Chord

Figure Bl.9.7. Diagram to illustrate the relationship between chord length (i) and r in a particle.

If we consider the chord length distribution, we can express the alternating chords and I2 as ... 

The minimum number of cycles is given by the nullity or Frerejacque number ( ) according to Eq. (5). It is the difference between the number of nodes a = atoms) and the number of edges h = bonds). The value of 1 stands for the number of compounds considered (here, one compound). This minimum number corresponds to the munber of chords. These are defined as nodes that turn a cyclic graph or structure into an acyclic one. 

The facilities for experimental work were poor, with inadequate wet laboratory space. In our discussions, I mentioned to Kaprielian my interest in significantly extending my previous work into the area of hydrocarbon chemistry. I felt that by establishing a strong program of basic research and graduate education in hydrocarbon chemistry, USC could become a leader in this important field. Because the memory of the first Arab oil embargo was still fresh, this struck a chord with Kaprielian, who felt that he could sell my research interest to the trustees and establish a Hydrocarbon Research Institute at USC that could accommodate me, as well as other chemistry faculty members whose interests could fit into its framework. 

The most abundant natural steroid is cholesterol. It can be obtained in large quantides from wool fat (15%) or from brain or spinal chord tissues of fat stock (2-4%) by extraction with chlorinated hydrocarbons. Its saturated side-chain can be removed by chromium trioxide oxidation, but the yield of such reactions could never be raised above 8% (see page 118f.). 

Several diameter definitions are used in particle image measurements (Fig. 7). Martin diameter, the chord length which divides the projected particle into two equal areas with respect to a fixed dkection (29) Feret diameter, the projected length with respect to a reference dkection (30) and the diameter of equivalent surface area, the diameter of a ckcle the area of which is equivalent to the projected area of the particle in question (3). 

Irregular Areas Let yQ, yi,. . . , y be the lengths of a series of equally spaced parallel chords and h be their distance apart. The area or the figure is given approximately by any of the following ... 

The peripheral stiffening zone (tray ring) is generally 25 to 50 mm (1 to 2 in) wide and occupies 2 to 5 percent of the cross section, the fraction decreasing with increase in plate diameter. Peripheiy waste (Fig. 14-28) occurs primarily with bubble-cap trays and results from the inabihty to fit the cap layout to the circular form of the plate. Valves and perforations can be located close to the wall and little dead area results. Typical values of the fraction of the total cross-sectional area available for vapor dispersion and contact with the liquid for cross-flow plates with a chord weir equal to 75 percent of the column diameter are given in Table 14-6. 

It is also possible to have a combined wave, which has both gradual and abrupt parts. The general rule for an isothermal, trace system is that in passing from the initial condition to the feed point in the isotherm plane, the slope of the path must not decrease, if it does, then a shock chord is taken for that part of the path. Referring to Fig. 16-19, for a transition from (0,0) to (1,1), the dashes indicate shock parts, which are connected by a simple wave part between points Pi and Pg. 

Horizontal pre.s.sure leaf filters. In these filters the leaves may be rectangular leaves which run parallel to the axis and are of varying sizes since they form chords of the shell or they may be circular or square elements parallel to the head of the shell, and aU of the same dimension. The leaves may be supported in the sheU from an independent rack, individuaUy from the shell, or from a filtrate manifold. Horizontal filters are particiilarly suited to diy-cake discharge. 

In the Lasentec instruments a chord-length distribution is generated, from a rotating infrared beam, and this is converted to a size distribution. Since highly concentrated systems can be interrogated this system can be used for on-hne size analysis. 

Rayleigh line A chord that connects the initial state of a material on its Hugoniot curve to the final state on the curve. Most frequently drawn in the P-F plane. 

The original work by NACA and NASA is the basis on which most modern axial-flow compressors are designed. Under NACA, a large number of blade profiles were tested. The test data on these blade profiles is published. The cascade data conducted by NACA is the most extensive work of its kind. In most commercial axial-flow compressors NACA 65 series blades are used. These blades are usually specified by notation similar to the following 65-(18) 10. This notation means that the blade has a lift coefficient of 1.8, a profile shape 65, and a thickness/chord ratio of 10%. The lift coefficient can be directly related to the blade camber angle by the following relationship for 65 series blades ... 

A number of blade shapes could have been chosen therefore, it was necessary to pick one shape for this study which would be the most representative for casing treatment considerations. Since casing treatment is most effective from an acoustic standpoint in the initial stages of compression, the maximum point of camber was chosen toward the rear of the blade (Z =. 6 chord). This type of blade profile is most commonly used for transonic flow and is usually in the initial stages of compression. 

S-PHcti 0 > ThrMl Width b B Chord Lonflth a > SoVdIty > b/t Sloeger Anota IaM ei d htotol Anal ... 

Characteristic curves. 3 Charles Law, 15 Check valves, 472 Chord, 226 Clearance... 

FIGURE 5.22 Schematic depiction of airflow pattern through the larynx. Note how eddies form downstream as air passes through the tracheal jet created by the vocal cords. This effect varies according to vocal chord position. 

For a row in which the blade length is L, the blade chord is c, the spacing is s and the flow discharge angle is a, the ratio A is given approximately by... 

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