ALBERT

Description: A contact line on a heated oscillating plate is investigated. The interface is a non-deformable plane and the contact angle is π/2. The amplitude of the oscillation and the temperature deviation of the plate from the ambient temperature of the fluid are assumed to be much smaller than the viscous velocity scale. This flow is then governed by the unsteady Stokes equations coupled to the heat equation in a frame of reference moving with the contact line. Evaporation is assumed to be neglible, but the effects of heat transfer across the interface and unsteadiness are assumed to be significant. For a stationary heated plate, there are two distinct regions of flow that is induced by Marangoni stresses. An outer stagnation-point-type flow is seen, which separates from the plate for non-zero Biot numbers. For an oscillatory, isothermal plate, vortices are generated at the plate during plate reversal and are propagated along the interface. Dissipation of these vortices occurs on the Stokes layer scale. The order-Péclet-number correction in the thermal field is also found, and the presence of the flow field leads to a heated region in the steady case along the separating streamline. For the unsteady case, a localized cooled region propagates into the bulk with a trajectory determined by the relative scale of the thermal diffusive scale and the rate of heat transfer across the interface.

Description: Greenstockings was the name that the members of Sir John Franklin's first Arctic Land Expedition gave to a young Dene woman during their winter residence at Fort Enterprise in 1820–21. All the officers' journals remark on her physical beauty, a reputed beauty that subsequently put her at the centre of numerous rumours and accounts. Historians know little about her other than her physical attractiveness and her age, although Greenstockings might have borne a child to one of Franklin's officers, and male jealousy over her might have put the expedition at serious risk. In spite of the paucity of factual information, Greenstockings has been cast as a central character in a poem by Franklin's first wife and in an award-winning book by Canadian novelist Rudy Wiebe. These and other pieces of information show the way that different perspectives can allow for different representations of historical figures.

Description: Steady, finite-amplitude internal-wave disturbances, induced by nearly hydrostatic stratified flow over locally confined topography that is more elongated in the spanwise than the streamwise direction, are discussed. The nonlinear three-dimensional equations of motion are handled via a matched-asymptotics procedure: in an 'inner' region close to the topography, the flow is nonlinear but weakly three-dimensional, while far upstream and downstream the 'outer' flow is governed, to leading order, by the fully three-dimensional linear hydrostatic equations, subject to matching conditions from the inner flow. Based on this approach, non-resonant flow of general (stable) stratification over finite-amplitude topography in a channel of finite depth is analysed first. Three-dimensional effects are found to inhibit wave breaking in the nonlinear flow over the topography, and the downstream disturbance comprises multiple small-amplitude oblique wavetrains, forming supercritical wakes, akin to the supercritical free-surface wake induced by linear hydrostatic flow of a homogeneous fluid. Downstream wakes of a similar nature are also present when the flow is uniformly stratified and resonant (i.e. the flow speed is close to the long-wave speed of one of the modes in the channel), but, in this instance, they are induced by nonlinear interactions precipitated by three-dimensional effects in the inner flow and are significantly stronger than their linear counterparts. Finally, owing to this nonlinear-interaction mechanism, vertically unbounded uniformly stratified hydrostatic flow over finite-amplitude topography also features downstream wakes, in contrast to the corresponding linear disturbance that is entirely locally confined.

Description: Planar flow in the interfacial region of an open porous medium is investigated by finding solutions for Stokes flow in a channel partially filled with an array of circular cylinders beside one wall. The cylinders are in a square array oriented across the flow and are widely spaced, so that the solid volume fraction Φ is 0.1 or less. For this spacing, singularity methods are appropriate and so they are used to find solutions for both planar Couette flow and Poiseuille flow in the open portion of the channel. The solutions, accurate to O(Φ), are used to calculate the apparent slip velocity at the interface, Us, and results obtained for Us are presented in terms of a dimensionless slip velocity. For shear-driven flow, this dimensionless quantity is found to depend only weakly on Φ and to be independent of the height of the array relative to the height of the channel and independent of the cylinder size relative to the height of the channel. For pressure-driven flow, Us is found to be less than that under comparable shear-flow conditions, and dependent on cylinder size and filling fraction in this case. Calculations also show that the external flow penetrates the porous medium very little, even for sparse arrays, and that Us is about one quarter of the velocity predicted by the Brinkman model.

Description: Experiments were conducted on the interactions of two different-sized deformable drops moving due to gravity in an immiscible viscous fluid at low Reynolds number. As the drops come close to each other, several interactions are possible: (i) separation of the drops, (ii) capture of the smaller drop behind the larger drop, (iii) breakup of the smaller drop into two or more drops, and (iv) pass-through of one drop through the other, with possible cycle interaction or leap-frogging. The interactions depend on several system parameters, including the drop-to-medium viscosity ratio, the radius ratio of the two drops, the initial horizontal offset of the two drops at large vertical separation, and the gravitational Bond number (which represents the ratio of buoyant forces to interfacial tension forces for the larger drop and describes how much the drops will deform). Experimental analysis was conducted by videotaping trajectories of glycerol–water drops of various compositions falling in castor oil. The results show good agreement with available theoretical results, both for interaction maps and individual trajectories. The results also provide data beyond the present limitations of theoretical algorithms and reveal the new pass-through phenomenon.

Description: The dynamics of a thick layer of viscous liquid flowing down a thin vertical fibre is investigated. Three qualitatively different regimes of the interfacial patterns in the form of beads were observed experimentally. Two typical regimes at relatively small flow rate are described reasonably well by the creeping-flow model equation proposed here.

Description: Radiocarbon dating of bulk sediment has long been used as a method of last resort when reliable wood, charcoal, or plant macrofossils are not available for analysis. Accurate dating of sediment is complicated by the presence of multiple organic carbon fractions, each with a potentially different 14C activity. Additionally, the presence of carbon bound by clay minerals can significantly reduce the accuracy of a sediment age determination, with the oldest 14C ages seen in samples with the highest clay content (Scharpenseel and Becker-Heidmann 1992).

Description: A sea-ice thickness profile obtained in September 1996 from the Greenland Sea and the Eurasian Basin, extending as far as the North Pole, has shown an unusually open ice cover with low mean drafts, large amounts of open water and little deep pressure ridging. Comparisons with data obtained from the same region in October 1976 show that mean ice draft has declined by 43% and that the decline can largely be ascribed to a loss of the thickest ice.

Description: High-resolution records of sedimentary proxies provide insights into fine-scale geochemical responses to climatic forcing. Gamma-ray attenuation (GRA) bulk-density data and magnetic stratigraphy records from Palmer Deep, Site 1098, show variability close to the same scale as ice cores, making this site ideal for high-resolution geochemical investigations. In conjunction with shipboard geophysical measurements, silica records allow high-resolution evaluation of the frequencies and amplitudes of biogenic variability. This provides investigators additional data sets to evaluate the global extent of climatic events that are presently defined by regional oceanic data sets (e.g., Younger Dryas in the North Atlantic) and to evaluate the potential mechanisms that link biological productivity and climate in the Southern Ocean. In addition, because of the observed links between diatom blooms and export productivity (Michaels and Silver, 1988, doi:10.1016/0198-0149(88)90126-4), biogenic silica may be an indicator of the efficiency of the biological pump (removal of organic carbon from the euphotic zone and burial within the sediments). Because the net removal of CO2 (on short time scales up to millennial, the balance between upwelled CO2, carbon fixation, and the removal of organic carbon from the surface ocean) can determine the atmospheric concentration; proxies that allow us to quantify export production yield insights into carbon cycle responses. In today's ocean, diatoms are integrally linked with new production (production based on the use of nitrate and molecular nitrogen rather than ammonium, which is generated by the microbial degradation of organic carbon) (Dugdale and Goering, 1967). Thus, as with nutrient utilization proxies, biogenic silica may be a good indicator of export production. The difficulties lie in translating the biogenic opal burial records to export production. Numerous factors control the preservation of sedimentary biogenic silica, including depth of the water column, water temperature, trace element chemistry, grazing pressure, bloom structure, and species composition of the diatom assemblage (Nelson et al., 1995, doi:10.1029/95GB01070). In addition, several recent investigations have noted additional complications. Iron limitation increases the uptake of Si relative to carbon (Hutchins et al., 1998, ; Takeda, 1998, doi:10.1038/31674). In the Southern Ocean, iron limitation could produce more robust, and thus better preserved, diatoms; thus, the burial record may be a record of iron limitation rather than of the export of organic carbon (Boyle, 1998). In addition, laboratory experiments show that bacteria accelerate the dissolution of biogenic silica (Bidle and Azam, 1999, doi:10.1038/17351). Both the species composition and temperature seem to influence the amount of dissolution. Evidence of recycling of silicic acid within the photic zone (Brzezinski et al., 1997) suggests that the silica pump (removal from the euphotic zone of silica relative to nitrogen and phosphorus) may work with variable efficiency. This becomes an issue when trying to reconstruct the removal of organic carbon from sedimentary biogenic silica records. In fact, there is a wide range in the Si:Corganic molar ratio in the Southern Ocean (0.18-0.81) (Nelson et al., 1995; Ragueneau et al., 2000, doi:10.1016/S0921-8181(00)00052-7). Thus, the presence (or absence) of biogenic silica alone may tell us little about the export productivity, complicating the interpretation of age-related trends. One recent assessment has added some hope to links between productivity and opal burial in the Southern Ocean (Pondaven et al., 2000). Quantitative comparison of different productivity proxies will greatly aid in this evaluation.