Theoretical and numerical analyses of convective instability in porous media with upward throughflow

Exact analytical solutions have been obtained for a hydrothermal system consisting of a horizontal porous layer with upward throughflow. The boundary conditions considered are constant temperature, constant pressure at the top, and constant vertical temperature gradient, constant Darcy velocity at the bottom of the layer. After deriving the exact analytical solutions, we examine the stability of the solutions using linear stability theory and the Galerkin method. It has been found that the exact solutions for such a hydrothermal system become unstable when the Rayleigh number of the system is equal to or greater than the corresponding critical Rayleigh number. For small and moderate Peclet numbers (Pe less than or equal to 6), an increase in upward throughflow destabilizes the convective flow in the horizontal layer. To confirm these findings, the finite element method with the progressive asymptotic approach procedure is used to compute the convective cells in such a hydrothermal system. Copyright (C) 1999 John Wiley & Sons, Ltd.

Theoretical and numerical analyses of convective instability in porous media with temperature-dependent viscosity

Exact analytical solutions of the critical Rayleigh numbers have been obtained for a hydrothermal system consisting of a horizontal porous layer with temperature-dependent viscosity. The boundary conditions considered are constant temperature and zero vertical Darcy velocity at both the top and bottom of the layer. Not only can the derived analytical solutions be readily used to examine the effect of the temperature-dependent viscosity on the temperature-gradient driven convective flow, but also they can be used to validate the numerical methods such as the finite-element method and finite-difference method for dealing with the same kind of problem. The related analytical and numerical results demonstrated that the temperature-dependent viscosity destabilizes the temperature-gradient driven convective flow and therefore, may affect the ore body formation and mineralization in the upper crust of the Earth. Copyright (C) 2003 John Wiley Sons, Ltd.

Cloud base height and cosmic rays

Cosmic rays modify current flow in the global atmospheric electrical circuit. Charging at horizontal layer cloud edges has been observed to be consistent with global circuit vertical current flow through the cloud, which can modify the properties of small and pure water droplets. Studies have been hampered by the absence of cloud edge observations, hence cloud base height information is investigated here. Cloud base height measured at the Lerwick Observatory, Shetland, UK, is analysed using threshold tests and spectral analysis. The cloud base height distributions for low cloud (cloud base less than 800 m) are found to vary with cosmic ray conditions. Further, 27 day and 1.68 year periodicities characteristic of cosmic ray variations are present, weakly, in the cloud base height data of stratiform clouds, when such periodicities are present in neutron monitor cosmic ray data. These features support the idea of propagation of heliospheric variability into layer clouds, through the global atmospheric electric circuit.

Região do espaço que mais influencia em medidas eletromagnéticas no domínio da frequência: caso de uma linha de corrente sobre um semi-espaço condutor

Localizar em subsuperfície a região que mais influencia nas medidas obtidas na superfície da Terra é um problema de grande relevância em qualquer área da Geofísica. Neste trabalho, é feito um estudo sobre a localização dessa região, denominada aqui zona principal, para métodos eletromagnéticos no domínio da freqüência, utilizando-se como fonte uma linha de corrente na superfície de um semi-espaço condutor. No modelo estudado, tem-se, no interior desse semi-espaço, uma heterogeneidade na forma de camada infinita, ou de prisma com seção reta quadrada e comprimento infinito, na direção da linha de corrente. A diferença entre a medida obtida sobre o semi-espaço contendo a heterogeneidade e aquela obtida sobre o semi-espaço homogêneo, depende, entre outros parâmetros, da localização da heterogeneidade em relação ao sistema transmissor-receptor. Portanto, mantidos constantes os demais parâmetros, existirá uma posição da heterogeneidade em que sua influência é máxima nas medidas obtidas. Como esta posição é dependente do contraste de condutividade, das dimensões da heterogeneidade e da freqüência da corrente no transmissor, fica caracterizada uma região e não apenas uma única posição em que a heterogeneidade produzirá a máxima influência nas medidas. Esta região foi denominada zona principal. Identificada a zona principal, torna-se possível localizar com precisão os corpos que, em subsuperfície, provocam as anomalias observadas. Trata-se geralmente de corpos condutores de interesse para algum fim determinado. A localização desses corpos na prospecção, além de facilitar a exploração, reduz os custos de produção. Para localizar a zona principal, foi definida uma função Detetabilidade (∆), capaz de medir a influência da heterogeneidade nas medidas. A função ∆ foi calculada para amplitude e fase das componentes tangencial (H_x) e normal (H_z) à superfície terrestre do campo magnético medido no receptor. Estudando os extremos da função ∆ sob variações de condutividade, tamanho e profundidade da heterogeneidade, em modelos unidimensionais e bidimensionais, foram obtidas as dimensões da zona principal, tanto lateralmente como em profundidade. Os campos eletromagnéticos em modelos unidimensionais foram obtidos de uma forma híbrida, resolvendo numericamente as integrais obtidas da formulação analítica. Para modelos bidimensionais, a solução foi obtida através da técnica de elementos finitos. Os valores máximos da função ∆, calculada para amplitude de H_x, mostraram-se os mais indicados para localizar a zona principal. A localização feita através desta grandeza apresentou-se mais estável do que através das demais, sob variação das propriedades físicas e dimensões geométricas, tanto dos modelos unidimensionais como dos bidimensionais. No caso da heterogeneidade condutora ser uma camada horizontal infinita (caso 1D), a profundidade do plano central dessa camada vem dada pela relação p_o = 0,17 δ_o, onde p_o é essa profundidade e δ_o o "skin depth" da onda plana (em um meio homogêneo de condutividade igual à do meio encaixante (σ₁) e a freqüência dada pelo valor de w em que ocorre o máximo de ∆ calculada para a amplitude de H_x). No caso de uma heterogeneidade bidimensional (caso 2D), as coordenadas do eixo central da zona principal vem dadas por d_o = 0,77 r₀ (sendo d_o a distância horizontal do eixo à fonte transmissora) e p_o = 0,36 δ_o (sendo p_o a profundidade do eixo central da zona principal), onde r₀ é a distância transmissor-receptor e δ_o o "skin depth" da onda plana, nas mesmas condições já estipuladas no caso 1D. Conhecendo-se os valores de r₀ e δ_o para os quais ocorre o máximo de ∆, calculado para a amplitude de H_x, pode-se determinar (d_o, p_o). Para localizar a zona principal (ou, equivalentemente, uma zona condutora anômala em subsuperfície), sugere-se um método que consiste em associar cada valor da função ∆ da amplitude de H_x a um ponto (d, p), gerado através das relações d = 0,77 r e p = 0,36 δ, para cada w, em todo o espectro de freqüências das medidas, em um dado conjunto de configurações transmissor-receptor. São, então, traçadas curvas de contorno com os isovalores de ∆ que vão convergir, na medida em que o valor de ∆ se aproxima do máximo, sobre a localização e as dimensões geométricas aproximadas da heterogeneidade (zona principal).

MEMLS3&a: Microwave Emission Model of Layered Snowpacks adapted to include backscattering

The Microwave Emission Model of Layered Snowpacks (MEMLS) was originally developed for microwave emissions of snowpacks in the frequency range 5–100 GHz. It is based on six-flux theory to describe radiative transfer in snow including absorption, multiple volume scattering, radiation trapping due to internal reflection and a combination of coherent and incoherent superposition of reflections between horizontal layer interfaces. Here we introduce MEMLS3&a, an extension of MEMLS, which includes a backscatter model for active microwave remote sensing of snow. The reflectivity is decomposed into diffuse and specular components. Slight undulations of the snow surface are taken into account. The treatment of like- and cross-polarization is accomplished by an empirical splitting parameter q. MEMLS3&a (as well as MEMLS) is set up in a way that snow input parameters can be derived by objective measurement methods which avoid fitting procedures of the scattering efficiency of snow, required by several other models. For the validation of the model we have used a combination of active and passive measurements from the NoSREx (Nordic Snow Radar Experiment) campaign in Sodankylä, Finland. We find a reasonable agreement between the measurements and simulations, subject to uncertainties in hitherto unmeasured input parameters of the backscatter model. The model is written in Matlab and the code is publicly available for download through the following website: http://www.iapmw.unibe.ch/research/projects/snowtools/memls.html.

Pattern competition in homogeneously heated fluid layers

Simulations examining pattern competition have been performed on a horizontal homogeneously heated layer that is bounded by an isothermal plane above an adiabatic plane. Several different circulation patterns arose as the heating regime applied to the horizontal layer was modified. The sequence of the patterns formed as the Grashof number was increased had the following order: laminar, z-axis rolls, squares, hexagons and pentagons, pentagons and then two different square modes of differing orientations. Fourier analysis was used to determine how the key modes interact in the presence of different patterns.

Pattern formation in volumetrically heated fluids

Finite element simulations have been performed along side normal mode analysis on the linear stability that examined the development of volumetrically heated flow patterns in a horizontal layer controlled by the Prandtl number, Pr, and the Grashof number, Gr. The fluid was bounded by an isothermal plane above an adiabatic plane. In the simulations performed here, a number of convective polygonal planforms occurred, as Gr increased above the critical Grashof number, Grc at Pr = 7, while roll structures were observed for Pr < 1 at 2Grc.

Pattern competition in homogeneously heated fluid layers

Simulations examining pattern competition have been performed on a horizontal homogeneously heated layer that is bounded by an isothermal plane above an adiabatic plane. Several different circulation patterns arose as the heating regime applied to the horizontal layer was modified. The sequence of the patterns formed as the Grashof number was increased had the following order: laminar layer, rolls, squares, hexagons and pentagons, and then two square modes of differing orientations. Fourier analysis was used to determine how the key modes interact with each pattern.

Pattern competition in volumetricaly heated fluids

Finite element simulations have been performed along side Galerkin-type calculations that examined the development of volumetrically heated flow patterns in a horizontal layer controlled by the Prandtl number, Pr, and the Grashof number, Gr. The fluid was bounded by an isothermal plane above an adiabatic plane. In the simulations performed here, a number of convective polygonal planforms occurred, as Gr increased above the critical Grashof number, Grc at Pr = 7, while roll structures were observed for Pr < 1 at 2Grc.

Studies on the Vertical Structure of Horizontal Wind Variability in the Surface Boundary Layer Over Sriharikota

The present study on the vertical structure of horizontal wind variability in the surface boundary layer over Sriharikota. Based on clock wind speed and direction measuring meteorological tower facility from seven levels in the 100 m layer. The study on wind variability and elliptical approximation of wind hodographs investigated for this tropical coastal station established that Sriharikota is of meso-scale weather entity. Wind variability ratio increases from lower levels to upper levels. In South West monsoon months the station is of high ratio values and it gets affected with meso-scale weather features like thunderstorms. Average total shears are observed greater values than scalar shears. Scalar shears are high in the lowest shear levels compared to upper levels. Semi diurnal types of oscillation in average total shears are found in south west monsoon months. During cyclonic storm passage it is observed that there can be significant difference in mean wind speed from 10 m to 100 m level, but it is not so for peak wind speeds. The variations in wind variability ratio in different months is clearly depicted its strong link to define meso-scale or synoptic –scale forcing domination for this station. Meso-scale forcing is characterized by diurnal wind variability and synoptic- scale forcing by interdiurnal wind variability.

The type-A horizontal cell: GABAergic characteristics and role in development of the outer plexiform layer

Morphological analysis of neonatal rabbit retina suggests that the type-A horizontal cell acts as the pioneer cell for development of the OPL. It is the first mature element of the OPL, and it forms the infrastructure upon which the OPL accrues. The role of type-A horizontal cells in influencing postnatal development of the OPL was examined.^ GABAergic characteristics of the type-A horizontal cell were defined. The type-A horizontal cell was found to possess two more GABAergic characteristics in addition to those previously demonstrated, during a short period in early postnatal development: endogenous stores of GABA and the GABA precursor, glutamate. Lesioning the type-A horizontal cell resulted in their permanent loss in addition to the disappearance of cone terminals and a dramatic increase in rod terminals within the OPL. Thus the type-A cells are not a necessary prerequisite for positioning the OPL in postnatal development, but may be necessary for establishment of the normal photoreceptor mosaic.^ Since type-A horizontal cells possess a number of GABAergic qualities during the period of cone photoreceptor cell differentiation, and there are reports of GABA's trophic action in other developing neuronal systems; the role that GABAergic type-A horizontal cells play in directing photoreceptor differentiation was examined.^ Disrupting effects of GABA-A receptor antagonists indicate that type-A horizontal cells act as postsynaptic targets for the growing cone terminals of photoreceptor cells. These trophic or synaptic interactions may involve GABA-A receptors activated by GABA released from horizontal cells. These findings are consistent with the hypothesis that type-A horizontal cells act as pioneering cells in directing the postnatal development of the OPL.^ These studies offer an in depth analysis of the structural and chemical relationship between type-A horizontal cells and other elements of the OPL from which the roles of type-A horizontal cells and the GABA system in development can be defined. They contribute to our knowledge of both structural and GABAergic mechanisms involved in central nervous system development. ^

Asymptotic theory of wall-attached convection in a horizontal fluid layer with a vertical magnetic field

A horizontal fluid layer heated from below in the presence of a vertical magnetic field is considered. A simple asymptotic analysis is presented which demonstrates that a convection mode attached to the side walls of the layer sets in at Rayleigh numbers much below those required for the onset of convection in the bulk of the layer. The analysis complements an earlier analysis by Houchens [J. Fluid Mech. 469, 189 (2002)] which derived expressions for the critical Rayleigh number for the onset of convection in a vertical cylinder with an axial magnetic field in the cases of two aspect ratios. © 2008 American Institute of Physics.

Adhesively-bonded repair proposal for wood members damaged by horizontal shear using carbon-epoxy patches

In this work, a repair technique with adhesively bonded carbon-epoxy patches is proposed for wood members damaged by horizontal shear and under bending loads. This damage is characterized by horizontal crack growth near the neutral plane of the wood beam, normally originating from checks and shakes. The repair consists of adhesively bonded carbon-epoxy patches on the vertical side faces of the beam at the cracked region to block sliding between the beam arms. An experimental and numerical parametric analysis was performed on the patch length. The numerical analysis used the finite element method (FEM) and cohesive zone models (CZMs), with an inverse modelling technique for the characterization of the adhesive layer. Trapezoidal cohesive laws in each pure mode were used to account for the ductility of the adhesive used. To fully reproduce the tests, horizontal damage propagation within the wood beam was also simulated. A good correlation with the experiments was found. Regarding the effectiveness of the repair, for the conditions selected for this work, a full strength recovery was achieved for the bigger value of patch length tested.

Fingerlike aggregates in thin-layer electrodeposition

Electrodeposition experiments conducted in a thin-layer horizontal cell containing a nonbinary aqueous electrolyte prepared with cupric sulfate and sodium sulfate gave rise to fingerlike deposits, a novel and unexpected growth mode in this context. Both the leading instability from which fingers emerge and some distinctive features of their steady evolution are interpreted in terms of a simple model based on the existing theory of fingering in fluids.

Fingerlike aggregates in thin-layer electrodeposition

Electrodeposition experiments conducted in a thin-layer horizontal cell containing a nonbinary aqueous electrolyte prepared with cupric sulfate and sodium sulfate gave rise to fingerlike deposits, a novel and unexpected growth mode in this context. Both the leading instability from which fingers emerge and some distinctive features of their steady evolution are interpreted in terms of a simple model based on the existing theory of fingering in fluids.