Abstract: A feedwell dilution system for diluting an influent feed stream, which include at least one eductor assembly, and a feedwell assembly. The at least one eductor assembly includes a feed pipe which converges to a narrow throat portion or nozzle; a mix tube positioned downstream from the narrow throat portion that is sized and configured to provide mixing of the influent feed stream and a clarified liquid drawn from a settling tank; and an enclosure, which is installed around the narrow throat portion and an inlet portion of the mix tube and includes an open-ended portion on a bottom thereof, which is sized and configured to allow a clarified liquid to be pulled into the mix tube from below the inlet portion of the mix tube. The feedwell assembly is sized and configured to receive the mixture of the influent feed stream and the clarified liquid from the mix tube.

Abstract: An extracorporeal blood treatment apparatus includes a blood treatment unit, a treatment fluid circuit, and a blood circuit. The treatment fluid circuit has a treatment fluid pump for circulating treatment fluid around the treatment fluid circuit and through the blood treatment unit. The blood circuit has a dual chamber blood pump for circulating blood around the blood circuit and through the blood treatment unit. An arterial line withdraws blood from a patient and delivers the withdrawn blood to the blood treatment unit. A venous line returns the treated blood to the patient. The arterial and venous lines can be switched between a first condition in which they are connected to the patient and a second condition in which they are disconnected from the patient and connected to each other for recirculation of blood through the blood circuit.

Abstract: An apparatus, system, and method are disclosed for a filter for filtering a dosing fluid in an exhaust aftertreatment system. The filter may comprise a dosing tank configured to contain a dosing fluid, a filter media disposed within the dosing tank, and a support structure supporting the filter media to form a pathway for a flow of dosing fluid. Beneficially, the apparatus, system, and method of the present invention reduce the cost of operation and manufacture of the SCR system.

Abstract: A device for separating ferromagnetic particles from a suspension has a tubular reactor having at least one magnet, a suspension being able to flow through the reactor. The reactor (2) has at least one extraction line (3) branching off from the reactor (2), to which extraction line a negative pressure can be applied and which extraction line is surrounded by a permanent magnet (4) in the region of the branching.

Abstract: Embodiments of the invention provide a reverse osmosis system including a feed water inlet, a reverse osmosis module coupled to the feed water inlet, and at least one blend valve. The blend valve can be coupled to a permeate outlet and the, feed water inlet and can be capable of blending the feed water and the permeate water to produce mixed water. The blend valve can be adjusted to achieve a desired TDS level in the mixed water.

Abstract: A wastewater treatment apparatus that obtains treated water by adding a flocculant and magnetic powder to wastewater accumulated in a tank to thereby generate flocculated magnetic flocs, and recovering the magnetic flocs by means of a magnetic force to thereby remove the magnetic flocs from the wastewater, comprising: a magnetic flocs treatment device which treats the recovered magnetic flocs and which comprises a high pressure pump and a magnetic separation portion; wherein the magnetic separation portion has a structure in which fluid piping is arranged at a magnetic field generating portion, and magnetic powder in the magnetic flocs is recovered by using the high pressure pump to pump the recovered magnetic flocs to the fluid piping of the magnetic separation portion, and causing the magnetic powder in the magnetic flocs to attach to the fluid piping by means of a magnetic force of the magnetic field generating portion.

Abstract: A feed system is used in a sedimentation vessel. The feed system includes an inlet for receiving a quantity of feed slurry and an outlet for delivering the feed slurry to a separation zone within the sedimentation vessel. The feed slurry includes a mixture of solids and liquids that are to be separated in a separation zone within the sedimentation vessel. An airlift pump is used to cycle at least a portion of either the separated solids or the separated liquids from the separation zone and return it to the feed system. This returned portion mixes with the feed slurry and may operate to dilute the feed slurry to a concentration for optimal separation. Additionally, feed conditioning chemicals may be mixed into the feed slurry prior to or after the mixing of the feed slurry with the returned portion of the separated products.

Abstract: A water purification system and method. A closed water recirculation loop supplied at one point by a water inlet with water to be purified, and having at least one outlet point of use of the purified water. Also included is a pump and a water purifier on the loop respectively downstream of the inlet point and upstream of the at least one outlet point, in the water flow direction. The system includes two independent valves, including a first valve on the loop upstream of the pump and a second valve upstream of the at least one point of use outlet point. The first and second valves are selectively opened and closed to recirculate all the water treated by the purifier.

Abstract: An apparatus of produced water treatment, to be adopted in an in-situ recovery method of producing bitumen from oil sand, the apparatus capable of removing the oil from produced water, the produced water of being left by separating the bitumen from bitumen-mixed fluid having been recovered from the oil sand, the apparatus having: a vessel for receiving the produced water; a submerge type filtration membrane module, installed in the vessel, for filtering the produced water in the condition of the membrane being submerged in the produced water; and a bubble generator for generating bubbles to be forwarded toward the submerged filtration membrane in the produced water.

Abstract: An anaerobic water purification system including an anaerobic water purification unit receiving water to be treated and providing an anaerobic-treated water output and biomass carriers for supporting anaerobic microorganisms in the anaerobic water purification unit.

Abstract: Disclosed is a system for treating wastewater. The system includes a microorganism clad structure positioned in a body of wastewater such that the microorganism clad structure is at least partially submerged in the body of wastewater. The apparatus also includes an aeration device, such as a propeller-type, surface mounted aeration device, supplying a horizontal flow of oxygenated water to the microorganisms attached to the microorganism clad structure such that the microorganisms may carry out a biological process.

Abstract: Systems and methods are disclosed that promote the remediation of contaminated materials that are produced during industrial processes. These systems and methods include heating a material, transferring heat from the material to an industrial process. During this transfer, contaminants may be introduced into the material. These methods may remove the contaminant by treating the material with a surface modified nanoceramic through nanofiltration and/or active sites adsorption/reaction. The surface modified nanoceramic may remove at least part of the contaminant in the material. No cooling required prior to removing the contaminant from the material, which can lead to great energy saving and pollution reduction.

Abstract: A ballasted anaerobic system for treating wastewater including at least one anaerobic treatment reactor. A weighting agent impregnation subsystem is configured to mix weighting agent with the biological flocs to form weighted biological flocs to create a weighted anaerobic sludge blanket in the at least one anaerobic treatment reactor. A weighting agent recovery subsystem is configured to recover the weighting agent from excess sludge and reintroduce the weighting agent to the weighting agent impregnation subsystem.

Abstract: A method and a device to increase the efficiency of dialysis for the removal from blood of substances that are more or less tightly bound to carriers such as albumin. According to the invention this is accomplished by a simultaneous significant increase of the flow rate of the dialysis fluid and of the area of the membrane that separates the blood from the dialysis fluid, compared to conventional dialysis.

Abstract: The invention presented is an apparatus specifically designed for the high rate anaerobic treatment of (waste)waters with relatively high concentrations of lipidic compounds, referred to as the Inverted Anaerobic Sludge Blanket (IASB) reactor. Contrary to conventional anaerobic reactors, it avoids the need of sludge with good settling properties and exploits the problem of sludge flotation due to long chain fatty acid (LCFA) or biogas adsorption onto the sludge and/or biogas encapsulation by the sludge. Furthermore, it provides an increased specific sludge surface area for better LCFA degradation. It is fed from the top and is equipped with a separation step at the bottom. Reactor contents are thoroughly mixed by the novel combined action of a gas lift loop and a liquid recycle over the reactor. The reactor can be operated in continuous and sequential mode. Although it is specifically designed for lipid degradation, its application is not limited to this.

Abstract: Disclosed is a wastewater treatment apparatus utilizing time tested techniques for recirculating media treatment with proprietary advancements to produce a system capable of nitrifying and denitrifying wastewater through the use of passive calcium carbonate and organic carbon feed systems. By creating aerobic and anaerobic zones and the ability to monitor and adjust these zones by physical and mechanical means with minimal operator involvement, wastewater is recycled through these zones thereby creating an enhanced biological filtering process. The treated wastewater is then discharged to standard leaching facilities, various irrigation uses and/or introduced to further treatment for water recycling and reuse.

Abstract: Wireless water purification systems and wireless remote dispensing devices for a water purification system. The remote dispensing device is fluidly coupled with the main purification unit. A wireless transceiver is associated with the remote dispensing device and another wireless transceiver is associated with the main purification unit. The wireless transceivers communicate across a wireless communications link between the remote dispensing device and the main purification unit. The system may include multiple remote dispensing devices and/or multiple main purification units.

Abstract: A system and a method for solvent purification is provided. The system includes a solvent storage tank and a filter coupled to the tank for filtering out moisture from the solvent. The method includes providing a tank to hold the solvent being purified, providing a filter coupled to the tank, and repeatedly providing solvent from the tank to the filter, and filtering the solvent to remove moisture and returning the filtered solvent to the tank.

Abstract: The invention concerns a hydraulic connector (140) forming a distributor or manifold for a hydraulic circuit of a fluid purification system (100) having a purified fluid inlet (142) and three outlets (143, 144, 145), characterized in that the inlet (142) is connected directly to a first outlet (143) of the three outlets by a pipe and in that a second pipe (141) is hydraulically connected to the first pipe between said inlet (142) and said first outlet (143) and to a third pipe having two ends forming the other two outlets (144, 145) of the connector.

Abstract: Systems and methods handle air and rinsing fluid during fluid processing. The systems and methods eliminate air from a fluid processing system prior to, during, and after use. The systems and methods provide a connector assembly for establishing fluid flow from a fluid source. The connector assembly has discrete first and second passages that prevent communication between the fluid in first passage and the fluid in the second passage. Prior to system use, the connector assembly may be utilized in a priming function to remove residual air from a fluid circuit prior to use. The connector assembly may also be utilized after use to perform a rinse-back function.

Abstract: Compositions, methods and apparatus for the production of methane gas from poultry litter are provided. Particular features are selection of methanogens, well stirring of the digester, and control of critical parameters of digester temperature, pH, and solids content resulting in enhanced methane production and reduced nitrogen compositions. A benefit of the invention is the capability to maintain a closed system without waste by-products.

Abstract: A separator tank (1) comprising an essentially cylindrical vertical tank, a tangentially arranged inlet (3) in an upper part (9) of the tank, at least one first outlet (4) for oil and gas in the upper part of the tank, and at least one second outlet (5) for water in a lower part of the tank. A vortex zone (7) comprises a downward protruding conical frusta shaped wall (8) with an opening (11) at the lower end to allow communication between the upper and lower part of the tank. A helical spiralling vane is disposed on the upward directed part of said conical frusta shaped wall.

Abstract: A water treatment system for supplying dampening water for wet offset printing comprises a flow path through which water can pass; a magnetic treatment device for magnetically treating the water passing through the flow path; and a photocatalytic device for photocatalytically treating the water passing through the flow path.

Abstract: A filter device and a method for the filtration of beer, where, for an improved and simplified filtration, the filter includes a nonfiltrate chamber having a nonfiltrate inlet and a nonfiltrate outlet, wherein the nonfiltrate flows into the nonfiltrate chamber substantially tangentially to the walls thereof, and the bottom of the nonfiltrate chamber is constructed at least partially as a filter. The filter also includes a filtrate chamber underneath the bottom, and a filtrate outlet.

Abstract: Manifold blocks are preferably injection molded thermoplastic components of a pressurized membrane water treatment system, preferably a reverse osmosis system. A manifold block comprises a structural member of the system having at least one integral flow channel. Each channel has one or more fluidly interconnectable inlet ports and fluidly interconnectable outlet ports. The manifold block provides interconnection for modules and pumps and passageways for liquid transport. The novel manifold blocks described allow RO systems to be designed and fabricated with improved accessibility, ease of fabrication and modification in the field, and compact structure.

Abstract: There is provided a water sterilizer. The water sterilizer includes an ultraviolet light source electrically connected to an electrical power source, a light-protective housing encasing the lamp and having an inlet and an outlet, and a pump to draw the water into the housing to expose the water to ultraviolet light. Electric power supplied to the ultraviolet light source has an operating potential of not greater than 24 Volts. There is also provided a method for water sterilization.

Abstract: The invention relates to an apparatus and a method for thickening liquids carrying suspended particles, such as a slurry containing minerals. The thickening apparatus comprises a tank (2), a feedwell (4), which includes a chamber having an inlet for receiving feed slurry (9) and an outlet in fluid communication with the tank and means for distributing the material in the tank, at least one conduit (5) for feed slurry to deliver a feed slurry (9) into the feedwell, means for diluting the feed slurry, when at least one separate dilute liquid conduit (16, 19) is directed tangentially with respect to the feedwell (4) and at least one inflow aperture (15) is arranged tangentially with respect to the feedwell for recirculating the dilute liquid from the tank inside the feedwell in order to dilute the feed slurry.

Abstract: Method and apparatus in which a biomass is carried on a substrate that is fluidised. The fluidised substrate has a layer of distributor particles below it, through which the fluidizing medium passes prior to contact with the fluidised substrate and biomass associated therewith. The effect of the distributor layer is that the particles damp out excessive turbulence in the fluidizing medium, thus preventing undue turbulence of the medium within the fluidised layer. The particles may be recycled through the distributor layer to strip excess biofilm from the substrate particles prior to returning the substrate particles to the fluidised bed.

Abstract: A wastewater treatment system for removing contaminants from wastewater on a vessel using electricity. The wastewater treatment system may inject wastewater with one or more disinfectants or ionized gases, or both, to remove at least a portion of contaminants from the wastewater. The water treatment system may produce disinfectants from saltwater using one or more disinfectant generators and return the byproducts to a water body. The wastewater treatment system may also pass wastewater through an electrical coagulation unit in which an electrical current may be emitted into the wastewater, whereby flocculants are formed and cause suspended solids and other materials to settle out of the wastewater. The wastewater treatment system may include a secondary treatment system for further reducing concentrations of contaminants. In addition, the wastewater treatment system may include a solid waste treatment system for incinerating solids produced by the wastewater treatment system.

Abstract: A system and method for the treatment and reduction of sludge via ozonation in a wastewater treatment process is disclosed. The sludge treatment system comprises: a sludge ozonation reactor coupled to an activated sludge treatment basin and adapted to receive a liquid stream of sludge containing biosolids from the activated sludge treatment basin. The sludge treatment system also includes an ozone-enriched gas injection system operatively coupled to the reactor and adapted to inject ozone-enriched gas into the liquid stream at or upstream of the sludge ozonation reactor. The sludge ozonation reactor is configured to allow effective gas-liquid contacting between the ozone-enriched gas and the liquid stream so as to oxidize the biosolids in the liquid stream and initiate bacterial cell lysis thereby reducing the biosolids. Upon reduction of the biosolids, the liquid stream is returned via a return line to the activated sludge basin or other discharge point.

Abstract: Disclosed is a system for treating wastewater. The system includes a microorganism clad structure positioned in a body of wastewater such that the microorganism clad structure is at least partially submerged in the body of wastewater. The apparatus also includes an aeration device, such as a propeller-type, surface mounted aeration device, supplying a horizontal flow of oxygenated water to the microorganisms attached to the microorganism clad structure such that the microorganisms may carry out a biological process.

Abstract: A tank adapted to be used for suspending separation media slurry before transferring the separation media slurry to a column or a container comprises: an impeller (7) adapted to rotate in order to mix the media slurry, a nozzle (9) provided protruding into the tank from the bottom (8) thereof, and an adjustable pipe (5) having an open end (6) positioned in the tank and which can be adjusted in position. The nozzle (9) and the adjustable pipe (5) are adapted to be connected to a pump (3) adapted to pump liquid from the adjustable pipe (5) when the open end (6) of the adjustable pipe (5) has been positioned in an uppermost liquid phase provided in the tank when the media slurry has started to sediment and pump the liquid, possibly containing a small amount of media, through the nozzle (9) back into the tank from the tank bottom (8) in order to start re-suspending media that has sedimented in the tank.

Abstract: A fluidized bed reactor for removing phosphorus and nitrogen from wastewater has a column comprising a number of sections. The diameter of the column changes stepwise between the sections. A flow velocity in excess of 100 cm/min is maintained in a lowermost one of the sections and lower flow velocities are maintained in subsequent sections. A struvite supersaturation ratio is controlled in part by recycling wastewater from an outlet of the column. Struvite pellets are removed periodically from the bottom of the column.

Abstract: Treatment devices for fluid such as water are described. Principally (although not necessarily exclusively) designed for use as chlorinators, the devices may divert water flowing in conduits into the devices for treatment and subsequent return to the flow stream. A return tube of the device may be designed to create vortex action, using a pressure differential to evacuate treated water from the device back into the conduit.

Abstract: Plant and procedure thereof for the purification of sewage that enables the sewage to be purified and energy to be obtained, and at the same time enables a product to be obtained given by the combination of organic residues and fibre filters, appropriate, for example, to supply a plant for breeding earthworms, or for different types of agricultural crop.

Abstract: The present invention is directed to methods and systems for reconditioning a used food processing fluid. The reconditioned fluids can be used in an upstream or downstream food processing application.

Abstract: A variety of improved hydroclone based fluid filtering systems are described. The hydroclones generally include a tank having an internal chamber and a filter (preferably a surface filter) that is positioned within the internal chamber. The filter defines a filtered fluid chamber within the internal chamber of the tank. The hydroclone may be operated such that a vortex of flowing fluid is formed between the chamber wall and the filter with the filter being located in the center of the vortex. With this arrangement, the filter acts as a cross-flow filter. In one aspect of the invention, the filter is a stepped filter. In another aspect of the invention, the filter is an surface filter, as for example, an electroformed metal surface filter. In some preferred embodiments, the openings in the filter are arranged as slots that extend substantially vertically so that they are oriented substantially perpendicular to the flow path of fluid flowing in the adjacent portion of the vortex.

Abstract: A method and a device to increase the efficiency of dialysis for the removal from blood of substances that are more or less tightly bound to carriers such as albumin. According to the invention this is accomplished by a simultaneous significant increase of the flow rate of the dialysis fluid and of the area of the membrane that separates the blood from the dialysis fluid, compared to conventional dialysis.

Abstract: A wastewater treatment plant includes a reaction tank connected to an wastewater supply tube and an aeration apparatus to receive wastewater therein, a sludge separation unit dividing an internal space of the reaction tank into upper and lower sections to increase an amount of dissolved oxygen by increasing an contact area of the wastewater and bubbles and to separate relatively light materials by moving low density matters existed on a surface of each section upward in turn, an air exhaust tube mounted on the reaction tank to exhaust bubbles passing through the sludge separation unit out of the reaction tank, a treated water exhaust tube mounted on the reaction tank to exhaust the wastewater that is treated by passing through the sludge separation unit, and a settling tank provided on a bottom of the reaction tank to concentrate and exhaust the settled sludge.

Abstract: Systems and methods handle air and rinsing fluid during fluid processing. The systems and methods eliminate air from a fluid processing system prior to, during, and after use. The systems and methods provide a connector assembly for establishing fluid flow from a fluid source. The connector assembly has discrete first and second passages that prevent communication between the fluid in first passage and the fluid in the second passage. Prior to system use, the connector assembly may be utilized in a priming function to remove residual air from a fluid circuit prior to use. The connector assembly may also be utilized after use to perform a rinse-back function.

Abstract: The invention disclosed provides an apparatus and method for filtration and disinfection of ship's ballast water, such as sea water, based on hydrodynamic cavitation. The apparatus comprises a vortex diode with a tangential entry port and an axial outlet port with single or multiple bleeding holes. The disinfected water may be re-circulated through the system for additional disinfection or released from the tank into the surrounding waterways. The disinfection of seawater/ship's ballast water is achieved through filtration and hydrodynamic cavitation and the method does not involve use of any chemicals or any chemical reaction. The invented apparatus and method is simple, eco-friendly and can be fitted on to existing intake and discharge systems of any ship with minor modifications. It poses no risk to the health of the ship's crew unlike chemical methods and requires no special skill or additional manpower for its operation.

Abstract: The present invention relates to a method of body fluid treatment for relieving the condition of inhibited lymphocyte proliferation which comprises bringing a mammalian body fluid into contact with an adsorbent comprising a high-molecular compound having a water contact angle within the range of 40° to 98° in the presence of a divalent cation chelating agent in the manner of extracorporeal circulation, or comprises bringing a mammalian body fluid into contact with an active carbon-containing adsorbent in the manner of extracorporeal circulation; and relates to a system for extracorporeal circulation which comprises a body fluid transfer pump, an anticoagulant infusion pump, and a device comprising a container wherein an adsorbent comprising a high-molecular compound having a water contact angle within the range of 40° to 98° is contained, or comprises a body fluid transfer pump, and a device comprising a container wherein an active carbon-containing adsorbent is contained.

Abstract: The invention is directed to a method an apparatus for treating wastewater. The wastewater treatment system includes an aeration system that cycles between biological multiple biological basins. The system also includes one or more membrane basins. A method of the invention includes controlling the introduction of air into each biological basin in response to one or more operating conditions.

Abstract: A reverse osmosis system in fluid communication with a fluid reservoir and a method of operating the same includes a pressure vessel having a membrane therein, a high pressure fluid input, a low pressure fluid input, a permeate output and a brine output. The system further includes a high pressure valve, a low pressure valve and a high pressure pump in fluid communication with the high pressure input through the high pressure valve. The system also includes a low pressure pump in fluid communication with the low pressure input through the low pressure valve. The high pressure pump and the low pressure pump are in fluid communication with the fluid reservoir. The low pressure pump initially fills the pressure vessel and the high pressure pump operates during permeate production.

Abstract: A method and system for removing contaminating iron from an acid pickle bath. The method comprises the steps of removing at least a portion of the acid pickle solution containing an amount of contaminating iron therein from a primary acid pickle bath, raising the pH of the at least the portion of the acidified acid copper solution with a pH adjuster to a level which is conducive to the precipitation of iron, precipitating the contaminating iron from the acidified acid copper solution, and acidifying the acid copper solution back to operating conditions for the system. Once the portion of the acid pickle solution has been treated, it is returned to the primary acid pickle bath.

Abstract: The present invention discloses an Up-flow Multi-stage Anaerobic Reactor (UMAR) used for treatment of medium/high concentration organic wastewater. The stated UMAR with forced internal circulation, improved phase separator and added sludge inlet overcomes the disadvantages of a lower load, a longer hydraulic retention time and a larger dimension in traditional anaerobic reactors. The forced internal circulation increases capacity and cycles of internal circulation thus increased efficiency of contaminant removal. The fast jetting is avoided and efficiency of gas/liquid separation is increased by an improved bending outlet of up flow pipe. The simplified sludge addition and usage are obtained by a sludge inlet. The load of UMAR in this invention can reach about 30 kgCOD/(m3d) for treatment of medium/high concentration of organic wastewater from pulp and paper process and similar wastewater, being about four times of load and capacity of traditional Up-flow Anaerobic Sludge Bed (UASB) reactors.

Abstract: A zero liquid discharge (ZLD) power plant (20) includes an advanced oxidation system (72) for reducing contaminants in source water (70) to form feed water (40) for a boiler (24). The system (72) includes an ozonation module (86) for applying high concentration ozone to the source water (70) to form a mixed stream (104), an ozone reactor (92) in which the mixed stream is retained (104) under pressure, an ultraviolet reactor (98) downstream from the ozone reactor (92) for enhanced contaminant reduction, and a retention tank (103) downstream from the reactor (98). In one configuration, the source water (70) is evaporator distillate from an evaporator (52) that recycles cooling tower blowdown 30. The system (72) achieves organic contaminant reduction at total organic carbon (TOC) levels of less than three hundred parts per billion.

Abstract: The present invention relates to a system for two-stage blood dialysis of a patient. In one embodiment, the system comprises a first filtration device for receiving the blood from the patient and for producing a first filtrate and processed blood. The system further comprises a second filtration device for receiving the first filtrate and producing replacement fluid and waste product. At least one of the first and second filtration devices preferably comprises a Taylor vortex-enhanced blood filtration device.

Abstract: A system for automatically processing blood components is described. The system includes a console, which contains all motors, pumps, sensors, valves and control circuitry, and a unique disposable set that includes a cassette supporting a centrifuge with an improved design, pump interfaces with an improved design, component and solution bags, and tubing. Various processes are implemented using a specific disposable set for each process which allows automatic identification of the process to be performed the console.

Abstract: A technique using a curved channel of a spiral device to introduce a centrifugal force upon neutrally buoyant particles flowing in a fluid, e.g. water, to facilitate improved separation of such particles from the fluid is provided. As these neutrally buoyant particles flow through the channel, a tubular pinch effect causes the particles to flow in a tubular band. The introduced centrifugal force perturbs the tubular band (e.g. forces the tubular band to flow in a manner offset from a center of the channel), resulting in an asymmetric inertial migration of the band toward the inner wall of the channel. This allows for focusing and compaction of suspended particulates into a narrow band for extraction. The separation principle contemplated herein implements a balance of the centrifugal and fluidic forces to achieve asymmetric inertial equilibrium near the inner sidewall.