Valve unit density

Total number of actual trays in tower Number of caps per tray Number of slots per bubble cap Valve density, number of valves per ft or Number of valve units on a valve tray Depth of notches in weir, in or Exponent defined by Equations 8-288 and 327 Dry tray pressure drop for 50% cut baffles, in. liquid per baffle or... 

Although it has been common practice to specify the pressure loss in ordinary valves in terms of either equivalent length of straight pipe of the same size or velocity head loss, it is becoming more common to specify flow rate and pressure drop characteristics in the same terms as has been the practice for valves designed specifically for control service, namely, in terms of the valve coefficient, C. The flow coefficient of a valve is defined as the volume of Hquid at a specified density that flows through the fully opened valve with a unit pressure drop, eg, = 1 when 3.79 L/min (1 gal /min) pass through the valve... 

It should be noted that the above maximum radiant heat density criteria for application to inadvertently ignited atmospheric releases from pressure relief valves or vents are less restrictive than those used for flare design. This results from the fact that flares are continuously ignited, whereas ignition of a relieving PR valve is unlikely. In addition, the area surrounding a flare is open and offers no protection, while within a process unit access to shelter is available. 

This equation defines the flow coefficient, Cv. Here, SG is the fluid specific gravity (relative to water), pw is the density of water, and hv is the head loss across the valve. The last form of Eq. (10-29) applies only for units of Q in gpm and hv in ft. Although Eq. (10-29) is similar to the flow equation for flow meters, the flow coefficient Cv is not dimensionless, as are the flow meter discharge coefficient and the loss coefficient (Af), but has dimensions of [L3][L/M]1/2. The value of Cv is thus different for each valve and also varies with the valve opening (or stem travel) for a given valve. Values for the valve Cv are determined by the manufacturer from measurements on each valve type. Because they are not dimensionless, the values will depend upon the specific units used for the quantities in Eq. (10-29). More specifically, the normal engineering (inconsistent) units of Cv are gpm/ (psi)1/2. [If the fluid density were included in Eq. (10-29) instead of SG, the dimensions of Cv would be L2, which follows from the inclusion of the effective valve flow area in the definition of Cv]. The reference fluid for the density is water for liquids and air for gases. 

Typical manufacturer s values of Cv to be used with Eq. (10-29) require the variables to be expressed in the above units, with hv in ft. [For liquids, the value of 0.658 includes the value of the density of water, pw = 62.3 lbm/ft3, the ratio g/gc (which has a magnitude of 1), and 144 (in./ft)2]. For each valve design, tables for the values of the flow coefficients as a function of valve size and percent of valve opening are provided by the manufacturer (see Table 10-3, pages 318-319). In Table 10-3, Km applies to cavitating and flashing liquids and C applies to critical (choked) compressible flow, as discussed later. 

However, current forms of LOAC devices have many components external to the microfluidic chip such as valves, pumps, power supplies, electronic circuitry, and reagent/waste storage units. While these devices are a major advance on pre-existing autonomous instruments and could be deployed on a reasonable scale, they are typically too large, consume too much power and are too expensive for high-density deployment. 

The pressure rise resulting from the sudden closing or partial closing of a valve can be determined from the change of fluid momentum across the pressure wave. It will be assumed that the fluid is a liquid so that changes in density are negligible. If the fluid s velocity upstream of the pressure wave is ux and that downstream is u2, the change of momentum per unit... 

Each cell is provided with an individually controlled air valve. Air pressure is between 108 and 124 kN/m2 (7 and 23 kN/m2 gauge) depending on the depth and size of the machine and the pulp density. Typical energy requirements for this machine range from 3.1 kW/m3 of cell volume for a 2.8 m3 unit to 1.2 kW/m3 for a 42 m3 unit. 

In patients with cardiac hypertrophy from chronically pressure-loaded human left ventricles due to aortic valve stenosis, a general reduction in gap junction surface area per unit cell volume by about 40% (0.0031 versus 0.0051 pm2/ pm3) has been observed [Peters et al., 1993]. The gap junctions in the pathological tissue were larger than normal. The estimated gap junction content per cell was reduced [Peters et al., 1993]. A reduction by 30% in the gap junction surface per cell was observed [Peters, 1996]. However, the number of intercalated disks per myocyte and the mean density of packing of connexons at freeze-fracture in these hearts remained unchanged as compared to control hearts. 

To minimize vapor channeling, valve trays are designed to exceed a minimum unit reference (50). A unit reference is the ratio of the vapor rate to the vapor rate at which all the valves are open (Sec. 6.3.2). A minimum unit reference of 40, 60, and 80 percent is recommended for one-, two-, and four-pass trays, respectively (50). If the unit reference falls below the minimum, selected valves can be blanked, valve density can be reduced, or the ratio of light to heavy valves can be varied (7,50). 

This equation defines the flow coefficient, Q Here, SG is the fluid specific gravity (relative to water), is the density of water, and h is the head loss across the valve. Valve C s are determined by the manufacturer, and the values are different for each valve and also vary with the valve opening (or stem travel) for a given valve. Although Equation (5.167) is similar to the flow equation for flow meters, the flow coefficient C is not dimensionless, but has dimensions of [L ][L/M] . More specifically, the normal engineering units for C are gpm/(psi) ... 

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