Hydromechanics of low-Reynolds-number flow. Part 5. Motion of a slender torus

In order to elucidate the general Stokes flow characteristics present for slender bodies of finite centre-line curvature the singularity method for Stokes flow has been employed to construct solutions to the flow past a slender torus. The symmetry of the geometry and absence of ends has made a highly accurate analysis possible. The no-slip boundary condition on the body surface is satisfied up to an error term of O(E^2 ln E), where E is the slenderness parameter (ratio of cross-sectional radius to centre-line radius). This degree of accuracy makes it possible to determine the force per unit length experienced by the torus up to a term of O(E^2). A comparison is made between the force coefficients of the slender torus to those of a straight slender body to illustrate the large differences that may occur as a result of the finite centre-line curvature

Timescales of crystallization and viscous flow of the bulk glass-forming Zr-Ti-Ni-Cu-Be alloys

Crystallization behavior and equilibrium viscosity of a series of alloys in the Zr-Ti-Cu-Ni-Be system are studied using multiple techniques to determine the various contributions to glass-forming ability. Low-temperature time-temperature-transformation diagrams of alloys whose compositions lie at equally spaced points along the tie line from Zr38.5Ti16.5Cu15.25Ni9.75Be20 to Zr46.25Ti8.25Cu7.5Ni10Be27.5 are measured during isothermal annealing of initially amorphous specimens. Surprisingly, for all investigated alloys, a primary quasicrystalline phase forms at a rate which varies substantially with alloy composition. Subsequent constant heating measurements, x-ray-diffraction patterns obtained after various states of annealing, beam bending viscosity results, and previous thermal analysis are all used to describe the influences on crystallization in this series. The description of both the kinetic and thermodynamic aspects of crystallization allows for an explanation of the crystallization mechanism. In addition, it explains why, in this series, thermal stability is greatest in those alloys with the poorest glass-forming ability. Overall, the investigations reveal that simple criteria like thermal stability or high viscosity fail to predict the glass-forming ability in complex bulk glass-forming systems

Effects of Static and Dynamic Visuals on the Learning of Science Concepts in the Secondary-School Classroom

The current study is grounded in the cognitive theory of multimedia learning. The investigator considered how embedding science text with visuals could affect secondary-school students\u27 ability to retain the information they learn (rote learning) and transfer the new knowledge to an unfamiliar problem (meaningful learning). Furthermore, this study explored how the type of visuals (static versus vs. dynamic visual) and text (audio vs. print) affect science learning. The data generated was sourced from student participants in a secondary-school biology classroom. The purpose of this study was to investigate how prior knowledge and the integration of information modalities (i.e., text, audio, static visual, dynamic visuals) promotes rote learning (information retention) and meaningful learning (knowledge transfer) in science. The study was used also to investigate how the interaction of prior knowledge, which was coded as expertise level, with information modality effects learning and cognitive load. The study was based on a quasi-experiment that included a pretest, intervention, and posttest phase. The pretest assessed prior knowledge of the subject matter and established a baseline knowledge score. 117 participants were assigned to one of four treatment groups. For Group 1, the learning material was exclusively text. Group 2 had textual information with embedded pictures that corresponded with the concepts in the text. Group 3 had animation with the text subscripted in a video. And, Group 4 was provided with a fully animated version of the video that included audio narration instead of subscripted text. Three sets of response variables were generated from the collected data: (a) rote learning scores, (b) meaningful learning scores, and (c) cognitive load scores. The between-group differences in the response variables were evaluated via analysis of variance (ANOVA) using the SPSS Statistics software package. The ANOVA results revealed statistically significant effects only for rote learning and the cognitive load associated with rote learning. No statistically significant effect was detected for meaningful learning, the learning intervention, and their associated cognitive loads. Furthermore, the interaction of prior knowledge (i.e., learner expertise) with information modality did not have statistically significant effects on any of the responding variables

Critical cooling rate and thermal stability of Zr–Ti–Cu–Ni–Be alloys

The critical cooling rate as well as the thermal stability are measured for a series of alloys in the Zr–Ti–Cu–Ni–Be system. Upon cooling from the molten state with different rates, alloys with compositions ranging along a tie line from (Zr70Ti30)55(Ni39Cu61)25Be20 to (Zr85Ti15)55(Ni57Cu43)22.5Be27.5 show a continuous increase in the critical cooling rate to suppress crystallization. In contrast, thermal analysis of the same alloys shows that the undercooled liquid region, the temperature difference between the glass transition temperature and the crystallization temperature, is largest for some compositions midway between the two endpoints, revealing that glass forming ability does not correlate with thermal stability. The relationship between the composition-dependent glass forming ability and thermal stability is discussed with reference to a chemical decomposition process

Queuing Models of Tertiary Storage

Large scale scientific projects generate and use large amounts of data. For example, the NASA Earth Observation System Data and Information System (EOSDIS) project is expected to archive one petabyte per year of raw satellite data. This data is made automatically available for processing into higher level data products and for dissemination to the scientific community. Such large volumes of data can only be stored in robotic storage libraries (RSL's) for near-line access. A characteristic of RSL's is the use of a robot arm that transfers media between a storage rack and the read/write drives, thus multiplying the capacity of the system. The performance of the RSL's can be a critical limiting factor for the performance of the archive system. However, the many interacting components of an RSL make a performance analysis difficult. In addition, different RSL components can have widely varying performance characteristics. This paper describes our work to develop performance models of an RSL in isolation. Next we show how the RSL model can be incorporated into a queuing network model. We use the models to make some example performance studies of archive systems. The models described in this paper, developed for the NASA EODIS project, are implemented in C with a well defined interface. The source code, accompanying documentation, and also sample JAVA applets are available at: http://www.cis.ufl.edu/~ted

Permutation patterns and statistics

Let S_n denote the symmetric group of all permutations of the set {1, 2, ...,n} and let S = \cup_{n\ge0} S_n. If Pi is a set of permutations, then we let Av_n(Pi) be the set of permutations in S_n which avoid every permutation of Pi in the sense of pattern avoidance. One of the celebrated notions in pattern theory is that of Wilf-equivalence, where Pi and Pi' are Wilf equivalent if #Av_n(Pi)=#Av_n(Pi') for all n\ge0. In a recent paper, Sagan and Savage proposed studying a q-analogue of this concept defined as follows. Suppose st:S->N is a permutation statistic where N represents the nonnegative integers. Consider the corresponding generating function, F_n^{st}(Pi;q) = sum_{sigma in Av_n(Pi)} q^{st sigma}, and call Pi,Pi' st-Wilf equivalent if F_n^{st}(Pi;q)=F_n^{st}(Pi';q) for all n\ge0. We present the first in-depth study of this concept for the inv and maj statistics. In particular, we determine all inv- and maj-Wilf equivalences for any Pi containd in S_3. This leads us to consider various q-analogues of the Catalan numbers, Fibonacci numbers, triangular numbers, and powers of two. Our proof techniques use lattice paths, integer partitions, and Foata's fundamental bijection. We also answer a question about Mahonian pairs raised in the Sagan-Savage article.Comment: 28 pages, 5 figures, tightened up the exposition, noted that some of the conjectures have been prove

The Effects of Intent: Do We Know How Legal Standards Work?

No one knows how the intent standard works in racial discrimination cases, though many have speculated. To test the speculation, this study examines how the intent standard actually operates. Its findings cast doubt on whether we really know how any legal standard functions