Multiple issues orphan March 2012 unreferenced October 2011 context October 2011 Flow waveform is a shape of air flow, a flow pattern that is blowed into the patient airways . Modern ventilators lung ventilators are able to generate into breathing circuit three basic waveforms of flow squared waveform descending waveform sinusoidal waveform References reflist Category Fluid dynamics respiratory stub ... more details
Multiple issues wikify March 2012 unreferenced January 2007 orphan November 2009 In fluid mechanics , external flow is such a flow that boundary layers develop freely, without constraints imposed by adjacent surfaces. Accordingly, there will always exist a region of the flow outside the boundary layer in which velocity, temperature, and or concentration gradients are negligible.It can be defined as the flow of a fluid around a body that is completely submerged in it. An example includes fluid motion over a flat plate inclined or parallel to the free stream velocity and flow over curved surfaces such as a sphere, cylinder, airfoil, or turbine blade,air flowing around an airplane and water flowing around the submarines. DEFAULTSORT External Flow Category Aerodynamics Category Fluid dynamics Fluiddynamics stub ... more details
In mathematics , specifically differential geometry , a geometric flow is the gradient flow associated to a functional on a manifold which has a geometric interpretation, usually associated with some curvature extrinsic or intrinsic curvature . They can be interpreted as flows on a moduli space for intrinsic flows or a parameter space for extrinsic flows . These are of fundamental interest in the calculus of variations , and include several famous problems and theories. Particularly interesting are their critical point mathematics critical point s. A geometric flow is also called a geometric evolution equation . Examples Extrinsic Extrinsic geometric flows are flows on embedded submanifold s, or more generally immersed submanifold s. In general they change both the Riemannian metric and the immersion. Mean curvature flow , as in soap film s critical points are minimal surface s Willmore flow , as in minimax eversion s of spheres Inverse mean curvature flow Intrinsic Intrinsic geometric flows are flows on the Riemannian metric , independent of any embedding or immersion. Ricci flow , as in the Solution ... of the Uniformization theorem Calabi flow Yamabe flow Classes of flows Important classes of flows ... to parabolic partial differential equation s. A given flow frequently admits all of these interpretations ... a flow, and stationary states for the flow are solutions to the elliptic partial differential equation ... F , then the flow has a variational interpretation as the gradient flow of F , and stationary states of the flow correspond to critical points of the functional. In the context of geometric flows, the functional ... . The Ricci flow , Calabi flow , and Yamabe flow arise in this way in some cases with normalizations . Curvature flows may or may not preserve volume the Calabi flow does, while the Ricci flow does not , and if not, the flow .... Thus one often normalizes the flow, for instance by fixing the volume. References cite journal author ... year 2007 arxiv hep th 0702034 DEFAULTSORT Geometric Flow Category Geometric flow ... more details
Noref date March 2011 In differential geometry , the Yamabe flow is an intrinsic geometric flow a process which deforms the metric tensor metric of a Riemannian manifold . It is the negative L2 norm L sup 2 sup gradient flow of the normalized total scalar curvature , restricted to a given conformal class it can be interpreted as deforming a Riemannian metric to a conformal metric of constant scalar curvature, when this flow converges. It was introduced by Richard Hamilton professor Richard Hamilton shortly after the Ricci flow , as an approach to solve the Yamabe problem on manifolds of positive conformal Yamabe invariant . Category Geometric flow ... more details
for the molding defect Flow marks A flow line , used on a drilling rig, is a large diameter pipe typically a section of Casing borehole casing that is connected to the bell nipple under the drill floor and extends to the possum belly on the mud tank s and acts as a return line, for the drilling fluid as it comes out of the hole , to the mud tank s. Flow Line Components The flow line will typically have equipment attached to it, such as a flow show , possum belly and the sample box Flow Show The flow show shows whether drilling fluid is flowing down the flow line or not and any changes in that flow. High pressure jets are typically attached along its length to dislodge any obstructions such as drill cuttings collecting in one spot that may occur. Possum Belly The possum belly is used to slow the flow of returning drilling fluid before it hits the shale shakers . This enables the shale shaker to clean the cuttings out of the drilling fluid before it is returned to the pits for circulation. Sample Box Another common add on is the sample box. This is a heavy duty rubber hose that is inserted at the end of the flow line and at the other end emplaced into the sample box itself. The sample box is used to capture samples of drill cuttings for geological logging. The box is typically equipped with a raising door that allows the water and cuttings to escape after a sample is collected. Stinger Line A stinger line is similar to a flow line, but unlike a flow line is not used to maintain circulation. The stinger line is attached to the blowout preventer to allow for the pressure from a blowout to be released. The stinger line usually will run parallel to the flow line. See also Drilling rig petroleum References http www.glossary.oilfield.slb.com Display.cfm?Term flowline Flow line Category Drilling technology Category Oilfield terminology Category Petroleum engineering Category Piping ... more details
refimprove date December 2007 Helicoidal flow is the cork screw like flow of water in a meander . It is one example of a secondary flow . Helicoidal flow is a contributing factor to the formation of slip off slopes and river cliffs in a meandering section of the river. The helicoidal motion of the flow aids the processes of hydraulic action and corrasion on the outside of the meander, and sweeps sediment across the floor of the meander towards the inside of the meander. ref blockquote One of the important consequences of helical flow in meanders is that sediment eroded from the outside of a meander bend tends to be moved to the inner bank or point bar of the next downstream bend. blockquote Citation last Hickin first Edward J. contribution Meandering Channels year 2003 title Encyclopedia of Sediments and Sedimentary Rocks editor last Middleton editor first Gerard V. volume pages 432 place New York publisher Springer id ISBN 1 402 008724 ref Notes reflist References http www.agu.org pubs crossref 2002 2001JC001082.shtml Journal of Geophysical Research, Volume 107 2002 See also Laminar flow Turbulent flow Baer s law Secondary flow River bends Secondary flow in river bends Category Rivers nn Helikoid straum ... more details
Stefan flow , occasionally called Stefan s flow Slovene language Slovene Stefanov tok , is a transport phenomenon concerning the movement of a chemical species by a flowing fluid typically in the gas phase that is induced to Fluid dynamics flow by the production or removal of the species at an interface chemistry interface . Any process that adds the species of interest to or removes it from the flowing fluid may cause Stefan flow, but the most common processes include evaporation , condensation , chemical reaction , Sublimation chemistry sublimation , ablation , adsorption , absorption chemistry ... Joseph Stefan for his early work on calculating evaporation rates. Stefan flow is distinct ... systems that are experiencing Stefan flow. In systems undergoing one of the species addition or removal processes mentioned previously, the addition or removal generates a mean flow in the flowing fluid ... by the processes occurring at the interface. The transport of the species by this mean flow is the Stefan flow. When concentration gradient s of the species are also present, diffusion transports the species relative to the mean flow. The total transport rate of the species is then given by a summation of the Stefan flow and diffusive contributions. An example of Stefan flow occurs when a droplet .... In addition to this mean flow, a concentration gradient must exist in the neighborhood of the droplet ... away from the droplet and the air towards it, with respect to the mean flow. Thus, in the Frame of reference frame of the droplet, the flow of vapor away from the droplet is faster than for pure Stefan flow, since diffusion is working in the same direction as the mean flow. However, the flow of air away from the droplet is slower than the pure Stefan flow, since diffusion is working to transport air back towards the droplet against the Stefan flow. Such flow from evaporating droplets is important ... engine s, and in the design of such engines. Stefan flow from evaporating droplets and subliming ice ... more details
In fluid dynamics the flow velocity , or velocity field , of a fluid is a vector field which is used to mathematically describe the motion of a fluid. The length of the flow velocity vector is the flow speed . Definition The flow velocity u of a fluid is a vector field math mathbf u mathbf u mathbf x ,t math which gives the velocity of an fluid parcel element of fluid at a position math mathbf x , math and time math t , math . The flow speed q is the length of the flow velocity vector ref citation first1 R. last1 Courant author1 link Richard Courant first2 K.O. last2 Friedrichs author2 link Kurt Otto Friedrichs edition 5th publisher Springer year 1977 isbn 0387902325 , p. 24 ref math q mathbf u math and is a scalar field. Uses The flow velocity of a fluid effectively describes everything about the motion of a fluid. Many physical properties of a fluid can be expressed mathematically in terms of the flow velocity. Some common examples follow Steady flow Main Steady flow The flow of a fluid is said to be steady if math mathbf u math does not vary with time. That is if math frac partial mathbf u partial t 0. math Incompressible flow Main Incompressible flow A fluid is incompressible if the divergence of math mathbf u math is zero math nabla cdot mathbf u 0. math That is, if math mathbf u math is a solenoidal vector field . Irrotational flow main Irrotational flow A flow is irrotational if the Curl mathematics curl of math mathbf u math is zero math nabla times mathbf u 0. math That is, if math mathbf u math is an irrotational vector field . Vorticity Main Vorticity The vorticity , math omega math , of a flow can be defined in terms of its flow velocity by math omega nabla times mathbf u . math Thus in irrotational flow the vorticity is zero. The velocity potential main Potential flow If an irrotational flow occupies a simply connected fluid region then there exists a scalar ... is called the velocity potential for the flow. See Irrotational vector field . Notes and references ... more details
Unreferenced date December 2009 A supercritical flow is when the flow velocity is larger than the wave velocity. The analogous condition in gas dynamics is supersonic . Information travels at the wave velocity. This is the velocity at which waves travel outwards from a pebble thrown into a lake. The flow velocity is the velocity at which a leaf in the flow travels. If a pebble is thrown into a supercritical flow then the ripples will all move down stream whereas in a subcritical flow some would travel up stream and some would travel down stream. It is only in supercritical flows that hydraulic jump s Tidal bore bores can occur. In fluid dynamics , the change from one behaviour to the other is often described by a dimensionless quantity , where the transition occurs whenever this number becomes less or more than one. One of these numbers is the Froude number math Fr stackrel mathrm def frac U sqrt gh math , where U velocity of the flow g acceleration due to gravity 9.81 m s or 32.2 ft s h depth of flow relative to the channel bottom If math Fr 1 math , we call the flow subcritical if math Fr 1 math , we call the flow supercritical . See also Momentum Depth Relationship in Rectangular Channel Subcritical and supercritical flow Subcritical vs. supercritical flow Supersonic Hypersonic DEFAULTSORT Supercritical Flow Category Fluid dynamics fr coulements torrentiel et fluvial nl Superkritische stroming The Hydraulics of Open Channel Flow An Introduction. Physical Modelling of Hydraulics Chanson, Hubert 1999 ... more details
Corrected Flow is the mass flow that would pass through a device e.g. compressor, bypass duct, etc. if the inlet pressure and temperature corresponded to ambient conditions at Sea Level, on a Standard Day e.g. 14.696 lbf in , 518.7R . Corrected Flow, math w sqrt theta delta math , can be calculated as follows, assuming Imperial Units math w sqrt theta delta w sqrt T 518.7 P 14.696 math Corrected Flow is often given the symbol math wc math or math wr math for referred flow . So called Non Dimensional Flow, math w sqrt T P math , is proportional to Corrected Flow math w sqrt T P w sqrt theta delta sqrt 518.7 14.696 math The equivalent equations for Preferred SI Units are 101.325kPa, 288.15K math w sqrt theta delta w sqrt T 288.15 P 101.325 math math w sqrt T P w sqrt theta delta sqrt 288.15 101.325 math Nomenclature math P math Stagnation or Total Pressure math T math Stagnation or Total Temperature math w math Real Mass Flow math delta math Referred Pressure math theta math Referred Temperature In relative form, Corrected Flow, Referred Flow and Non Dimensional Flow are all measures of axial Mach number. Side note If the mass flow can be consider an energy source such as fuel flow, the corrected flow is calculated as follows math w delta sqrt theta math See also compressor map turbine map corrected speed Category Turbines Category Aerospace engineering Category Jet engines Engine aircraft stub ... more details
Image Meridionalflowpattern.jpg thumb right 250 px Meridional Flow pattern of October 23, 2003. Note the amplified troughs and ridges in this 500 hPa height pattern. Meridional flow is a meteorology meteorological term meaning that the general flow pattern is north to south, or south to north, along the Earth s longitude lines perpendicular to a zonal flow . Extratropical cyclone s in this environment tend to be stronger and move slower. This pattern is responsible for most instances of extreme weather , as not only are storms stronger in this type of flow regime, but temperatures can reach extremes as well, producing heat wave s and cold wave s depending on the equator ward or poleward direction of the flow. See also Atmospheric circulation Cyclone References http amsglossary.allenpress.com glossary search?id meridional flow1 AMS Glossary of Meteorology http www.usatoday.com weather wmeridio.htm Meridional flow brings extreme weather to USA Category Basic meteorological concepts and phenomena Category Weather climate stub fr Circulation atmosph rique Flux m ridional no Meridional str m nn Meridional straum pt Fluxo meridional ... more details
Material flow MF is the description of the transportation of raw materials, pre fabricates, parts, components, integrated objects and finally products as a flow of entities. The term applies mainly to advanced modeling of Supply chain management . As industrial material flow can easily become very complex Plant Simulation Software has been developed to simulate, visualize, analyze and optimize these processes. Origin The aim of understanding the inflow and outflow of materials and objects no longer as a sequence of residing pools but as a stream or flow shall re orient the understanding of material management from the stock and warehouse management concept to a flow management concept ref http www.efb consulting.de efb consulting tp pub verans flowmanage PDF M 20Vortrag 20Thomas 20Hoehn.pdf ref , where residing quantities and volumes may be minimized. See also Cash flow Industrial ecology Information flow Input output analysis Input Output Analysis Sustainability References Reflist Category Control engineering Category Industrial ecology Category Industrial engineering Category Systems ecology Category Resource economics ru ... more details
Flow conditioning ensures that the real world environment closely resembles the laboratory environment for proper performance of inferential flow measurement flowmeters like Gas meter orifice , gas meter turbine , gas meter coriolis , gas meter ultrasonic etc. Types of Flow Basically, fluid dynamics Flow in pipe fluid conveyance pipe s can be classified as follows Fully developed flow found in world class flow laboratories Pseudo fully developed flow Non swirling, non symmetrical flow Moderate swirling, non symmetrical flow High swirling, symmetrical flow Types of Flow Conditioners File Figure a . flow conditioner.GIF thumb Figure a showing The Flow conditioner Flow conditioners shown in fig ... swirl and non symmetry, but do not produce pseudo fully developed flow Those that eliminate swirl, non symmetry and pseudo fully developed flow high performance flow conditioners Natural gas .... The effect of flow conditioning for various popular meters which is used in gas measurement is explained below. Pipe flow conditions The most important as well as most difficult to measure aspects of flow measurement are flow conditions within a pipe upstream of a meter. Flow conditions mainly ... or turbulence intensity profile, swirl and any other fluid flow characteristics which will cause the meter to register flow different than that expected. It will change the value from the original .... ref Miller, W. Richard, Flow Measurement Engineering Handbook , McGraw Hill , Third Edition, 1996 ..., exceptional pipe roughness or smoothness, elbows, valve s, tees and reducer s causes the flow conditions ... of any standard metering design. Flow Conditioning refers to the process of artificially generating a reference, fully developed flow profile and is essential to enable accurate measurement while ... flowmeter artc 04031102.html Flow conditioning for Natural gas measurement ref Law of similarity .... With respect to calibration of flowmeters, the Law of Similarity is the foundation for flow measurement ... more details
In fluid mechanics , multiphase flow is a generalisation of the modelling used in two phase flow to cases where the two phases are not chemically related e.g. dusty gases or where more than two phases are present e.g. in modelling of propagating steam explosion s . Each of the phase matter phase s is considered to have a separately defined volume fraction the sum of which is unity , and velocity field. Continuity equation Conservation equations for the flow of each species perhaps with terms for interchange between the phases , can then be written down straightforwardly. The momentum equation for each phase is less straightforward. It can be shown that a common pressure field can be defined, and that each phase is subject to the gradient of this field, weighted by its volume fraction. Transfer of momentum between the phases is sometimes less straightforward to determine, and in addition, a very light phase in bubble form has a added mass virtual mass associated with its acceleration. The virtual mass of a single bubble is about half its displaced mass . These terms, often called constitutive equation constitutive relation s, are often strongly dependent on flow regime See also Two phase flow Buckley Leverett equation Darcy s law Multiphase flow Darcy s law for multiphase flow in porous media. Multiphase flow meter three phase flow meter Multiphase Heat Transfer References cite book author Crowe, Clayton Sommerfield, Martin Yutaka, Tsuji title Multiphase Flows with Droplets and Particles publisher CRC Press year 1998 isbn 0849394694 Wang, M. Impedance mapping of particulate multiphase flows, Flow Measurement and Instrumentation, 2005 Vol. 16 cite book author Crowe, Clayton title Multiphase Flow Handbook publisher CRC Press year 2005 isbn 0849312809 cite book author Brennen, Christopher title Fundamentals of Multiphase Flow publisher Cambridge University Press year 2005 isbn 0521848040 DEFAULTSORT Multiphase Flow Category Fluid dynamics fluiddynamics stub de Mehrphasenstr mung ... more details
Flow assurance ref http www.scribd.com doc 9701419 Detecting Gas Hydrate Behavior in Crude Oil Using NMR ref ref http www.offshore mag.com display article 230881 9 ARCHI none none 1 Coping with flow assurance ref is a relatively new term in oil and gas industry . It refers to ensuring successful and economical flow of hydrocarbon stream from reservoir to the point of sale. The term was coined by Petrobras in the early 1990s in Portuguese language Portuguese as Garantia do Escoamento pt Garantia do Escoamento , meaning literally Guarantee of Flow , or Flow Assurance. Flow assurance is extremely diverse, encompassing many discrete and specialized subjects and bridging across the full gamut of engineering disciplines. Besides network modeling and transient multiphase simulation, flow assurance involves effectively handling many solid deposits, such as, gas hydrates ref http hydrates.white.prohosting.com ref , asphaltene , paraffin wax Wax wax , scale, and naphthenate naphthenates . Flow assurance is most critical task during deep water energy production because of the high pressures and low temperature 4 degree Celsius involved. The financial loss from production interruption or asset damage due to flow assurance mishap can be astronomical. What compounds the flow assurance task even further is that these solid deposits can interact with each other ref http www.scribd.com doc 9701451 Investigation of Interactions Between Gas Hydrates and Several Other Flow Assurance Elements wax asphaltene scale naphthenates ref and can cause catastrophic blockage formation in Pipeline transport pipelines and result in flow assurance failure. References reflist DEFAULTSORT Flow Assurance Category Energy technology http drbratland.com PipeFlow2 index.html ... more details
Flow stress is defined as the instantaneous value of stress required to continue deforming the material to keep the metal flowing. It is the yield strength of the metal as a function of strain, which can be expressed ref Mikell P. Groover, 2007, Fundamentals of Modern Manufacturing Materials, Processes, and Systems, Third Edition, John Wiley & Sons Inc. ref Yf Ke sup n sup Yf Flow stress, MPa e Strain materials science True strain K Strength Coefficient, MPa n Work hardening Strain hardening exponent Hence, Flow stress can also be defined as the stress required to sustain plastic deformation at a particular strain. The flow stress is a function of plastic strain. Flow stresses occur when a mass of flowing fluid induces a dynamic pressure on a conduit wall. The force of the fluid striking the wall acts as the load. This type of stress may be applied in an unsteady fashion when flow rates fluctuate. Water hammer is an example of a transient flow stress. The following properties that have an effect on flow stress chemical composition , purity, crystal structure , phase constitution, exit microstructure, grain size , and heat treatment . ref http www.metalpass.com metaldoc paper.aspx?docID 3 Flow Stress Bot generated title ref References reflist Category Metallurgy Category Mechanical engineering engineering stub ... more details
Refimprove date November 2008 Image Flow blue bowl.jpg thumb left 200px Flow blue vegetable server in the Normandy pattern produced by The Potteries Staffordshire potter Johnson Brothers c. 1890 Flow blue is a style of white earthenware, sometimes porcelain , that originated in the Regency era, sometime in the 1820s, among the The Potteries Staffordshire potters of England . The name is derived from the blue glaze that blurred or flowed during the firing process. ref http www.antiquesjournal.com pages04 archives flowblue.html ref Image Flow blue Alcock plate.jpg thumb right 200px Detail of a gilded, polychrome flow blue plate manufactured by Samuel Alcock , Staffordshire, Hyson pattern, c. 1843. Most flow blue ware is a kind of transferware , where the decorative patterns were applied with a paper stencil to often white glazed blanks , or standard pottery shapes, though some wares were hand painted. The stencils burned away in the kiln. The blue glazes used in flow blue range from gray blue to sometimes greenish blue, to an inky blue however the most desirable and sought after shade is a vivid cobalt blue. Mulberry is another form of flow blue, where the glaze is more purple in hue. References reflist http home.comcast.net dinerware bitz17.html Flow Blue China from Buzz Bitz Category Types of pottery decoration Industry stub ceramics stub ... more details
Refimprove date July 2010 A flow splitter , in hydraulic engineering , is any device designed to break up the flow of water or nappe water nappe over a dam wall or weir . Flow splitters are used to reduce the likelihood of nappe vibration that might cause the failure of a dam wall by aerating the water flow. They are also used to restrict large flows of stormwater , in situations where a stormwater management device is designed only to treat small storms. ref name Met Council BMP Metropolitan Council, St. Paul, MN 2001 . http www.metrocouncil.org environment water BMP CH3 STFlowSplitters.pdf Flow Control Structures Flow Splitters. Urban Small Sites Best Management Practice Manual. ref Another use for a flow splitter is to again break up the nappe so as to allow fish, such as salmon to swim upstream and over small weirs. Split flow weirs are also used in water purification drinking water and wastewater treatment plants sewage treatment or industrial wastewater treatment to proportion flows to different outlets in a junction box. See also Flow control structure References Reflist engineering stub Category Hydraulic engineering Category Physical infrastructure es Divisor de flujo ... more details
A Flow show is a device on a drilling rig petroleum drilling rig that is attached to the flow line and has a paddle that swings out as the flow of drilling fluid passes by it. The angle of the paddle increases as the volume of drilling fluid increases and pushes it out further and vice versa. The purpose of the flow show is to allow the driller and other rig personnel to monitor the flow of drilling fluid as it comes out of the hole. The reason for monitoring the flow If a high pressure zone is drilled and overcomes the hydrostatic pressure of the column of drilling fluid, the fluid or gas in the high pressure zone will begin to enter the borehole and increase the amount of fluid coming out of the hole. By monitoring the flow, rig personnel will know in advance before the flow becomes critical. If a low pressure zone is drilled and is overcome by the hydrostatic pressure of the column of drilling fluid, the low pressure zone may begin to take fluid and decrease the amount of fluid coming out of the hole. By monitoring the flow, rig personnel will know in advance before losing too much drilling fluid which is typically very expensive down the hole and or losing so much fluid that the hydrostatic pressure of the decreasing column of mud becomes so low that a blowout situation becomes imminent. See Drilling rig petroleum for a diagram of a drilling rig. Petroleum stub Category Oilfield terminology Category Drilling technology Category Petroleum engineering ... more details
orphan date December 2007 The Flow Skatepark is a world famous skatepark in Columbus, Ohio , US, established July 6, 2001 by Shannon Turner and Craig Billingsley. At approximately convert 50000 sqft m2 , The Flow is one of the largest indoor skateparks in the nation. It was voted 1 skatepark in the United States by Fuel TV . Citation needed date April 2011 Image TheFlow1.jpg thumb The Flow 200px right A section of The Flow Contests The Dirty East The Dirty is one of the largest Bmx Pro Am Contests in the midwest. It s been around since 2001. Hellaween The King of Rhythm External links http www.ridetheflow.com Official Web Site coord missing Ohio DEFAULTSORT Flow Category Sports venues in Columbus, Ohio Category Skateparks ... more details
FLOW is a Belgium Belgian national health care network, meant for health care providers and patient s. It is an acronym which stands for Facilities services and related infrastructure , Legal implementation the telex files , Organisations locoregional teams and Wisdom coordination and supervision center . The system is built around the principle of a shared health patient record. Regions FLOW Alfa Wallonia FLOW Beta Brussels FLOW Gamma Flanders See also Belgian Health Telematics Commission BHTC BeHealth KMEHR SumEHR Source http www.vzwgo.be images newsflash 2000611 flow 20gamma 20II.pdf FLOW http www.lachambre.be FLWB pdf 51 1371 51K1371031.pdf Note de Politique Generale 3 Dec. 2004 Category Health informatics health stub ... more details
In graph theory , a flow network also known as a transportation network is a Graph mathematics Directed graph directed graph where each edge has a capacity and each edge receives a flow. The amount of flow ... is called a network , the vertices are called nodes and the edges are called arcs . A flow must satisfy the restriction that the amount of flow into a node equals the amount of flow out of it, except when it is a source , which has more outgoing flow, or sink , which has more incoming flow. A network ... u, v 0 math . We distinguish two vertices a source math s math and a sink math t math . A flow network ... f u,v le c u,v math . The flow along an edge cannot exceed its capacity. Skew symmetry math f u,v f v,u math . The net flow from math u math to math v math must be the opposite of the net flow from math v math to math u math see example . Flow conservation math sum w in V f u,w 0 math , unless math u s math or math u t math . The net flow to a node is zero, except for the source, which produces flow, and the sink, which consumes flow. Notice that math f u,v math is the net flow from math u math to math v math . If the graph represents a physical network, and if there is a real flow of, for example, 4 units from math u math to math v math , and a real flow of 3 units from math v math to math .... Since flows in opposite directions cancel out, decreasing the flow from math v math to math u math is the same as increasing the flow from math u math to math v math . An augmenting path is a path ... c f u i, u i 1 0 math . A network is at maximum flow if and only if there is no augmenting path ... flow.png right frame 100px A flow network showing flow and capacity To the right you see a flow network with source labeled math s math , sink math t math , and four additional nodes. The flow and capacity ... and flow conservation. The total amount of flow from math s math to math t math is 5, which can be easily seen from the fact that the total outgoing flow from math s math is 5, which is also the incoming ... more details
Unreferenced date July 2007 Image Flow banded rhyolite.JPG thumb 300px Flow banded w Rhyolite rhyolite in the Dunn Point Formation w Ordovician Ordovician exposed near Arisaig, Nova Scotia. Image Peroxenite banding.JPG thumb 260px Flow banding at the rim of a peridotite intrusion . Dark and green pyroxenite bands at the bottom represent the melt, brownish lherzolite bands at the top the solid phase. Near Midsund , Norway , 1 euro coins 1 euro coin for scale. Flow banding is a geological term to describe bands or layers that can sometimes be seen in rock that formed from the substance magma molten rock or magma. Flow banding is caused by friction of the viscous magma which is in contact with a solid rock interface, usually the wall rock to an intrusive chamber or if the magma is erupted, the surface of the earth across which a lava is flowing. The friction and viscosity of the magma causes phenocrysts and xenolith s within the magma or lava to slow down near the interface and become trapped in a viscous layer. This forms laminar flow, which manifests as a banded, streaky appearance. Flow banding is the result of a process of Fractional crystallization geology fractional crystallization which occurs by convection , if the crystals which are caught in the flow banded margins are removed from the melt. This can change the composition of the melt in large intrusions, leading to differentiation. In layered intrusion s flow banding can occur with crystal cumulate rock accumulation , forming pseudo sedimentary structures. Flow banding can also occur due to disturbances in the field of flow thus forming a haemotomtic flow band, these are common in the region of upper Iceland, there are many good Icelandic videos in which this rare phenomenon can be observed. See also Cumulate rock Igneous differentiation Fractional crystallization Category Igneous rocks Category Structural geology Category Volcanology Category Igneous petrology Volcanology stub he ... more details
Flow measurement is the quantification of bulk fluid movement. Flow can be measured in a variety of ways. Positive displacement flow meters accumulate a fixed volume of fluid and then count the number of times the volume is filled to measure flow. Other flow measurement methods rely on forces produced by the flowing stream as it overcomes a known constriction, to indirectly calculate flow. Flow may ... flow can be measured in volumetric flow rate volumetric or mass flow rate s, such as liters ... content, such as the sale of natural gas , the flow rate may also be expressed in terms of energy flow, such as GJ hour or BTU day. The energy flow rate is the volume flow rate multiplied by the energy content per unit volume or mass flow rate multiplied by the energy content per unit mass. Where accurate energy comes to the time of the legit flow rate is desired, most flow meters will be used to calculate the volume or mass flow rate which is then adjusted to the energy flow rate by the use of a flow computer . In engineering contexts, the volume tric flow rate is usually given the symbol math Q math , and the mass flow rate, the symbol math dot m math . Gas Gases are compressible and change ... will be made to actual flow rate through a meter and standard or base flow rate through a meter ... , LFM linear feet per minute , or MSCFD thousands of standard cubic feet per day . Gas mass flow rate can be directly measured, independent of pressure and temperature effects, with thermal mass flow meter s, Coriolis mass flow meter s, or mass flow controller s. Liquid For liquids, various units ... 3 sup s. Mechanical flow meters File Tetley s brewery, Leeds 10th May 2010 008.jpg thumb right A magnetic flow meter at the Tetley s Brewery in Leeds , West Yorkshire . Bucket and stopwatch Perhaps the simplest way to measure volumetric flow is to measure how long it takes to fill a known volume ... when the flow starts, and stopped when the bucket overflows. The volume divided by the time gives ... more details
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