Strength of thin-walled elliptical cylinders supported at the minor axis

In this investigation it was found that the instability failure of curved sheet is nearly independent of the type of loading and is primarily a function of the maximum stress, radius-thickness ration and modulus of elasticity. A method of correlating the critical stress of thin sheet under several different types of loading is given. An explanation for the experimental critical stress of thin walled cylinders under bending being greater than that for pure compression is given. The strength of unstiffened thin walled circular nose sections under pure bending was found to be controlled by local instability of the section, rather than a large scale instability. The equation of local instability of curved sheet gives values which are in fair agreement with those found experimentally.

The strength of elliptical cylinders supported at the minor axis under bending plus shear loads is governed primarily by the bending strength, and is little effected by the sheer force unless the amount of shear is quite large with respect to the moment. The effect of increasing the amount of elliptically greatly reduces the bending and shear strength of nose sections. Under torsional loads the stress at buckling falls off as the ration of the major to minor axis increases but the failure stress decreases at a slower rate than the buckling stress. The length effect of semi-circular sections under torsion is similar to that of a circular tube, and can be obtained by Donnell's theoretical equation.

Electromagnetic scattering from cylindrically and spherically stratified bodies

A method is developed for calculating the electromagnetic field scattered by certain types of bodies. The bodies consist of inhomogeneous media whose constitutive parameters vary only with the distance from some axis or point of symmetry. The method consists in an extension of the invariant imbedding method for treating wave problems. This method, which is familiar in the case of a one-dimensional inhomogeneity, is extended to handle special types of two and three-dimensional inhomogeneities. Comparisons are made with other methods which have been proposed for treating these kinds of problems. Examples of applications of the method are given, some of which are of interest in themselves.

I. Stokes flow past a thin screen. II. Viscous flows past porous bodies of finite size

Part I

The slow, viscous flow past a thin screen is analyzed based on Stokes equations. The problem is reduced to an associated electric potential problem as introduced by Roscoe. Alternatively, the problem is formulated in terms of a Stokeslet distribution, which turns out to be equivalent to the first approach.

Special interest is directed towards the solution of the Stokes flow past a circular annulus. A "Stokeslet" formulation is used in this analysis. The problem is finally reduced to solving a Fredholm integral equation of the second kind. Numerical data for the drag coefficient and the mean velocity through the hole of the annulus are obtained.

Stokes flow past a circular screen with numerous holes is also attempted by assuming a set of approximate boundary conditions. An "electric potential" formulation is used, and the problem is also reduced to solving a Fredholm integral equation of the second kind. Drag coefficient and mean velocity through the screen are computed.

Part II

The purpose of this investigation is to formulate correctly a set of boundary conditions to be prescribed at the interface between a viscous flow region and a porous medium so that the problem of a viscous flow past a porous body can be solved.

General macroscopic equations of motion for flow through porous media are first derived by averaging Stokes equations over a volume element of the medium. These equations, including viscous stresses for the description, are more general than Darcy's law. They reduce to Darcy's law when the Darcy number becomes extremely small.

The interface boundary conditions of the first kind are then formulated with respect to the general macroscopic equations applied within the porous region. An application of such equations and boundary conditions to a Poiseuille shear flow problem demonstrates that there usually exists a thin interface layer immediately inside the porous medium in which the tangential velocity varies exponentially and Darcy's law does not apply.

With Darcy's law assumed within the porous region, interface boundary conditions of the second kind are established which relate the flow variables across the interface layer. The primary feature is a jump condition on the tangential velocity, which is found to be directly proportional to the normal gradient of the tangential velocity immediately outside the porous medium. This is in agreement with the experimental results of Beavers, et al.

The derived boundary conditions are applied in the solutions of two other problems: (1) Viscous flow between a rotating solid cylinder and a stationary porous cylinder, and (2) Stokes flow past a porous sphere.

Relógios biológicos e padrões de alimentação em camundongos normais e com sobrepeso

A saudável interação entre o indivíduo e o meio depende do alinhamento entre a dinâmica fisiológica do primeiro e os periódicos movimentos da natureza. A interação entre tais ritmos por sua vez constitui-se em base e derivação do processo de evolução. O comprometimento de tal alinhamento representa um risco para a sobrevivência das espécies. Neste contexto, os organismos alinham seus ritmos fisiológicos a diferentes ciclos externos. Desta forma, ciclos endógenos são coordenados por relógios biológicos que determinam em nosso organismo, específicos ritmos em fase com a natureza, tais como ritmos circadianos (RC), cujo período aproxima-se de 24 horas. O peso corporal, a ingestão de alimentos e o consumo de energia são processos caracterizados pelo RC e a obesidade está associada a uma dessincronização deste processo. A modulação do RC é resultado da expressão dos clock gens CLOCK e BMAL1 que formam um heterodímero responsável pela transcrição gênica de Per1, Per2, Per3, Cry1 e Cry2. As proteínas codificadas por estes genes, uma vez sintetizadas, formam dímeros (PER-CRY) no citoplasma que, a partir de determinada concentração, retornam ao núcleo, bloqueando a ação do heterodímero CLOCK/BMAL1 na transcrição dos próprios genes, formando assim uma alça de retroalimentação negativa de transcrição e tradução. Estes genes asseguram a periodicidade e são significativamente expressos no núcleo supraquiasmático (SCN) do hipotálamo. Para estudar esse processo em camundongos normais e hiperalimentados, saciados e em estado de fome, foi utilizado um método de registro do comportamento alimentar baseado no som produzido pela alimentação dos animais, e a correlação destes estados metabólicos com a expressão de CLOCK, BMAL1, Per1, Per2, Per3, bem como das proteínas Cry1 e Cry2 no SCN, por análise de imagens obtidas em microscopia confocal. Camundongos suíços controle em estado de fome (CF) e saciados (CS) foram comparados com animais hiperalimentados com fome (HF) e saciados (HS). Nenhum grupo demonstrou diferença nos conteúdos CLOCK e BMAL1, indicando capacidade potencial para modular os ritmos biológicos. No entanto, as proteínas Per1, Per2, Per3 e Cry1 apresentaram menor expressão no grupo CS, mostrando uma diferença significativa quando comparados com o grupo CF (P<0,05), diferença esta não encontrada na comparação entre os grupos HF e HS. A quantidade de proteína Cry2 não foi diferente na mesma comparação. Os resultados do estudo indicaram que as alterações dos ritmos endógenos e exógenos, refletido pelo comportamento hiperfágico observado em camundongos hiperalimentados, pode ser devido a um defeito no mecanismo de feedback negativo associado ao dímero Cry-Per, que não bloqueia a transcrição de Per1 Per2, Per3 e Cry1 pelo heterodímero CLOCK-BMAL1.

Mathematical models for the prediction of temperature distributions resulting from the discharge of heated water into large bodies of water

Mathematical models for heated water outfalls were developed for three flow regions. Near the source, the subsurface discharge into a stratified ambient water issuing from a row of buoyant jets was solved with the jet interference included in the analysis. The analysis of the flow zone close to and at intermediate distances from a surface buoyant jet was developed for the two-dimensional and axisymmetric cases. Far away from the source, a passive dispersion model was solved for a two dimensional situation taking into consideration the effects of shear current and vertical changes in diffusivity. A significant result from the surface buoyant jet analysis is the ability to predict the onset and location of an internal hydraulic jump. Prediction can be made simply from the knowledge of the source Froude number and a dimensionless surface exchange coefficient. Parametric computer programs of the above models are also developed as a part of this study. This report was submitted in fulfillment of Contract No. 14-12-570 under the sponsorship of the Federal Water Quality Administration.

Small water bodies for sustainable fisheries production

A brief account is given of some of the discussions presented at a workshop regarding reservoir fisheries in Asia held in Hangzhou, China in Oct 1990. The presentations covered the range of reservoir fisheries management options, from basic limnological research and capture fisheries to intensive cage culture. Particular reference is made to the situation in China, describing current techniques used for stocking and developing reservoir fisheries.

A report on the strategic fisheries stock assessment survey of the minor catchments in South West Cumbria 1996 with particular reference to salmonids

This is the report on the strategic fisheries stock assessment survey of the minor catchments in South West Cumbria 1996 with particular reference to salmonids, produced by North West Water in 1994. The 1996 Minor Catchment survey indicates variations in salmonid production within these catchments. Survey results indicate that production may be reaching its limit in certain areas whilst others are underachieving and others are unsuitable for salmonid production. Trout production within the catchments is higher and more widespread than that of salmon. Water quality levels vary considerably between catchments and intra-annually within individual catchments. The need for selective habitat surveys, with a view to habitat improvement schemes (H.I.S) is discussed. This report formed a basis for subsequent reports, thus, allowing data comparisons and analysis of production level fluctuations. It was the most extensive assessment of these catchments to date, taking into account comparisons with the new National Database on salmonid production in England and Wales.

Reproductive biology of the blue swimmer crab (Portunus pelagicus, Decapoda: Portunidae) in five bodies of water on the west coast of Australia

Portunus pelagicus was collected at regular intervals from two marine embayments and two estuaries on the lower west coast of Australia and from a large embayment located approximately 800 km farther north. The samples were used to obtain data on the reproductive biology of this species in three very different environments. Unlike females, the males show a loosening of the attachment of the abdominal flap to the cephalothorax at a prepubertal rather than a pubertal molt. Males become gonadally mature (spermatophores and seminal fluid present in the medial region of the vas deferentia) at a very similar carapace width (CW) to that at which they achieve morphometric maturity, as reflected by a change in the relative size of the largest cheliped. Logistic curves, derived from the prevalence of mature male P. pelagicus, generally had wider confidence limits with morphometric than with gonadal data. This presumably reflects the fact that the morphometric (allometric) method of classifying a male P. pelagicus as mature employs probabilities and is thus indirect, whereas gonadal structure allows a mature male to be readily identified. However, the very close correspondence between the CW50’s derived for P. pelagicus by the two methods implies that either method can be used for management purposes. Portunus pelagicus attained maturity at a significantly greater size in the large embayment than in the four more southern bodies of water, where water temperatures were lower and the densities of crabs and fishing pressure were greater. As a result of the emigration of mature female P. pelagicus from estuaries, the CW50’s derived by using the prevalence of mature females in estuaries represent overestimates for those populations as a whole. Estimates of the number of egg batches produced in a spawning season ranged from one in small crabs to three in large crabs. These data, together with the batch fecundities of different size crabs, indicate that the estimated number of eggs produced by P. pelagicus during the spawning season ranges from about 78,000 in small crabs (CW=80 mm) to about 1,000,000 in large crabs (CW=180 mm).

Effects of duckweed (Lemna minor) as dietary fishmeal substitute for silver barb (Barbodes gonionotus Bleeker)

A 60-day long growth trial was conducted to evaluate the suitability of duckweed Lemna minor as dietary fish meal substitute for silver barb (Borbodes gonionotus Bleeker). Five iso-nitrogenous diets were formulated to contain 35% protein and each treatment had three replicates with 15 fish in each aquarium with a mean initial weight of 1.5 ± 0.2 g. Duckweed was used in the experiment to replace 10, 20, 30 and 35% of the dietary fish meal in diet 2, 3, 4 and 5 respectively. Fish meal was used as the sole source of protein in control diet (Diet 1). Fish were fed three times daily at satiation level. In terms of growth, food conversion and protein utilization, the control diet and diet containing 17.07% duckweed showed the best (P<0.05) performance followed by diets containing 34.14%, 51.21% and 59.24% duckweed. Fish fed diets containing higher levels of duckweed had higher carcass moisture and lower lipid content compared to the control diet. Histopathological examination revealed abnormalities in the liver of fish fed diets containing higher inclusion of duckweed. It was noted that 10% of the dietary fish meal protein could be replaced by duckweed (L. minor) in the diet of silver barb (B. gonionotus).