CONICAL SURFACE

semi angle defines the semi vertical angle of the cone measured in the valid angle unit with 0 semi angle it/2 for a valid definition. 

point is any point on the axis from which the cone has the specified radius. In particular, for radius=0 the point becomes the vertex of the cone. 

reference point is used to define the parameterisation and should lie approximately on the plane through point normal to a. 

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Substitution for Fe has a drastic effect on intrinsic magnetic properties. Partial substitution by or decreases J) without affecting seriously, resulting in larger and values. Substitution by Ti and Co causes a considerable decrease in K , the uniaxial anisotropy (if j > 0) may even change into planar anisotropy (if < 0). Intermediate magnetic stmctures are also possible. For example, preferred directions on a conical surface around the i -axis are observed for substitution (72). For a few substitutions the value is increased whereas the J) value is hardly affected, eg, substitution of Fe byRu (73) or by Fe compensated by at Ba-sites (65). 

V-clamp joints (Fig. 10-140) are attached to the pipe by butt-weld or expanded joints. Theoretically, there is only one relative position of the parts in which the conical surfaces of the clamp are completely in contac t with the conical surfaces of the stub ends. In actual practice, there is considerable flexing of the stub ends and the clamp also complete contact is not required. This permits use of elastomeric gaskets... 

Kegel, m. cone bevel, taper pin, skittle. Kegel-, conical, -brenner, m. cone burner, -flache, /. conical surface, -flaschei /. conical flask (as an Erlenmeyer flask). kegelfdrmig, a. cone-shaped, conical, coniform, tapered. 

Telescope Mirror Supports Plate Deflections on Point Supports. Nelson, J., Lubliner, J., Mast, T., 1982, SPIE 332, 212 Off-axis Expansions of Conic Surfaces. Nelson, J., Temple-Raston, M., 1982, Keck Report 91... 

Illustration Satellite formation in capillary breakup. The distribution of drops produced upon disintegration of a thread at rest is a unique function of the viscosity ratio. Tjahjadi et al. (1992) showed through inspection of experiments and numerical simulations that up to 19 satellite drops between the two larger mother drops could be formed. The number of satellite drops decreased as the viscosity ratio was increased. In low-viscosity systems p < 0(0.1)] the breakup mechanism is self-repeating Every pinch-off results in the formation of a rounded surface and a conical one the conical surface then becomes bulbous and a neck forms near the end, which again pinches off and the process repeats (Fig. 21). There is excellent agreement between numerical simulations and the experimental results (Fig. 21). 

A conical pile discharge (Figure 7-9) is a form of a brush-type discharge that occurs at the conical surface of a pile of powder.5 The necessary conditions for this discharge are (1) a pow-... 

Fig. 5.20 Illustration of a check-valve system, where an upward flowing fluid must pass through the narrow gap formed by an outer conical tube wall and the conical surface of a movable flow obstruction.

It was shown in Section III that both these characteristics are determined by the mean inverse period of i9(cp) function, which we denote In our model, only librators perform reflections from conical surface. Correspondingly, the inverse period of i9(cp) function is found by averaging over librational phase volume I ... 

A simplified version of this model, termed the hybrid model (VIG, p. 305) [32-34, 39] (see also Section IV.E) was proposed for the case of a small cone angle p. In this model the rotators move freely over the barrier U0 as if they do not notice the conical surface the librators move in the diametric sections of a cone—that is, they librate. The hybrid model was widely used for investigation of dielectric relaxation in a number of nonassociated and associated liquids, including aqueous electrolyte solutions (VIG, p. 553) [53, 54]. The hat model was recently applied to a nonassociated liquid [3] and to water [7, 12c]. 

The secondary collimator ensures that only constant angle scatter reaches the detector. As indicated in Fig. 21, it consists of a series of thin lamella that are conical surfaces of resolution around the Z axis. Each of these has a surface area of 0.25 m2 and requires stabilization using a low-density foam filling and/or radial ribs positioned at regular intervals in the sense. The scatter detector and collimator shown in Fig. 21 can be replicated on both sides of the XY plane for increased signal and reduced attenuation artefacts. 

Cartesian x, y, z) coordinates (see Table 2-3). In addition, the regions where the wave function is positive and where it is negative can be found. This information will be useful in working with molecular orbitals in later chapters. There are / angular nodes in any orbital, with the conical surface in the and similar orbitals counted as two nodes. 

We can picture J1 and J2 as cones around their resultant J, which is itself represented by a conical surface about some axis in space, as shown in Fig. 6.8. According to quantum theory, each component of angular momentum, as well as their resultant, has a magnitude given by VJtT+l) h with J having possible values 0, 5-2. .., nowincluding the possibility of spinscontributingmultiples... 

A contour plot is shown in Fig. 7.9. This function is also cylindrically symmetric about the z-axis with two angular nodes—conical surfaces with 3z — r = 0. The remaining four 3d orbitals are complex functions containing the spherical harmonics Y2.t and Y2 2 pictiiied in Fig. 6.4. We can again construct real... 

With the annular cone there is no comparable error since the whole of the torque is developed over the conical surface bounded by radii at and a-2- Consequently there is no limitation to the value of a2, and the gap width can be comparatively large. As ai/a2 approaches unity the system approximates to a ring and plate configuration. The condition of uniform shear rate is maintained and the total torque t developed over the conical surface is given by... 

In comparison, the estimated time spent on the conical surface prior to this can be estimated from the following equation, which is a modified version of Eq. (26) ... 

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