We used three-dimensional (3-D) images of snow microstructure to carry out numerical estimations of the full tensor of the intrinsic permeability of snow (K). This study was performed on 35 snow samples, spanning a wide range of seasonal snow types. For several snow samples, a significant anisotropy of permeability was detected and is consistent with that observed for the effective thermal cond...

Abstract. Viscous flow, effusion, and thermal transpiration are the main gas transport modalities for a rarefied gas in a macro-porous medium. They have been well quantified only in the case of simple geometries. This paper presents a numerical method based on the homogenization of kinetic equations producing effective transport properties (permeability, Knudsen diffusivity, thermal transpirati...

We introduce Banach algebras arising from tensor norms. By these Banach algebras we make Arensregular Banach algebras such that tensor product becomes irregular, where is tensor norm. Weillustrate injective tensor product, does not preserve bounded approximate identity and it is notalgebra norm.

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This paper reports parts of recent simulation results [1] carried out in order to illustrate a rather theoretical and somewhat non intuitive property of the viscous permeability tensor in porous media: considering periodic porous structures in the long wavelength limit, even if the structure is anisotropic, its acoustical properties will remain isotropic, i.e. : the velocity fields are qualitat...

In this paper, we calculate the relativistic bulk tensor and shear tensor of the relativistic accretion ows in the Kerr metric, overall and without any approximation. We obtain the relations of all components of the relativistic bulk and shear tensor in terms of components of four-velocity and its derivatives, Christoffel symbols and metric components in the BLF. Then, these components are deri...

"Scattering equations" are derived which relate the spectrum of the light scattered from a polyatomic fluid to the spectral functions of the fluctuating spherical (scalar) and anisotropic parts of the electric permeability tensor. The influence of a constant external (electric or magnetic) field is considered. For a gas of linear molecules, it is shown that the fluctuations leading to the depol...

In this paper, we study the tensor commutativity degree of pair of finite groups. Erdos introduced the relative commutativity degree and studied its properties. Then, Mr. Niroomand introduced the tensor relative commutativity degree, calculated tensor relative degree for some groups, and studied its properties. Also, he explained its relation with relative commutativity degree. In this paper, w...

Anisotropy of the permeability tensor in statistically uniform porous media of sizes used in typical computer simulations is studied. Although such systems are assumed to be isotropic by default, we show that de facto their anisotropic permeability can give rise to significant changes of transport parameters such as permeability and tortuosity. The main parameter controlling the anisotropy is a...

A short review of modern techniques for broadband microwave measuring complex permittivity and permeability of materials at broadband microwave frequencies has been presented. Classification of type of the measurement methods to extract the complex permittivity and permeability of bulk materials has been done in this paper. Mathematical models of all the above-mentioned measurement types of met...