Archimedean number

ATsijs Archimedean number calculated by average radius of particles ... 

With a more complex approach that takes into account the actual viscosity of the slur ry mixture and the density of the particles. Gillies et al, (1999) developed an equation for the Froude number Fin terms of the Archimedean number (which we wUl discuss in Sec tion 4-4-5 for stratified coarse flows) ... 

To estimate the deposition velocity Vj, Gilles et al, (1999) developed an equation for the Froude number based on the Archimedean number ... 

Table 4-3 presents values of the Archimedean number, the resultant magnitude of the factor Fi for particles in the range of 0.08 to 50 mm for a specific gravity of 1.5, which is typical of coal-based mixtures. Most coals may be pumped with different sizes of particles as discussed in Chapter 11. The viscosity may be due to the presence of cer-... 

Archimedean number Ar Fl Archimedean number Ar Fl Archimedean number Ar Fl... 

Fig. 9.9 The 13 Archimedean solids, in order of increasing number of vertices. Truncated tetrahedron (1), Cuboctahedron (2), Truncated cube (3), Truncated octahedron (4), Rhombicubocta-hedron (5), Snub cube (6), Icosidodecahedron (7),...

Buckminsterfullerene, an allotrope of carbon, is topologically equivalent to a truncated icosahedron, an Archimedean solid that possesses 12 pentagons and 20 hexagons (Fig. 9-16). [17] Each carbon atom of this fullerene corresponds to a vertex of the polyhedron. As a result, C6o is held together by 90 covalent bonds, the number of edges of the solid. 

S. Sarkar, S. Q. N. Shah et ah, Archimedean Synthesis and Magic Numbers Sizing Giant Molybdenum-Oxide-Based Molecular Spheres of the Keplerate Type, Angew. Chem. Int. Ed. En. 1999, 38, 3238-3241 ... 

Rajtmajer et al.291 calculated the total numbers of paths and trails using their own computer program. They obtained the following ordering of the Archimedean solids by the four complexity indices ... 

FIG. 3.3. Polyhedra (a) the regular solids, (b) some Archimedean semi-regular solids, (c) some Catalan semi-regular solids. (The numbers are the numbers of vertices.)... 

Polyhedra related to the pentagonal dodecahedron and icosahedron In equation (1) for 3-connected polyhedra (p. 62) the coefficient of is zero, suggesting that polyhedra might be formed from simpler 3-connected polyhedra by adding any arbitrary number of 6-gon faces. Although such polyhedra would be consistent with equation (1) it does not follow that it is possible to construct them. The fact that a set of faces is consistent with one of the equations derived from Euler s relation does not necessarily mean that the corresponding convex polyhedron can be made. Three of the Archimedean solids are related in this way to three of the regular solids ... 

A. Muller, S. Sarkar, S.Q.N. Shah, H. Bogge, M. Schmidtmann, Sh. Sarkar, P. Kogerler, B. Hauptfleisch, A.X. Trautwein, and V. Schiinemann, Archimedean synthesis and magic numbers "sizing" giant molybdenum-oxide-based molecular spheres ofthe keplerate type, Angew. Chem., Int. Ed. 38 3238 (1999). 

X. Trautwein, V. Schunemann, Archimedean synthesis and magic numbers. Sizing giant molybdenum-oxide-based molecular spheres of the keplerate type, Angew. Chem. Int. Ed. 38 3238... 

There are a number of machines that do not utilize Archimedean screw for transport of the material, but still fall within the category of continuous extruders. Sometimes these machines are referred to as screwless extruders or elastic melt extruder. These machines employ disks or drums to melt, mix, pump, and extrude the material and are based on viscous drag transport principle. They are not widely used in industry as forming machines, and will not be discussed here. 

The Spiral configuration is the more realistic one in terms of telescope motion, and it recreates a variation of an Archimedean spiral. The simulator first calculates the number of turns of the spiral, Nturns = (bmax - bmin)/bstep- The user also defines the number of baselines to be created, Nb. The baseline vector is then created in polar coordinates as... 

Fig. 4.2 Weight (including Archimedean force) of the cathode with the deposit vs. time in course of germanium electrodeposition from KF-NaF-K2GeFs-Ge02 melts at 750 °C in galvanostatic conditions. Dashed straight line corresponds to the deposition of pure germanium with 100 % Faradaic efficiency [8]. The numbers indicate the ratio of Ge02 to K2GeFs in the electrolyte...

Table 1 The number of vertices, edges, and faces in Platonic and Archimedean solids.

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