Geometric irregularity

Scott P. 2005. Geometric irregularities common to the dissolution vessel. Dissolution Technol. 12 18-21. 

Avnir, D., Farin, D., and Pfeifer, P., Surface geometric irregularity of particulate materials, Journal of Colloid and Interface Science, Vol. 103, 1985, pp. 112-123. 

Avnir, D., D. Farin, and P. Pfeifer. 1985. Surface geometric irregularity of particulate materials The fractal approach. J. Coll. Interface Sci. 103 112-123. 

An advantage of luminescence spectroscopy, as with all emission systems, is flexibility of geometry of the sample that permits front surface viewing. That is, opaque or geometrically irregular specimens may be sampled directly (28). 

In geometrically irregular conduits a more complicated behaviour must be expected, although the general line will be the same. Fig. 6 shows an exaraple[9] of the dispersion outside the column in a well designed chromatograph, including all the effects described by eqn. 12. It can be seen that the volume standard deviation indeed approaches the value [(Vp + 7 ) / 12]. ... 

In a planar cell configuration the connection between the interconnect and the cathode material is frequently achieved by using a contact layer which compensates geometrical irregularities of the cathode and/or... 

Perturbation theory for detector response in inhomogeneous systems provides the foundation for efficient and interesting methods for the solution of deep-penetration problems characterized by a large source-detector distance and a localized geometrical irregularity. 

Expressions (173) and (174) provide efficient formulations for the solution of deep-penetration problems whose geometrical irregularity is in the vicinity of the detector. The unperturbed flux distribution is calculated with a low-order, low-dimensional calculational method (such as a one-dimensional discrete-ordinates method). The irregularity in the geometry is treated as an alteration to the unperturbed system. The 5 or distribution is then obtained from the solution of Eq. (44a) or Eq. (163), respectively, for the local region of the detector and the alteration. High-order and multidimensional calculational methods (such as Monte Carlo) can be used for this local solution. Equation (173) provides an efficient formulation for the calculation of the response of many different detectors (such as different reaction rates and the spatial distribution of a given reaction rate) in a... 

Expressions (176) and (177) provide the basis for the adjoint-difference method for the solution of deep-penetration problems. These are efficient methods for deep-penetration problems whose geometrical irregularity is in the vicinity of the source. Equation (176) is an efficient formulation for calculating the response of a given detector to different sources (or the contribution of different components of a given source). Conversely, the adjoint-difference approximation. 

The radiation from the sun is in general aligned vertically to the surface of the sun. With very good approximation, on earth it can be seen as parallel radiation. Through diffusion and deflection this parallel radiation is diverted by the geometrical irregularities of the earth s surface, so that there the so-called diffuse fractions are detectable, whose direction is spread statistically. The diffuse fractions also depend on the season and the geometrical position of the place of impact on the earth s surface, on the width, and so on. 

Boundary conditions of both the horizontal and vertical contacting surfaces, as shown in Fig. 6.15, have been mathematically described with the assumption that aU contact conductances are kept to be constant [4]. It is well known that the temperature and the electrical potentials are continuous functions across a perfect interface. Practically, it is difficult to have perfect contact when two real surfaces are considered, due to the geometrical irregularities and surface deposits. Therefore, in a real system, both temperature and electric potentials are discontinuous instead. In other words, a finite temperature (A0) or voltage difference (A(p) should be considered at the interface, as shown in Fig. 6.16, where the thermal flux and electric current density across it can be expressed as ... 

Sokolowska, Z., Patrykiejew, A. and Sokolowski, S. (1989). The liactal dimension of geometrically irregular solid surfaces the role of attractive molecule-surface interactions. Langmuir, 5, 938-941. 

Zhang Y, Wang X, Pan N, Postle R (2002) Weibull analysis of the tensile behavior of fibers with geometrical irregularities. J Mater Sci 37(7) 1401-1406... 

In addition to the 5 Platonic solids and 26 Archimedean polyhedra and their duals, there are only 92 other convex polyhedra whose faces are entirely composed of regular polygons—generally not all of the same kind. These objects are geometrically irregular or nonuniform in the sense that there are no symmetry operations that transform a particular... 

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