in this work, sio2 –zro2 mixed oxides was prepared by the polymeric sol–gel route. the characterization of pore structure, which determines the permeation process of membrane, is of great importance. so far, most investigations have focused on such pore structure as specific surface area and pore size distribution, but the surface fractal, the important parameter reflecting the roughness of por...

this work presents a model for calculating the effective ‎thermal conductivity of nanofluids. the proposed model ‎includes the effects of nanoparticles and thermal conductivity ‎base fluid.we will focus on experimental of the volume ‎concentration parameter and temperature on thermal ‎conductivity, nano-fluid combination and multi-walled ‎carbon nanotubes-oxide / copper-paid deionized water. th...

An adaptation process in the transportation network of Physarum plasmodium was investigated by measuring oxygen consumption during network formation. Simultaneously, the fractal dimension as a measure of network structure was estimated. Oxygen consumption decreased during the development of the network, whereas the network structure changed from a thin mesh-type to a thick dendritic type. Our d...

We use the fractional integrals to describe fractal solid. We suggest to consider the fractal solid as special (fractional) continuous medium. We replace the fractal solid with fractal mass dimension by some continuous model that is described by fractional integrals. The fractional integrals are considered as approximation of the integrals on fractals. We derive fractional generalization of the...

The paper presents a novel hydraulic fracturing model for the characterization and simulation of the complex fracture network in shale gas reservoirs. We go beyond the existing method that uses planar or orthogonal conjugate fractures for representing the ‘‘complexity’’ of the network. Bifurcation of fractures is performed utilizing the Lindenmayer system based on fractal geometry to describe t...

This work proposes to obtain novel fractal descriptors from gray-level texture images by combining information from interior and boundary measures of the Minkowski dilation applied to the texture surface. At first, the image is converted into a surface where the height of each point is the gray intensity of the respective pixel in that position in the image. Thus, this surface is morphologicall...

With the increase of particulate pollution in atmosphere, it becomes extremely significant to understand overall distribution characteristics particulates and their adsorption toxic gases for source analysis precise controlling atmospheric matters. The fractal theory was adopted analyze particle sizes Xi?an city, China. Results showed dimension matters ranged from 4.32-4.83, with an average 4.5...

GIS is considered an important technique as well as a prerequisite for cost effective mineral exploration and determination of high potential areas. The purpose of this research is to determine high potential iron zones for detailed exploration using index overlay GIS method. Index Overlay was used to combine the geology, topography (scale: 1:1,000), lineaments, remote sensing (ASTER and ETM+) ...

Today Fractal geometry is completely new area of research in the field of computer science and engineering. It has wide range of applications. Fractals in nature are so complicated and irregular that it is hopeless to model them by simply using classical geometry objects. Benoit Mandelbrot, the father of fractal geometry, from his book The Fractal Geometry of Nature, 1982. This paper explor var...

black bengal goat is the heritage and one of the potential genetic resources of bangladesh. genetic and phenotypic parameters for semen characteristics and their relationships with scrotal circumference in black bengal bucks were estimated in this experiment. genetic parameters were estimated by residual maximum likelihood procedure, fitting an animal model ignoring maternal genetic or permanen...