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The starting point is the scaling concept introduced by Cohen-Addad, which reduces the detailed description of the atomic bond-vector motion to that of a larger scaled subchain motion.
The scaling concept was investigated by predicting hourly DO time-series of May to August from different streams representing four distinct US EPA Level III Ecoregions of Minnesota.
The fractal model constructs a flow equation for an incompletely fragmented porous media by describing the geometry and size of the pores using the grain size distribution and setting up a hierarchical scaling concept for fragmentation to eliminate the extra porosity of a completely fragmented fractal porous medium.
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Fractal exponents are then derived from scaling concepts and related to the structure of the aggregate clusters.
Explores scaling concepts; Flory-Huggins theory; polymer blends; network structure and elasticity; diffusion and viscoelasticity; influence of chain architecture and temperature; and molecular theory.
Unified treatment of heat transfer, mass transfer, and fluid mechanics, emphasizing scaling concepts in formulating models and analytical methods for obtaining solutions.
Professor de Gennes bridges this gap by presenting scaling concepts in terms that will be understandable to students in chemistry and engineering as well as in physics.
General applicability of the scaling concepts to a broad range of alternative flaw types, e.g. associated with microstructural defects, is discussed.
Topics include solution thermodynamics, scaling concepts, semiflexibility, characterization of polymer size (light scattering, osmotic pressure, size-exclusion chromatography, intrinsic viscosity), viscoelasticity, rheological measurements, polyelectrolytes, liquid crystals, biopolymers, and gels.
Mirzaei-Paiaman et al. (2013) used the subject solution and scaling concepts to present MPMS index for characterizing wettability of rocks.
The remainder of the paper is organized as follows: the fundamental scaling concepts along with the advantages and drawbacks of horizontal and vertical scaling are explained in Section "Scaling".
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