Velocity as function

Rarefaction waves were also considered by Kistiakowsky Wilson, and it. was shown that in the case of rarefaction no discontinuity can occur and the detonation wave is followed by an advancing rarefaction wave. Tables, constructed by them with.the aid of the eqs 11, 12 8t 13, of the peak values of the temp, pressure, density, and shock wave velocity as functions of the peak value of the particle velocity for shock waves in air. and water are given in Ref 29b... 

In 1914 he published a monumental exptl work on the determination of pressures and velocities as functions of projectile travel for the 3" field artillery gun, which is still of practical value today. Zabudsky was elected a member of the French Academy of Science in 1911 Refs 1) A.D. Blinov, Kurs Artillereii, Voyen-noye Izdatel stvo , Vol 1, Moscow (1948)... 

The design procedure used by Kosters, of Shell Oil Co., who developed this equipment, requires pilot plant measurements on the particular system of HTU and slip velocity as functions of power input. The procedure for scaleup is summarized in Table 14.5, and results of a typical design worked out by Kosters (in Lo et al., 1983, pp. 391-405) are summarized in Example 14.11. Scaleup by this method is said to be reliable in going from 64 mm dia to 4-4.5 m dia. The data of Figure 14.18 are used in this study. 

Figure 6. Burning velocity as function of equivalence ratio and oxygen concentration for propane-oxygen-nitrogen mixtures at 311° K., measured by schlieren total-area burner method (79)...

Thus, the experimental picture of the limit of detonation is essentially unclear. Breton relates any decrease in the velocity as function of diameter to the spin and especially notes that in his experiments with mixtures spin always appeared near the limit so that our calculations cannot be directly applied. 

Figure 2. a. Bubble volume—comparison between numerical model and experiment (yi) (%) numerical calculations b, Bubble velocity as function of equivalent spherical radius—comparison between numerical model and experiment (3%) ( )... 

Figure 9.3.3 Variation of normal (Vy) and radial (Vj.) fluid velocities as functions of y and r.

Figure 11-6. Blow-off flow velocities as function of equivalence ratio at different discharge parameters.

If the areas of the two segments are different, and thus the characteristic impedances are also different, we can solve for the out-going pressures and velocities, as functions of the incoming ones ... 

Figure 4.25 Simulated results for periodic pressure field disturbance [50] (a) mean liquid velocity as function of time for the inline inlet (dashed line) and the perpendicular inlet (solid line). Contour levels of the...

Figure 15. Total, EK and dielectrophoretic contributions to the particle velocities as functions of distance along the longitudinal centerline spanning the leading portion of the post array for the HF (left) and Bosch (right) channels. (See page 7 of color inserts.)...

Before discussing what implications the optimal use of smaller particles has for the column pressure, it is necessary to understand the above-mentioned findings in a more quantitative way. From the derivative of 2.13 to u, we can calculate the position of the curve minimum as a function of dp. This is done in 2.14 and yields an easy approximate relationship to estimate the optimal linear velocity as function of dp. 

Figure S. The rotational velocity as function of the shear rate. The black dots mark the rotational velocity evaluated from the angular momentum, the gray dots Stand for the values inferred from the gyration tensor. The large and small s rmbols are associated with the average of ratios euid with the ratio of averages, respectively.

Figure 4.15 Active layer velocity as function of kiln speed, (a) 41 cm diameter pilot kiln, (b) 1 m diameter rotary drum, and (c) 2.5 m diameter industrial kiln (Boateng, 1998).

Trivisano et al. (18) developed a mathematical model for the pultrusion of epoxy-carbon fiber composites which was applied to the description and optimization of process variables to determine the best set of processing conditions (die temperature and pulling velocity as function of the composite thickness). They concluded that different heating zones must be used in order to improve processing, especially for thick composites. 

Brandenberg SJ, Bellana N, Shantz T (2010) Shear wave velocity as function of standard penetration test resistance and vertical effective stress at California bridge sites. Soil Dyn Earthq Eng 30 1026-1035 Brignoli EG, Gotti M, Stokoe KH (1996) Measurement of shear waves in laboratory specimens by means of piezo-electric transducers. Geotech Test J 19(4) 384-397... 

Figure 8.3 Dynamic- and kinematic-wave velocities as functions of void fraction for the fluidization of alumina particles by air (pp = 1000 kg/m, = 150 and 70 pm).

Figure 10.2 illustrates this behaviour. It shows perturbation-wave velocities, as functions of scaled wavelength Xjdp, for ambient air fluidization of 70 pm alumina particles. This is a system that switches from the stable to the unstable state at a void fraction of approximately 0.52. The figure on the left represents a stable condition, mk < md, at e = 0.44 that on the right an unstable condition, mk > d at e = 0.64. The region over which the perturbation-wave velocity differs appreciably from the limiting values of md or mk is from Xjdp values of about 1 to 100. 

Figure 10.3 Perturbation-wave velocities as functions of wavelength air fluidization of 70 gm alumina.

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