Critical cavitation number

What is Cavitation Number - Definitio

The Cavitation number is a dimensionless number which expresses the relationship between the difference of a local absolute pressure from the vapor pressure and the kinetic energy per volume, and is used to characterize the potential of the flow to cavitate Cavitation Number - introduction and definition of the Cavitation Number; Cavitation - an Introduction; Application Ratio. A common way to characterize potential cavitation condition is the applications ratio (or the incipient cavitation index) which can be expressed as. AR = p i - p o / (p i - p v) (1) where. AR = Application Rati

Cavitation Number - an overview ScienceDirect Topic

  1. supercavity is a function of the product of the Froude number and the cavitation number. (Skidmore, Brungart, Lindau, & Moeny, 2016). Furthermore, an empirical relationship has been found giving drag coefficient as a function of cavitation number (May, 1975)
  2. imum allowable value of cavitation index, Kd, should be selected based on the following: (1) Cavitation index Kd=0.37 shall be used for the usual case. At this critical cavitation condition, the noise is steady but still light. No erosion will occur
  3. 4 NPSH & Cavitation I n Pumps & Systems January 2007, I wrote an article about cavitation and how a collapsing water vapor bubble can damage an impeller. Since then, I have received a number of requests to address Net Positive Suction Head (NPSH) and its relationship to cavitation. Here it is in a very simple, Pump Ed 101 perspective
  4. , A. V. Vasil'ev, and E. N. Syrkin UDC 532.528 A method of estimating the critical cavitation number for marine propeller blades is proposed. This method is based on th
  5. • Thoma cavitation number: g H NPSH TH 7. Part 1Part 1 - What is cavitation (cont )What is cavitation (cont.) In general, cavitation performance is related to some critical value: NPSHA (=available) > NPSHc or NPSHR (=critical or required

Critical cavitation number determination in diesel injection nozzles. R. Payri 1, C. Guardiola 1, F. J. Salvador 1 & J. Gimeno 1 Experimental Techniques volume 28, pages 49-52 (2004)Cite this articl Critical cavitation number measurements procedure Angles of attack were varied between 0 and 17° and the free stream velocity comprised between 5 m/s and 15 m/s for the cavitation tests. Data reported here were obtained without seeding the flow with nuclei at oxygen contents of about 3.2 ppm. Ti A certain water flow at 20ºC has a critical cavitation number, where bubbles form, Ca ≈ 0.25, where Ca = 2(p a - p vap)/(ρ V 2). If p a = 1 atm and the vapor pressure is 0.34 psia, for what water velocity will bubbles form? (a) 12 mi/hr (b) 28 mi/hr (c) 36 mi/hr (d) 55 mi/hr (e) 63 mi/h

Based on the different cavitation stages in the multiphase pump, the cavitation number σ of 8.285 (inception cavitation), 5.46 (critical cavitation), 1.23 (critical fracture) and 1.006 (fracture) is selected and emphatically analyzed in this paper. 4.2. Cavitation evolution proces The cavitation number (Ca) is a dimensionless number used in flow calculations. It expresses the relationship between the difference of a local absolute pressure from the vapor pressure and the kinetic energy per volume, and is used to characterize the potential of the flow to cavitate. It is defined a R. Payri, C. Guardiola, F.J, Salvador, and J, Gimeno are affiliated with CMT Metres Termicos, Universidad Politecnico de Valencia, Spain. Search for more papers by this autho

(PDF) Critical Cavitation Number Determination in Diesel

  1. critical cavitation number: cifră de cavitaţie critică (fam.) A1; amer. A number one; A No. 1. clasa prima (fam.) his number is up. e pe dric (fam.) to look after number one; to look well after the inner man. a se îngriji de sufleţelul său (pop.) to look after/to take care of number one. a pune propriile-i interese pe primul pla
  2. little inferior, but the critical cavitation number is better for impeller R3. For impeller R4, whose blade inlet angle at mid-span is larger compared with impeller R1, both cavitation performance and hydraulic performance are hardly changed. Figure 3. Cavitation performances for different impellers at design point. Table 3
  3. NPSH: Net Positive Suction Head can be defined as the difference between the liquid pressure at the suction point of the pump and vapour pressure of the liquid, which is expressed in the terms of height of liquid column. Thoma's Cavitation Factor: It is an equation which is used to measure the cavitation in a hydraulic pump installation. It is denoted by the symbol 'σ'
  4. The orifice critical cavitation number is closely related to the orifice plate size, and especially closely related with the ratio of the orifice plate radius to the tunnel radius
  5. However, for values larger than 0.540 (340 K, 5000 rpm), the critical cavitation number and the rotating cavitation onset cavitation number become independent of the nondimensional thermal parameter. The onset of the head coefficient degradation correlates with the onset of rotating cavitation regardless of temperature

Critical Cavitation Number Determination in Diesel

A method of estimating the critical cavitation number for marine propeller blades is proposed. This method is based on the reduction of the three-dimensional unsteady problem to the three-dimensional steady problem and a series of two-dimensional unsteady problems Cavitation Heute bestellen, versandkostenfrei nature and downstream of the leaf. An evaluation of the critical cavitation-index values for various gate openings showed an in-crease with increase in opening until the valve was about 65 per cent open then a decrease with larger opening, Fig. 5. From this curve it appears that the critical value of the cavitation index should . a _ _ _ _ _ The critical cavitation number for a streamlined strut is 0.7. Find the maximum velocity of the body to which the strut is attached if cavitation is to be avoided. The body is traveling 5 m beneath a water surface Tests were made on butterfly vaives similar to those used in the discharge leg of each of the three external recirculation loops of the Pathfinder reactor in order to determine the critical values of a dimensionless cavitation number ( /occurred in pu ) used to specify the limits of operation for reactor valves, at incipient cavitation

Using simulations we identify a critical value of the Reynolds number for cavitation inception that scales inversely with the order parameter of the fluid. Strikingly, the critical Reynolds number for anisotropic fluids can be 50% lower than that of isotropic fluids The degree of cavitation can be estimated with a non dimensional parameter referred as cavitation number, K. K = 2 . (Pd - Pv) / (ρ. v 2) Where. K = Cavitation Number. Pd = Pressure downstream. Pv = Pressure at vena contracta. Ρ = density. V = velocity. The critical cavitation number is between 0.2 an 1.5 [Lamb (1987)] as shown in figur

Cavitation Number Calculator - Online Calculator

Control Valves and Cavitation - Engineering ToolBo

The orifice critical cavitation number is closely related to the orifice plate size, and especially closely related with the ratio of the orifice plate radius to the tunnel radius. The approximate formula for the critical cavitation number of the square orifice plate that only considers the main influencing factor was obtained by model experiments Cavitation is the formation and subsequent collapse, within a liquid, of cavities or bubbles that contain vapor or a mixture of vapor and gas (ASTM-G32).In the presence of an ultrasonic field, this growth and collapse typically occurs during a small number of ultrasonic cycles Cavitation number. The cavitation number has a similar structure, but a different meaning and use: The cavitation number (Ca) is a dimensionless number used in flow calculations.It expresses the relationship between the difference of a local absolute pressure from the vapor pressure and the kinetic energy per volume, and is used to characterize the potential of the flow to cavitate Cavitation occurs when the cavitation number defined by Equation (9) is below a critical value, K crit, that depends on pressure and nozzle details. While Equation (9) is easier to use in that all the pressures can be either measured or estimated, K crit must be determined experimentally or numerically Cavitation Performance of Cylindrical Choke ―Critical Cavitation Number in Unsteady Flow― By 邑里 青山, ユリ アオヤマ, Yuri Aoyama, 祥浩 松岡, ヨシヒロ マツオカ, Yoshihiro Matsuoka, 全男 山本, マサオ ヤマモト, Masao Yamamoto, 昇 小池, ノボル コイケ, Noboru Koike, 隆彦 島田, タカヒコ.

The optimization goal was to minimize the critical cavitation number that corresponds to a 5% drop of pressure increase through the pump due to cavitation. A starting point of the optimization was the industrial pump designed by a Japanese company Teral [1]. The results of the numerical optimization show that the critical cavitation number was. excursion into rotating cavitation (start +52 through 55 seconds). The LOX pump was operating at 88% of rated flow during the transient and traversed the critical Nss region of the rotating -synchronous cavitation boundary (Figure 6, -16 kNss). The 3(rc - N) component is thought to be cavitation surge in the LOX environment near least squared approach has been developed to build the equation to calculate the critical submergence based on the Reynolds and Weber number. The numerical method used in this paper is a finite element model with a fluid volume scheme, used normally in the fluid simulation activi-ties. Keywords Submergence, Froude, Reynolds, Weber, Cavitation If either equation (4.6) or (4.7) is made equal to equation (4.4), it is possible to determine a curve that connects the critical Reynolds number (Re cr) to the critical cavitation number (CN cr), both of which correspond to the choked flow Example: Critical Reynolds Number. A long thin flat plate is placed parallel to a 1 m/s stream of water at 20°C.Assume that kinematic viscosity of water at 20°C is equal to 1×10-6 m 2 /s. At what distance x from the leading edge will be the transition from laminar to turbulent boundary layer (i.e. find Re x ~ 500,000). Solution


  1. With the cavitation number K the resistance of the flow to cavitation is quantified. The higher K, the less likely cavitation is to occur. A critical cavitation number of K≈ 0.71 is reported, below which cavitation is likely to appear. In Table 1 the cavitation numbers at the regarded operation conditions are summarized
  2. Abstract Experimental study on cavitation occurrence in organic liquids such as benzene, kerosene, and gasoline is conducted and the experimental results or the critical cavitation number are compared with the calculated values predicted from two-phase flow analogy. The prediction shows reasonable agreement with the experimental data
  3. Presentation On chute spillways and bottom outlets, cavitation damage may occur at clear water velocities of between 12 to 15 m/s .The damaging effects of cavitation erosion may be reduced or stopped by decreasing the critical cavitation number (e.g. removal of surface irregularities), increasing the cavitation resistance of the material surface (e.g. use of steel fibre concrete), using a.
  4. 1991FindingSP, title={Finding ship propeller profiles with the least critical cavitation number}, author={{\'E}
  5. Hydrodynamic cavitation (HC) is a phase change phenomenon involving a liquid and commences when the static pressure drops to a critical value—the saturation vapor pressure
  6. Several flow rates and rotation speeds are investigated. Significant differences between the inducers are obtained concerning the critical cavitation number, the amplitude of the radial forces, and the organization of cavitation in the machinery. Cavitation instabilities are investigated in the second part of the study
  7. Incipient cavitation in liquids flowing in pipes curved in one plane are affected by the pipe bend radii and pipe diameters, but little by pipe bend angles ranging from 60 to 120 degrees. Critical cavitation indices decrease with higher Reynolds number and pressure ratio. Bulk liquid temperature increase lowers the mean critical velocity at which cavitation occurs

In 2019, PNNL's Solid-State Processing (SSP) project completed a series of laboratory tests and successfully identified a number of techniques with potential to reduce cavitation erosion, a critical step toward enhancing the performance and service life of new and repaired hydropower components cavitation indexes normally used in defining this level of cavitation are cr 1 and c r2 (Eq 4 and 5). The cavitation intensity at this condition consists of light intermittent bursts of noise. This limit is conservative and is suggested for use only when noise or other cavitation disturbances can be tolerated. Critical cavitation. The next. Cavitation is the formation and subsequent collapse of vapour bubbles in a flowing liquid and is often responsible for significant damage flow equipment such as pumps. This article will provide an overview of cavitation and provide insight into the identification and prevention of cavitation conditions through the calculation of Net Positive Suction Head (NPSH) Figure 12: A representative plot of A′ vs. the cavitation number, σ, showing four different cavitation regimes. The black line is the non-cavitating regime, the red line is the incipient cavitation regime, the blue line is the fully cavitating regime, and the green line is the choked cavitating regime. The intersection of the red and blac A small submersible moves at velocity V, in fresh water at 20°C, at a 2m-depth, where ambient pressure is 131 kPa. Its critical cavitation number is known to b

Guidelines for sizing of Restriction Orifice for single

The importance of proper inlet conditions on hydraulic system performance is reviewed. The effect of physical properties, including vapor pressure, viscosity, density and bulk modulus on cavitation, as well as the idea of a pump-specific critical cavitation number is also discussed. Keywords: cavitation, cavitation number, hydraulic fluid. Hydrodynamic cavitation. Hydrodynamic cavitation (HC) is a phase-change phenomenon that involves a liquid and begins when the static pressure drops to a critical value known as the saturation. Finally occurrence of cavitation damage to the Doosti dam spillway was investigated. Based on cavitation index, five different damage levels from no damage to major damage have been considered. Results showed that the spillway may be at the risk of cavitation damage, and the serious damage can occur at ending parts of the structure

(A) Simulation box volume (Upper) and the number of intermonolayer contacts N c (Lower) as a function of time, indicating a cavitation event in a constant rate simulation for a lipid system with a lateral area of 360 n m 2 and pressure rate p ⋅ = − 50 bar/ns. The orange dashed lines are linear fits to the data prior to the cavitation event The 840GC is optimised with a reduced number of components, commonality of parts and increased flexibility within the standard product range. Quick change trim- - No screwed or welded trim components. Proven trim design - Ported cage, drilled-hole cage, flare-hole cage and cascade anti-cavitation The orifice plate energy dissipater is an economic and highly efficient dissipater. However, there is a risk of cavitaion around the orifice plate flow. In..

The Ultimate Critical Service Trim. Anti-cavitation and noise attenuation - Liquid & Gas Service. Size Range: 1,5 to 36. Pressure Class range: ANSI Class 150# to 2500#. Material: Metal. Custom engineered to meet customer specific requirements Incremental Automation Investment Perfectly Positions Moldmaker to Produce High-Cavitation, Critical Dimension Molds Next, all details are input into JMSpro, assigned to a particular job and RFID chip number, and that chip is attached to the pallet that will carry the workpiece throughout Industrial's facility, enabling the company to run. The onset of cavitation generally appears for a critical value of the cavitation number known as the incipient cavitation number Vi. Starting from the fully wetted flow, cavitation inception can be reached either by decreasing the reference pressure or increasing the flow velocity, both leading to a decrease in cavitation number A number of experimental and numerical studies on unsteady cavitation, mainly focusing on the effect of fluid property variations in isothermal cavitating shear layers of water, have been reported in literatures [3,7,8]

Critical cavitation number determination in diesel

  1. At high cavitation numbers, pressure amplitudes remain almost unchanged. For points P1 and P3, from cavitation number σ = 0.104 to σ = 0.091, the pressure amplitude decreases, and after that it rises rapidly. For point P5, when the cavitation number is lower than the critical point, the pressure amplitude increases steeply
  2. imum cavitation number, and P local was deter
  3. liquid boils and large number of small bubbles of vapors are formed. These bubbles mainly formed on account of low pressure are carried by the stream to higher pressure zones where the vapors condense and the bubbles suddenly collapse, as the vapors are condensed to liquid called critical cavitation factor σ.
  4. Flow past a circular cylinder from critical to trans-critical Reynolds numbers : It is well known that the flow past a circular cylinder at critical Reynolds numbers (Re=2.5e5-3.5e5) combines flow separation, turbulence transition, reattachment and turbulent separation of a boundary layer on the cylinder

A certain water flow at 20ºC has a critical cavitation

Preventing Cavitation is Critical for a Healthy Pump. By preventing cavitation, you will significantly increase the efficiency and lifespan of your pump. Remember, prevention is worth a thousand cures, so take the time to carry out a thorough maintenance program and it will save you in the long run The liquid critical pressure ratio factor, F F, multiplied by formed as the result of cavitation or flashing increases the specific volume of the fluid at a faster rate than the Reynolds Number Factor, F R The Reynolds Number Factor, F R, is used to correct the calculated C with critical cavitation properties Dipl.-Ing. Frank Bungartz Centrifugal pumps are amongst the most commonly used pumps, accounting for around 80 to 90 %. They are used for pumping a very wide variety of liquids and LPG. Their functional principle is based on a hydraulic system, consisting of an impeller, a casing, and the seal and bearing unit

Following this criterion, a stability map is derived showing that the transition depends on a critical Reynolds number which is a function of cavitation number and relative surface roughness. A good agreement was found between the model-based calculations and the experimental measurements c = g A B, hence the Froude number in the shallow water will be, Fr = u g A B. For the uniform depth and rectangular cross-section, the Froude number is given as, Fr = u g d. If Fr ≈ 1 then the flow is critical, If the Fr < 1 then the flow is Subcritical, If the Fr > 1 then the flow is Supercritical. 6 Choked flow is also called critical flow.Cavitation: Cavitation is a two stage phenomena with liquid flow. Specifically designed cavitation reduction trimwill distribute the flashing process into a large number of small jets reducing the totalturbulence and reducing the vibration effects on the Plug and the erosion effects to the body.Often.

important cavitation effects. 1 2 1 P P P P K v − − = (17) Cd =Cc K (18) When Increasing K there is a moment where cavitation disappears. The value at which cavitation disappears is know as Kcrit. For K values higher than the critical cavitation number, the flow will only be liquid phase depending mainly on the Reynolds number [11]. Thi The test bench of cavitation jet is designed, and verified with the simulation results, the specific value of critical pressure of lubricating oil cavitation under different apertures is obtained, and collected cavitation images The Cavitation behavior can be expressed in terms of cavitation parameters such as cavitation number (σ), Net Positive Suction Head (NPSH) and Thoma Cavitation number (σTH). In general, cavitation performance is related to critical values of NPSH, which is a measure of how close the fluid at a given point is to boiling inside the pump

Effect of cavitation on energy conversion characteristics

The Thoma cavitation number is an archaic one, and is not particularly relevant to pump cavitation since this occurs at the inlet of a pump, which has little relation to the total head of a pump. By using a parameter like the cavitation number, or the abstraction NPSH, one can define critical values at which certain cavitation phenomena occur With a bad airfoil and CL, getting cavitation at 20 knots is certainly possible. Cavitation is expected when the minimum Cp on the airfoil drops below the negative of the cavitation number. Assuming a near-zero vapor pressure and a small water depth, this is: Cp < -p_atm/ (0.5 rho Vinf^2 It is critical to know how xylem sap transport dysfunction varies as a function of water stress. Finally, the method is 'amnesic' in the sense that the number of cavitation events that have occurred before the onset of the recording is unknown (samples totally hydrated or totally dry both produce no AEs).. Froude number design calculator solving for Froude number given flow velocity, Water Hydraulics Circle Equations Calculator Water Hammer Calculator Friction Equations Calculator Cavitation Number Calculator Rainwater Harvesting Collection Kirpich Time Of Concentration Simplify Fractions Calculator Present Worth Calculator.

Euler number (physics) - Wikipedi

A critical event in the formation of the TB cavity has been proposed to be liquefaction, A number of proteolytic enzymes have been implicated in rabbit models of pulmonary TB. Understanding the mechanisms regulating tissue destruction and cavitation in TB is critical to identify novel, more selective therapeutic targets Fundamentals of Cavitation. This book treats cavitation, which is a unique phenomenon in the field of hyd- dynamics, although it can occur in any hydraulic machinery such as pumps, propellers, artificial hearts, and so forth. Cavitation is generated not only in water, but also in any kind of fluid, such as liquid hydrogen The number of turns, or stages, is selected to ensure a specific fluid discharge velocity is achieved at the exit of the control element. Addressing cavitation like no other - When a liquid passes through the reduced area of the valve control element it accelerates, resulting in local pressure reduction choked flows with a maximum upstream pressure of 5000 psi and a maximum Reynolds number of 2 106. For the flowconfiguration used in this work, a critical downstream-to-upstream pressure ratio of 0.45 was identified below which cavitation and flow choking will occur. Furthermore, it was found fro

Cavitation and subsequent flashing may erode the downstream pipe, causing catastrophic failure in the pipeline. Also, the vibration and noise issues will occur due to cavitation. To avoid this, the sizing of RO could be limited to the cavitation index within the incipient cavitation of RO waves in water to clean instruments by means of cavitation. 4. POLICY . It is VHA policy that all standards outlined in this Directive must be adhered to regarding reprocessing and maintaining of critical and semi-critical RME in the VA medical facilities. ANSI/AAMI standards will be applied to critical and semi-critical RME management The equal critical cavitation coefficient line was drawn according to the test results. 4. Results and discussion 4.1 Equal critical cavitation coefficient line The equal critical cavitation coefficient (c) is 0.065, which is chosen for the simulation. The calculations were performed by CFX. The calculation results are shown in Fig. 3 Critical Cavitation Factor vs Specific Speed Figure 6. Critical cavitation factor vs Ns 2 Figures 5 & 6 show the variation of critical cavitation factor from original equation and modified equation with specific speed and squared specific speed. The specific speed range of Francis turbine is 30 to 300 (4) Excerpt from our published chapter in the Handbook for Critical Cleaning, 2nd Edition Cavitation Meters - Measurement Principle Ultrasonic cavitation can produce a cavitation noise spectrum including harmonics, sub-harmonics

critical cavitation number EUdict English>Romania

The quantitative influence of the rheological fluid properties on the pressure thresholds for inertial cavitation is investigated. Pressure thresholds values in terms of the Deborah number for systems of interest in ultrasonic biomedical applications, are provided. It is found that these critical pressure amplitudes are clearly reduced as. The cavitation number is $5.4$ and the Reynolds number is $1.1\times 10^{5}$. The image was taken at the cavitation tunnel of the Laboratory for Hydraulic Machines/École Polytechnique Fédérale de Lausanne by the authors. The surface nucleus grows and when reaching a critical size a part of the surface nucleus detaches as a bubble with. Zwart et al.27 made use of the number of cavitation per unit volume n o, and the equation of the total inter-phase mass transfer rate R is drawn up as: R=n 0 3 4pR2 B r v dR B dt ð3Þ The equation of the number of cavitation per unit volume n o depends on the direction of the phase change. For the cavitation development (vaporization), n 0 is. Curing the causes of cavitation. Cavitation and net positive suction head (NPSH) issues are common detriments to effective pump operation that are often misunderstood. Entire plant systems can fail unexpectedly as a result of a mechanical-seal or pump-component failure. Plant operators may observe: It sounds like gravel is being pumped.

ε (a i) onto macroscopically visible cavities (which do not disappear as ε → 0). We restrict our attention to the critical exponent p = n, where the energy required for cavitation is of the order of and the model is suited, therefore, for an asymptotic analysis (v 1,..., v M denote the volumes of the cavities) Y.G. Adewuyi, Critical Review sonochemistry in environmental remediation. 1. Combinative and hybrid sonophotochemical oxidation processes for the treatment of pollutants in water, Environ. A. Šarc, T. Stepišnik-Perdih, M. Petkovšek, M. Dular, The issue of cavitation number value in studies of water treatment by hydrodynamic cavitation. The effect of cavitation on vibration characteristics of a two-stage throttle valve is experimentally studied by changing inlet pressure, outlet pressure and opening. The shadow photograph of the flow field in the throttle is obtained by a high-speed camera, and the signal of vibration induced by cavitation of the two-stage throttle is obtained by an acceleration sensor A number of calculators related to Fluid Mechanics are available in the below section of this page. Calculators such as BMEP calculator, Engine Horsepower calculator, external hydrostatic pressure calculator, speed calculator, and more are available for you to use and calculate as per your requirements. 1 / 4 Mile ET Calculator. Absolute Pressure Tuberculosis (TB) is one of the oldest diseases known to mankind and has been discovered in human remains more than 9,000 years old ().It was declared a global health emergency by the World Health Organization more than 20 years ago but continues to be one of the world's leading killers, with 8.6 million new cases and 1.3 million deaths in 2012 ()

Control Valves and Cavitation


  1. Ultrasound Induced Cavitation and Sonochemical Yields Cuiling Gong and Douglas P. Hart Massachusetts Institute of Technology Department of Mechanical Engineering Cambridge, MA 02139-4307 ABSTRACT The introduction of a strong acoustic field to an aqueous solution results in the generation of cavitation microbubbles
  2. imal, particularly where more sophisticated ultrasonic systems are employed
  3. The U.S. Department of Energy's Office of Scientific and Technical Informatio
  4. Lipo cavitation machine. -. $300. (New Orleans) condition: excellent. model name / number: Ms-54d1. QR Code Link to This Post. Lipo cavitation machine for sale. Have had for 2 months
  5. Capillary wave and cavitation effect. The generation of ultrasonic atomization is based on capillary wave effect and cavitation effect. When a low power is applied to a 20KHz ultrasonic atomizer, a regular grid structure is observed on the surface of the atomizer, which has the same number of peaks and troughs per unit area, called capillary wave
-Schematic of (a) subcooled boiling and (b) convective(PDF) Cavitation at Sharp Edge Multi-Hole Baffle Plates8: Kelvin-Helmholtz instability in a mixing layerInvestigation on the Effect of Different Pre-CrackingCommon Valve Problems Video - Convergence TrainingPPT - Damage Mechanisms Affecting Fixed Equipment in the
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