the previous relationship to the quantity has a direction, but the pressure does not. If we change the orientation of the surface element, the direction of the normal force changes accordingly, but the pressure remains the same. Pressure is distributed to solid boundaries or across arbitrary sections of fluid normal to these boundaries or sections at every point. It
944-456: A special case of more general fields, like vector fields , spinor fields , and tensor fields . Like other physical quantities , a physical quantity of scalar is also typically expressed by a numerical value and a physical unit , not merely a number, to provide its physical meaning. It may be regarded as the product of the number and the unit (e.g., 1 km as a physical distance is the same as 1,000 m). A physical distance does not depend on
1003-495: A suffix of "a", to avoid confusion, for example "kPaa", "psia". However, the US National Institute of Standards and Technology recommends that, to avoid confusion, any modifiers be instead applied to the quantity being measured rather than the unit of measure. For example, " p g = 100 psi" rather than " p = 100 psig" . Differential pressure is expressed in units with "d" appended; this type of measurement
1062-415: A unitless scalar , which is a uniform scaling transformation . A scalar in physics and other areas of science is also a scalar in mathematics , as an element of a mathematical field used to define a vector space . For example, the magnitude (or length) of an electric field vector is calculated as the square root of its absolute square (the inner product of the electric field with itself); so,
1121-425: A vector space basis changes the description of a vector in terms of the basis used but does not change the vector itself, while a scalar has nothing to do with this change. In classical physics, like Newtonian mechanics , rotations and reflections preserve scalars, while in relativity, Lorentz transformations or space-time translations preserve scalars. The term "scalar" has origin in the multiplication of vectors by
1180-453: Is 100 kPa (15 psi), a gas (such as helium) at 200 kPa (29 psi) (gauge) (300 kPa or 44 psi [absolute]) is 50% denser than the same gas at 100 kPa (15 psi) (gauge) (200 kPa or 29 psi [absolute]). Focusing on gauge values, one might erroneously conclude the first sample had twice the density of the second one. In a static gas , the gas as a whole does not appear to move. The individual molecules of
1239-463: Is a scalar quantity. It relates the vector area element (a vector normal to the surface) with the normal force acting on it. The pressure is the scalar proportionality constant that relates the two normal vectors: d F n = − p d A = − p n d A . {\displaystyle d\mathbf {F} _{n}=-p\,d\mathbf {A} =-p\,\mathbf {n} \,dA.} The minus sign comes from
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#17327725235471298-490: Is a fundamental parameter in thermodynamics , and it is conjugate to volume . The SI unit for pressure is the pascal (Pa), equal to one newton per square metre (N/m , or kg·m ·s ). This name for the unit was added in 1971; before that, pressure in SI was expressed in newtons per square metre. Other units of pressure, such as pounds per square inch (lbf/in ) and bar , are also in common use. The CGS unit of pressure
1357-416: Is a scalar quantity, not a vector quantity. It has magnitude but no direction sense associated with it. Pressure force acts in all directions at a point inside a gas. At the surface of a gas, the pressure force acts perpendicular (at right angle) to the surface. A closely related quantity is the stress tensor σ , which relates the vector force F {\displaystyle \mathbf {F} } to
1416-431: Is a scalar, but the direction from one of those points to the other is not, since describing a direction requires two physical quantities such as the angle on the horizontal plane and the angle away from that plane. Force cannot be described using a scalar, since force has both direction and magnitude ; however, the magnitude of a force alone can be described with a scalar, for instance the gravitational force acting on
1475-449: Is an established constant. It is approximately equal to typical air pressure at Earth mean sea level and is defined as 101 325 Pa . Because pressure is commonly measured by its ability to displace a column of liquid in a manometer , pressures are often expressed as a depth of a particular fluid (e.g., centimetres of water , millimetres of mercury or inches of mercury ). The most common choices are mercury (Hg) and water; water
1534-485: Is defined as 0.1 bar (= 10,000 Pa), is not the same as a linear metre of depth. 33.066 fsw = 1 atm (1 atm = 101,325 Pa / 33.066 = 3,064.326 Pa). The pressure conversion from msw to fsw is different from the length conversion: 10 msw = 32.6336 fsw, while 10 m = 32.8083 ft. Gauge pressure is often given in units with "g" appended, e.g. "kPag", "barg" or "psig", and units for measurements of absolute pressure are sometimes given
1593-421: Is limited, such as on pressure gauges , name plates , graph labels, and table headings, the use of a modifier in parentheses, such as "kPa (gauge)" or "kPa (absolute)", is permitted. In non- SI technical work, a gauge pressure of 32 psi (220 kPa) is sometimes written as "32 psig", and an absolute pressure as "32 psia", though the other methods explained above that avoid attaching characters to
1652-426: Is most often the compressive stress at some point within a fluid . (The term fluid refers to both liquids and gases – for more information specifically about liquid pressure, see section below .) Fluid pressure occurs in one of two situations: Pressure in open conditions usually can be approximated as the pressure in "static" or non-moving conditions (even in the ocean where there are waves and currents), because
1711-409: Is no friction, it is inviscid (zero viscosity ). The equation for all points of a system filled with a constant-density fluid is p γ + v 2 2 g + z = c o n s t , {\displaystyle {\frac {p}{\gamma }}+{\frac {v^{2}}{2g}}+z=\mathrm {const} ,} where: Explosion or deflagration pressures are
1770-437: Is nontoxic and readily available, while mercury's high density allows a shorter column (and so a smaller manometer) to be used to measure a given pressure. The pressure exerted by a column of liquid of height h and density ρ is given by the hydrostatic pressure equation p = ρgh , where g is the gravitational acceleration . Fluid density and local gravity can vary from one reading to another depending on local factors, so
1829-584: Is related to energy density and may be expressed in units such as joules per cubic metre (J/m , which is equal to Pa). Mathematically: p = F ⋅ distance A ⋅ distance = Work Volume = Energy (J) Volume ( m 3 ) . {\displaystyle p={\frac {F\cdot {\text{distance}}}{A\cdot {\text{distance}}}}={\frac {\text{Work}}{\text{Volume}}}={\frac {\text{Energy (J)}}{{\text{Volume }}({\text{m}}^{3})}}.} Some meteorologists prefer
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1888-463: Is the barye (Ba), equal to 1 dyn·cm , or 0.1 Pa. Pressure is sometimes expressed in grams-force or kilograms-force per square centimetre ("g/cm " or "kg/cm ") and the like without properly identifying the force units. But using the names kilogram, gram, kilogram-force, or gram-force (or their symbols) as units of force is deprecated in SI. The technical atmosphere (symbol: at) is 1 kgf/cm (98.0665 kPa, or 14.223 psi). Pressure
1947-498: Is the force applied perpendicular to the surface of an object per unit area over which that force is distributed. Gauge pressure (also spelled gage pressure) is the pressure relative to the ambient pressure. Various units are used to express pressure. Some of these derive from a unit of force divided by a unit of area; the SI unit of pressure, the pascal (Pa), for example, is one newton per square metre (N/m ); similarly,
2006-434: Is the air pressure in an automobile tire , which might be said to be "220 kPa (32 psi)", but is actually 220 kPa (32 psi) above atmospheric pressure. Since atmospheric pressure at sea level is about 100 kPa (14.7 psi), the absolute pressure in the tire is therefore about 320 kPa (46 psi). In technical work, this is written "a gauge pressure of 220 kPa (32 psi)". Where space
2065-401: Is useful when considering sealing performance or whether a valve will open or close. Presently or formerly popular pressure units include the following: As an example of varying pressures, a finger can be pressed against a wall without making any lasting impression; however, the same finger pushing a thumbtack can easily damage the wall. Although the force applied to the surface is the same,
2124-401: The vector area A {\displaystyle \mathbf {A} } via the linear relation F = σ A {\displaystyle \mathbf {F} =\sigma \mathbf {A} } . This tensor may be expressed as the sum of the viscous stress tensor minus the hydrostatic pressure. The negative of the stress tensor is sometimes called the pressure tensor, but in
2183-424: The normal boiling point ) is the temperature at which the vapor pressure equals the ambient atmospheric pressure. With any incremental increase in that temperature, the vapor pressure becomes sufficient to overcome atmospheric pressure and lift the liquid to form vapour bubbles inside the bulk of the substance. Bubble formation deeper in the liquid requires a higher pressure, and therefore higher temperature, because
2242-471: The pound-force per square inch ( psi , symbol lbf/in ) is the traditional unit of pressure in the imperial and US customary systems. Pressure may also be expressed in terms of standard atmospheric pressure ; the unit atmosphere (atm) is equal to this pressure, and the torr is defined as 1 ⁄ 760 of this. Manometric units such as the centimetre of water , millimetre of mercury , and inch of mercury are used to express pressures in terms of
2301-447: The convention that the force is considered towards the surface element, while the normal vector points outward. The equation has meaning in that, for any surface S in contact with the fluid, the total force exerted by the fluid on that surface is the surface integral over S of the right-hand side of the above equation. It is incorrect (although rather usual) to say "the pressure is directed in such or such direction". The pressure, as
2360-463: The corresponding physical unit. Any change of a coordinate system may affect the formula for computing scalars (for example, the Euclidean formula for distance in terms of coordinates relies on the basis being orthonormal ), but not the scalars themselves. Vectors themselves also do not change by a change of a coordinate system, but their descriptions changes (e.g., a change of numbers representing
2419-572: The electric field magnitude is also physically a scalar. The mass of an object is unaffected by a change of vector space basis so it is also a physical scalar, described by a real number as an element of the real number field. Since a field is a vector space with addition defined based on vector addition and multiplication defined as scalar multiplication , the mass is also a mathematical scalar. Since scalars mostly may be treated as special cases of multi-dimensional quantities such as vectors and tensors , physical scalar fields might be regarded as
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2478-480: The flat edge is used, force is distributed over a larger surface area resulting in less pressure, and it will not cut. Whereas using the sharp edge, which has less surface area, results in greater pressure, and so the knife cuts smoothly. This is one example of a practical application of pressure For gases, pressure is sometimes measured not as an absolute pressure , but relative to atmospheric pressure ; such measurements are called gauge pressure . An example of this
2537-404: The fluid pressure increases above the atmospheric pressure as the depth increases. The vapor pressure that a single component in a mixture contributes to the total pressure in the system is called partial vapor pressure . When a person swims under the water, water pressure is felt acting on the person's eardrums. The deeper that person swims, the greater the pressure. The pressure felt is due to
2596-420: The flush lever in the activated position, wasting water, because this only sends the main cylinder valve all the way up to its topmost shut off position. A flush can only occur when the valve is in one of its mid positions. A flushometer is usually installed in a commercial setting with the exception of some older apartments in large cities, as it provides a high-pressure and better-performing wash and flush than
2655-439: The flush lever is activated, sending the main cylinder valve shooting upwards. The topmost pressure chamber slowly refills through its narrow passageway, pushing the valve cylinder back down gradually. A flush occurs while it is in its open mid positions. Because the water is gradually shut off, slower water at the end of the cycle that will not activate the siphon serves to refill the bowl. The valve cannot be kept open by holding
2714-419: The following, the term "pressure" will refer only to the scalar pressure. According to the theory of general relativity , pressure increases the strength of a gravitational field (see stress–energy tensor ) and so adds to the mass-energy cause of gravity . This effect is unnoticeable at everyday pressures but is significant in neutron stars , although it has not been experimentally tested. Fluid pressure
2773-425: The gas, however, are in constant random motion . Because there are an extremely large number of molecules and because the motion of the individual molecules is random in every direction, no motion is detected. When the gas is at least partially confined (that is, not free to expand rapidly), the gas will exhibit a hydrostatic pressure. This confinement can be achieved with either a physical container of some sort, or in
2832-548: The hectopascal (hPa) for atmospheric air pressure, which is equivalent to the older unit millibar (mbar). Similar pressures are given in kilopascals (kPa) in most other fields, except aviation where the hecto- prefix is commonly used. The inch of mercury is still used in the United States. Oceanographers usually measure underwater pressure in decibars (dbar) because pressure in the ocean increases by approximately one decibar per metre depth. The standard atmosphere (atm)
2891-606: The height of column of a particular fluid in a manometer. Pressure is the amount of force applied perpendicular to the surface of an object per unit area. The symbol for it is "p" or P . The IUPAC recommendation for pressure is a lower-case p . However, upper-case P is widely used. The usage of P vs p depends upon the field in which one is working, on the nearby presence of other symbols for quantities such as power and momentum , and on writing style. Mathematically: p = F A , {\displaystyle p={\frac {F}{A}},} where: Pressure
2950-412: The height of a fluid column does not define pressure precisely. When millimetres of mercury (or inches of mercury) are quoted today, these units are not based on a physical column of mercury; rather, they have been given precise definitions that can be expressed in terms of SI units. One millimetre of mercury is approximately equal to one torr . The water-based units still depend on the density of water,
3009-418: The inner product's result is an element of the mathematical field for the vector space in which the electric field is described. As the vector space in this example and usual cases in physics is defined over the mathematical field of real numbers or complex numbers , the magnitude is also an element of the field, so it is mathematically a scalar. Since the inner product is independent of any vector space basis,
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#17327725235473068-435: The length of each base vector of the coordinate system where the base vector length corresponds to the physical distance unit in use. (E.g., 1 m base vector length means the meter unit is used.) A physical distance differs from a metric in the sense that it is not just a real number while the metric is calculated to a real number, but the metric can be converted to the physical distance by converting each base vector length to
3127-454: The motions create only negligible changes in the pressure. Such conditions conform with principles of fluid statics . The pressure at any given point of a non-moving (static) fluid is called the hydrostatic pressure . Closed bodies of fluid are either "static", when the fluid is not moving, or "dynamic", when the fluid can move as in either a pipe or by compressing an air gap in a closed container. The pressure in closed conditions conforms with
3186-415: The principles of fluid dynamics . The concepts of fluid pressure are predominantly attributed to the discoveries of Blaise Pascal and Daniel Bernoulli . Bernoulli's equation can be used in almost any situation to determine the pressure at any point in a fluid. The equation makes some assumptions about the fluid, such as the fluid being ideal and incompressible. An ideal fluid is a fluid in which there
3245-428: The result of the ignition of explosive gases , mists, dust/air suspensions, in unconfined and confined spaces. While pressures are, in general, positive, there are several situations in which negative pressures may be encountered: Stagnation pressure is the pressure a fluid exerts when it is forced to stop moving. Consequently, although a fluid moving at higher speed will have a lower static pressure , it may have
3304-399: The thumbtack applies more pressure because the point concentrates that force into a smaller area. Pressure is transmitted to solid boundaries or across arbitrary sections of fluid normal to these boundaries or sections at every point. Unlike stress , pressure is defined as a scalar quantity . The negative gradient of pressure is called the force density . Another example is a knife. If
3363-537: The two-dimensional analog of Boyle's law , πA = k , at constant temperature. Surface tension is another example of surface pressure, but with a reversed sign, because "tension" is the opposite to "pressure". In an ideal gas , molecules have no volume and do not interact. According to the ideal gas law , pressure varies linearly with temperature and quantity, and inversely with volume: p = n R T V , {\displaystyle p={\frac {nRT}{V}},} where: Real gases exhibit
3422-416: The unit of pressure are preferred. Gauge pressure is the relevant measure of pressure wherever one is interested in the stress on storage vessels and the plumbing components of fluidics systems. However, whenever equation-of-state properties, such as densities or changes in densities, must be calculated, pressures must be expressed in terms of their absolute values. For instance, if the atmospheric pressure
3481-463: The weight of the water above the person. As someone swims deeper, there is more water above the person and therefore greater pressure. The pressure a liquid exerts depends on its depth. Liquid pressure also depends on the density of the liquid. If someone was submerged in a liquid more dense than water, the pressure would be correspondingly greater. Thus, we can say that the depth, density and liquid pressure are directly proportionate. The pressure due to
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