On the relation between adjacent inviscid cell type solutions to the rotating-disk equations

Over a large range of the axial coordinate a typical higher-branch solution of the rotating-disk equations consists of a chain of inviscid cells separated from each other by viscous interlayers. In this paper the leading-order relation between two adjacent cells will be established by matched asymptotic expansions for general values of the parameter appearing in the equations. It is found that the relation between the solutions in the two cells crucially depends on the behaviour of the tangential velocity in the viscous interlayer. The results of the theory are compared with accurate numerical solutions and good agreement is obtained

An asymptotic treatment of the Elenbaas–Heller equation for a radiating wall‐stabilized high‐pressure gas‐discharge arc

An asymptotic analysis of the Elenbaas–Heller equation for a radiating wall-stabilized high-pressure gas-discharge arc is given. This analysis applies when the operating temperatures within the arc are lower than the ionization temperature by an order of magnitude. It is shown that for arcs that are radiating highly efficiently a further asymptotic treatment can be given. It is shown under what conditions, governed by a dimensionless parameter M, this limiting case prevails. Comparison with earlier results put forward by Zollweg [J. Appl. Phys. 49, 1077 (1978)] shows satisfactory agreement

Effect of minimal enteral feeding on recovery in a methotrexate-induced gastrointestinal mucositis rat model

Patients suffering from gastrointestinal mucositis often receive parenteral nutrition as nutritional support. However, the absence of enteral nutrition might not be beneficial for the intestine. We aimed to determine the feasibility of minimal enteral feeding (MEF) administration in a methotrexate (MTX)-induced mucositis rat model and thereby determine the effect of MEF on recovery. Male Wistar rats were attached to swivel systems from day 1 to 5 after 45 mg/kg MTX IV injection. The MTX group continued ad libitum feeding, and the MTX + MEF group continued ad libitum feeding and received from day 1 to 5 continuously MEF. MEF consisted of 20 % of their normal caloric intake. We measured body weight, intake, and plasma citrulline. At day 10, the rats were terminated and villus and crypt length were measured. The administration of MEF caused no increased severity of mucositis phenotype, with comparable caloric intake, body weight, and plasma citrulline during mucositis. The recovery of plasma citrulline levels was not different between both groups. At day 7 and 8, the MTX + MEF group gained significantly more weight (p <0.05 and p <0.01, respectively), and at day 8 and 9 the total caloric intake was significantly increased (p <0.01 and p <0.05, respectively) compared to the MTX group. At day 10, the rats from the MTX + MEF group showed a significant increase in jejunal villus length compared to the MTX group (p <0.05). This is the first study in which the feasibility of MEF administration during chemotherapy-induced mucositis was determined. This study indicates that MEF administration is feasible during mucositis and suggests that MEF accelerates recovery after MTX-induced mucositis

The vertical plate in laminar free convection: Effects of leading and trailing edges and discontinuous temperature

For laminar free-convection flow past a heated vertical plate of finite length, the local asymptotic flow structure is studied in regions where the boundary-layer equations do not provide a correct approximation at large Grashof numbers. The leading-edge region is shown to contribute a secondorder term to the integrated heat transfer. An integral form of the energy equation permits calculation of this correction in terms of the second-order boundary-layer solution away from the edge, without knowledge of the flow details near the edge, which can be obtained only by solution of the full Navier-Stokes equations. Near the trailing edge and near a jump in the prescribed plate temperature the longitudinal pressure gradient is found to be important in a thin sublayer adjacent to the plate, and the transverse pressure gradient is important in the remainder of the boundary layer, each for a distance along the plate which is slightly larger in order of magnitude than the boundary-layer thickness. At the trailing edge the sublayer problem is nonlinear and cannot be solved analytically, but it can be shown that the local correction to the total heat transfer is of slightly larger order of magnitude than the leading-edge correction. It is pointed out that the trailing-edge flow is identical in form to the flow near the edge of a rotating disc in a stationary fluid. The temperature-jump problem is linear and a solution is given which shows how the singularity in streamline slope predicted by the boundary-layer solution is removed. Bei laminarer natürlicher Strömung längs einer senkrecht stehenden endlichen geheizten Platte bei sehr grossen Grashof'schen Zahlen gibt es kleine Bereiche, bei denen die Grenzschichtgleichungen keine echte asymptotische Darstellung liefern. Im Vorderkantenbereich findet man ein Zusatzglied zweiter Ordnung für die gesamte Wärmeübertragung. Die Berechnung dieser Korrektur erfolgt durch eine Integralform der Energiegleichung, wobei nur die Lösung der Grenzschichtgleichung zweiter Ordnung fern von der Kante benützt wird, während die Kenntnis der Strömung in der Nähe der Kante nur durch eine Lösung der exakten Navier-Stokes'schen Gleichungen gefunden werden könnte. In der Nähe der Hinterkante und in der Nähe einer Diskontinuität der gegebenen Plattentemperatur wird das Längsdruckgefälle in einer dünnen Unterschicht wichtig; das Querdruckgefälle wird in dem restlichen Teil der Grenzschicht berücksichtigt, für eine Länge, deren Grössenordnung etwas grösser ist, als die der Grenzschichtdicke. Bei der Hinterkante ist das Unterschichtsproblem nicht linear, und es gibt keine analytische Lösung, aber man kann zeigen, dass die Grössenordnung der Korrektur der gesamten Wärmeübertragung etwas grösser ist als die Korrektur bei der Vorderkante. Die Strömung bei der Hinterkante ist dieselbe wie die Strömung bei der Kante einer rotierenden Scheibe in einer sonst ruhenden Flüssigkeit. Das Temperatur-Diskontinuitätsproblem ist linear, und eine Lösung ist hier gefunden worden, wodurch die von der Grenzschichttheorie gegebene Singularität (unendliche Quergeschwindigkeit) entfernt wird.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/43360/1/33_2005_Article_BF01591175.pd

A potential new tool for the toolbox: assessing gene drives for eradicating invasive rodent populations

Invasive rodents have significant negative impacts on island biodiversity. All but the smallest of rodent eradications currently rely on island-wide rodenticide applications. Although significant advances have been made in mitigating unintended impacts, rodent eradication on inhabited islands remains extremely challenging. Current tools restrict eradication eff orts to fewer than 15% of islands with critically endangered or endangered species threatened by invasive rodents. The Genetic Biocontrol of Invasive Rodents partnership is an interdisciplinary collaboration to develop and evaluate gene drive technology for eradicating invasive rodent populations on islands. Technological approaches currently being investigated include the production of multiple strains of Mus musculus with a modifi ed form of the native t-complex, or a CRISPR gene drive, carrying genes or mechanisms that determine sex. These systems have the potential to skew the sex ratio of off spring to approach 100% single-sex, which could result in population collapse. One goal proposed is to test the ability of constructs to spread and increase in frequency in M. musculus populations in biosecure, captive settings and undertake modelling to inform development and potential deployment of these systems. Structured ecologically-based risk assessments are proposed, along with social and cultural engagement to assess the acceptability of releasing a gene drive system. Work will be guided by an external ethics advisory board. Partners are from three countries with significant regulatory capacity (USA, Australia, New Zealand). Thus, we will seek data sharing agreements so that results from experiments may be used within all three countries and treat regulatory requirements as a minimum. Species-specific, scalable, and socially acceptable new eradication tools could produce substantial biodiversity benefits not possible with current technologies. Gene drive innovation may provide such a tool for invasive species management and be potentially transformative and worthy of exploring in an inclusive, responsible, and ethical manner

Finite element simulation of three-dimensional free-surface flow problems

An adaptive finite element algorithm is described for the stable solution of three-dimensional free-surface-flow problems based primarily on the use of node movement. The algorithm also includes a discrete remeshing procedure which enhances its accuracy and robustness. The spatial discretisation allows an isoparametric piecewise-quadratic approximation of the domain geometry for accurate resolution of the curved free surface. The technique is illustrated through an implementation for surface-tension-dominated viscous flows modelled in terms of the Stokes equations with suitable boundary conditions on the deforming free surface. Two three-dimensional test problems are used to demonstrate the performance of the method: a liquid bridge problem and the formation of a fluid droplet