Cylinder, calculation

Diameter of the lower cylinder calculated according to the required drying time 0.5-1.0 h, the hold-up M 10-12 kg, yielding D - 0.2 m ... 

In a separate experiment, a potential difference is applied between the ends of the unloaded cylinder. Calculate the voltage necessary to obtain the same strain as developed previously. Explain why the developed and applied voltages differ. 

Fig. 35 Schematic representation of the uniaxial deformation of a ferrogel cylinder calculated numerically from Eq. 24. The external magnetic field distribution is shown on the left. Gel a is undeformed (B = 0). Gels c and d represent the abrupt transition within a slight increase of the field intensity...

Figure 11.9 Long-term leaching curves of a vitrified waste cylinder calculated according to different kinetic models [initial leach rate 2 X 10 g/(cm day)). (From Ewest[ElJ.)...

Determination of flow rates. Fill a 10-mL graduated cylinder with distilled water, record the volume, and insert the carrier tube in the cylinder. Turn on the pump and simultaneously start a stop watch (or begin timing with a clock). Pump for 5 min, remove the tube, and turn off the pump. Record the volume of water remaining in the cylinder. Calculate the flow rate in milliliters per minute. 

Most calculations of stress in fuel pins are done on the assumption of plane strain with the radial direction as the only spatial variable. Different axial positions are then examined separately to obtain the variation of behavior in the z direction. This appears to be a sensible method of simplifying a system where the length to diameter ratio is typically of the order of 1 200 or more. It is important, however, to check the validity of such assumptions. In the first part of this section the possibility of axial extrusion is explored. Then finite cylinder calculations are examined and the results applied to fuel pellet shape, to cracking induced by thermal stresses, and to swelling. 

To verify the modelling of the data eolleetion process, calculations of SAT 4, in the entrance window of the XRII was compared to measurements of RNR p oj in stored data as function of tube potential. The images object was a steel cylinder 5-mm) with a glass rod 1-mm) as defect. X-ray spectra were filtered with 0.6-mm copper. Tube current and exposure time were varied so that the signal beside the object. So, was kept constant for all tube potentials. Figure 8 shows measured and simulated SNR oproj, where both point out 100 kV as the tube potential that gives a maximum. Due to overestimation of the noise in calculations the maximum in the simulated values are normalised to the maximum in the measured values. Once the model was verified it was used to calculate optimal choice of filter materials and tube potentials, see figure 9. 

Fig. III-3. Comparison of Eq. III-18 (solid line) with experimental results for cyclohexane bridges formed between crossed mica cylinders the dashed line is the calculation including Eq. III-20 (from Ref. 19).

Fig. VI-6. The force between two crossed cylinders coated with mica and carrying adsorbed bilayers of phosphatidylcholine lipids at 22°C. The solid symbols are for 1.2 mM salt while the open circles are for 10.9 roM salt. The solid curves are the DLVO theoretical calculations. The inset shows the effect of the van der Waals force at small separations the Hamaker constant is estimated from this to be 7 1 x 10 erg. In the absence of salt there is no double-layer force and the adhesive force is -1.0 mN/m. (From Ref. 66.)...

Calculate A/Aq of Eq. VI-38 assuming that the mica cylinders are immersed in a dilute aqueous solution at 25°C and taking the parameters to have the indicated typical values. 

I he results of their calculations were summarised in two rules. The first rule states that at least one isomer C with a properly closed p shell (i.e. bonding HOMO, antibonding I. U.MO) exists for all n = 60 - - 6k (k = 0,2,3,..., but not 1). Thus Qg, C72, Cyg, etc., are in lhi-< group. The second rule is for carbon cylinders and states that a closed-shell structure is lound for n = 2p(7 - - 3fc) (for all k). C70 is the parent of this family. The calculations Were extended to cover different types of structure and fullerenes doped with metals. 

An essential feature is the involvement of 6A, the additional area of multilayer exposed during the particular step as the group of pores loses its capillary condensate. 5A is calculated from the volume and radius of the group, using the geometry of the cylinder (column 15). The total area of multilayer which is thinned down during any step is obtained by summing the SA contributions in all the lines above the line of the step itself (column 16). 

As would be expected, the enhancement of potential in cylindrical pores turns out to be considerably greater than in dits, as curve (ii) of Fig. 4.9 clearly demonstrates. At R/r = 2 the enhancement is more than 50 per cent, and it is still appreciable when R/r = 3 (R = radius of cylinder). The calculations show that at radii in excess of R = 1086ro, the single minimum (comparable with Fig. 4.8(c)) develops into a ring minimum (i.e. two minima are present in any axial plane, cf. Fig. 4.8(a)). 

Calculate the molar concentration of NaCl, to the correct number of significant figures, if 1.917 g of NaCl is placed in a beaker and dissolved in 50 mF of water measured with a graduated cylinder. This solution is quantitatively transferred to a 250-mF volumetric flask and diluted to volume. Calculate the concentration of this second solution to the correct number of significant figures. 

A standard solution of Mn + was prepared by dissolving 0.250 g of Mn in 10 ml of concentrated HNO3 (measured with a graduated cylinder). The resulting solution was quantitatively transferred to a 100-mL volumetric flask and diluted to volume with distilled water. A 10-mL aliquot of the solution was pipeted into a 500-mL volumetric flask and diluted to volume, (a) Express the concentration of Mn in parts per million, and estimate uncertainty by a propagation of uncertainty calculation, (b) Would the uncertainty in the solution s concentration be improved... 

Calculate the sample s volume by measuring the amount of water that it displaces. This can be done by adding water to a graduated cylinder, reading the volume, adding the object, and reading the new volume. The difference in volumes is equal to the object s volume. 

Since the injected sample plug is cylindrical, its length, /plug, is easily calculated using the equation for the volume of a cylinder. 

If it is assumed that uniform tensile stress, like uniform compressive stress (7), has no significant effect on yield, then the yield pressure of a cylinder subjected solely to an internal pressure may be calculated from... 

The residual shear stress distribution in the assembled cylinders, prior to the appHcation of internal pressure, may be calculated, from pressure P, generated across the interface. The resulting shear stress distribution in the compound cylinder, when subjected to an internal pressure may be calculated from the sum of the residual stress distribution and that which would have been generated elastically in a simple cylinder of the same overall radius ratio as that of the compound cylinder. 

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