Australian Mathematical Society (AustMS): E-Journals
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Furnace vestibule heat transport models
This is a report on the Lovells Springs challenge that was brought to the Mathematics in Industry Study Group at the University of Newcastle, Australia, in January 2020. The design of a furnace that heats steel rods to make them malleable and allow the reshaping of the rods into coiled springs is the challenge. Mathematical modelling of heat transport in the half-metre long furnace vestibule predicts the effect of vestibule geometry on the temperature of rods entering the furnace, and provides guidelines for deciding on the dimensions of the vestibule for improved energy efficiency of heating. Models considered include treating the rods as equivalent steel sheets, and as discrete steel rods. The relative importance of radiative and convective heat transfer mechanisms is considered. A longer vestibule, with length one or two metres, is recommended for improved heating efficiency of rods thicker than 25mm
Role of vibration in solid-liquid separation using a vacuum belt filter
Modelling and analysis are carried out for stages of de-watering mineral slurry on a vacuum-belt filter, with a patented vibrating roller module called `Viper' situated atop the formed cake. The long-term goal here is to improve the efficacy of the dewatering since enhancements by as little as 1% solid mass fraction have significant economic benefits. We show that Darcy's law accurately models the dewatering process through a clogging filter mat until no more water can be extracted using mere vacuuming, and the predicted solid mass fraction is in accordance with available data. It is shown that after this initial de-watering stage, air fingers are formed in accordance with Saffman--Taylor theory, thereby releasing the hydraulic pressure gradient and de-watering ceases as a result. The Viper units break up these fingers, thus facilitating further de-watering. Estimates of the time span of development of the air fingers are made using extended Saffman--Taylor theory and these are used to determine the optimal spacing of the Viper units. At the vibrational frequencies used in Viper units, the estimated Deborah number is small enough so that liquefaction is expected to occur; this would explain the efficacy of the Viper device
Proceedings of the 2022 Computational Techniques and Applications Conference
CTAC 2022
Queensland University of Technology, Brisbane, Australia 29 November – 2 December, 2022
The 21st Biennial Computational Techniques and Appli- cations Conference (CTAC-2022) was hosted by the School of Mathematical Sciences and Centre for Data Science at Queensland University of Technology in Brisbane.
The ANZIAM Special Interest Group in Computational Mathematics is responsible for this series of conferences, the first of which was held in 1981. The meeting provides an interactive forum for researchers interested in the de- velopment and use of computational methods applied to engineering, scientific and other problems. Participants of the conference are able to submit a short article based on their presentation for publication in this special section of the ANZIAM Journal (Electronic Supplement). The ed- itors, Tim Moroney, Qianqian Yang, Vivien Challis and Elliot Carr, thank the referees whose efforts have helped improve the quality of these conference proceedings.
This Special Section of the ANZIAM Journal (Electronic Supplement) contains the refereed conference papers. The eight keynote presentations were as follows.
Chris Drovandi, Queensland University of TechnologyLikelihood-Free Bayesian Inference and Model Mis- specification
Jennifer Flegg, The University of Melbourne Mathematical Modelling of Avascular Tumour Growth
Frances Kuo, The University of New South Wales
Lattice Meets Lattice—Application of Lattice Cuba- ture to Models in Lattice Gauge Theory
Christian Lubich, University of Tuebingen Convergent evolving surface finite element algo- rithms for geometric evolution equations
Marco Palombo, Cardiff University Perspectives on AI-powered brain microstructure imaging
Emilie Sauret, Queensland University of TechnologyA hybrid Lattice Boltzmann approach for simulating viscoelastic instabilities and elastic turbulence
Karen E Willcox, The University of Texas at Austin
Predictive Digital Twins: From Aerospace Engineer- ing to Computational Oncology
Andy Wilkins, CSIROThe Importance of Mathematics
The presentation by Andy Wilkins was a public lecture. The conference attracted 76 registered participants, and featured a total of 54 contributed talks.
CTAC2022 Organising Committee (QUT)
• Tim Moroney • Qianqian Yang • Ian Turner• Vivien Challis • Elliot Carr• Sarie Gould
CTAC2022 Scientific Committee
• Kevin Burrage (QUT)• Vivien Challis (QUT)• Frances Kuo (UNSW)• Bishnu Lamichhane (Newcastle) • Quoc Thong Le Gia (UNSW)
• Fawang Liu (QUT)• William Mclean (UNSW) • Tim Moroney (QUT)• Linda Stals (ANU)• Ian Turner (QUT)• Qianqian Yang (QUT)
Acknowledgements QUT acknowledges the Turrbal and Yugara, as the First Nations owners of the lands where QUT now stands. We pay respect to their Elders, lores, customs and creation spirits. We recognise that these lands have always been places of teaching, research and learning. QUT acknowledges the important role Aborigi- nal and Torres Strait Islander people play within the QUT community.
We gratefully acknowledge support from the following sponsors:
School of Mathematical Sciences, QUT
Centre for Data Science, QUT
Modelling and Simulation Society of Australia and New Zealand Inc
Mathematics of Computation and Optimization (MoCaO) special interest group of the Australian Mathematical Society
The ANZIAM Student Support Schem
On the number of algebraic points on the graph of the Weierstrass sigma functions
http://dx.doi.org/ 10.1017/S000497272200157
A criterion for hypersymmetry on discrete groupoids
http://dx.doi.org/10.1017/S000497272200132
Pricing and hedging of VIX derivatives in modified stochastic models
http://dx.doi.org/10.1017/S000497272300052
Pneumatic Conveying
Pneumatic conveying is the transportation of bulk solids in enclosed pipelines via a carrier gas, typically air. The local flow pattern in a pipeline is a function of the conditions, and slug flow can form under certain conditions. Slug flow is a naturally occurring, wave-like flow where the bulk material travels along the pipeline in distinct `slugs'. Establishing the environment for the formation of slugs within the conveying system is essential to maximise the overall system efficiency and minimise damage to the bulk material. MISG2021 considered a wide range of mathematical approaches to slug formation and travel. These two key problem areas have the most significant potential to impact the system design and efficiency. Critical interconnected facets of pneumatic conveying systems were investigated and an overview for future work was developed. Many of the avenues uncovered during the MISG2021 require more time for in-depth analysis. This analysis and framework will aid in optimising conveying system design and provide insight to construct more efficient pneumatic conveying systems
Groups with a large permutably embedded subgroup
http://dx.doi.org/10.1017/S000497271200033
Zaremba, Salem and the fractal nature of ghost distributions
http://dx.doi.org/10.1017/S000497271200033