Professor Natalie Thamwattana
Professor
School of Mathematical and Physical Sciences
 Email:natalie.thamwattana@newcastle.edu.au
 Phone:(02) 498 54081
Career Summary
Biography
Natalie’s impact to the applied mathematics discipline is evidenced by the award of the 2014 Australian and New Zealand Industrial and Applied Mathematics’ the JH Michell Medal as the outstanding researcher for the year and the 2014 University of Wollongong’s Vice Chancellor Emerging Researchers Excellence Award. Natalie’s achievement was profiled in the 2016 University of Wollongong’s Women of Impact, an initiative to acknowledge important contributions to research and teaching by women academics across all levels and disciplines. In 2019, Natalie was selected to be featured in an upcoming exhibit displaying 16 Australian Women of Mathematics – an Australian version of a wellknown exhibit "Women of Mathematics throughout Europe: a gallery of portraits". These awards and recognition are evidences of the quality of her research in Applied Mathematics and her national and international standing. The excellence of Natalie’s contribution is also demonstrated by the high quality of her research, as shown by her research publications in highquality fullyrefereed international journals including a good number of articles are published in topmost journals, such as the Proceedings of the Royal Society.
Natalie has made pioneering contributions to the fields of granular materials and nanotechnology. The major result of her research in granular materials was the derivation of a number of exact solutions for highly frictional materials in important industrial problems, such as a gravity flow from hopper. In 2007, Natalie jointly started the Nanomechanics Group at the University of Wollongong. Her research in nanotechnology involves the mechanics of interacting atomic and molecular structures, and is described as truly pioneering; the mathematical modelling undertaken is unique in a world context, and produces powerful analytical results for problems previously only solved numerically. Natalie’s modelling work with members of the Nanomechanics Group has resulted in a textbook “Modelling and Mechanics of Carbonbased Nanostructured Materials”, recently published by Micro & Nano Technologies, ELSEVIER.
Natalie has worked with researchers from various disciplines including engineering, computer science, chemistry, biology and medicine. These collaborations include research student supervisions and grant submissions. Presently, Natalie is the lead Chief Investigator of an ARC Discovery Project (20172019) on modelling electromaterials for energy applications. Natalie is also a modelling CI on an ARC Linkage Project (20202022) on clogging of permeable reactive barrier when treating acidic groundwater. In 20072011, she held an Australian postdoctoral award (APD) associated with an ARC Discovery Project on modelling nanomaterials in biology and medicine. Also, she has secured several University of Wollongong’s competitive grants.
Natalie has contributed to her discipline through research training and mentoring students who will further provide the expertise for the future development of applied mathematics nationally and internationally. Natalie has already successfully supervised eight PhD students to successful timely completion, many of whom have gone on to become established researchers in their own right:
Dr Yue Chan is a lecturer at the Institute for Advanced Study, Shenzhen University, China;
Dr Thien TranDuc is a research fellow at the School of Mathematical and Physical Sciences, University of Newcastle;
Dr Fainida Rahmat is the Head of the Department of Mathematics, Faculty of Science and Mathematics, Sultan Idris University of Education, Perak, Malaysia; and
Dr Duangkamon Baowan (Young Thai Scientist of the year 2013) is now an Associate Professor at the Department of Mathematics, Mahidol University, Thailand.
Natalie is currently supervising three PhD students in the area of modelling in biology, nanoscience and nanotechnology.
Natalie is actively involved in research leadership, holding positions on the various committees of the Australian Mathematical Society (AustMS), Australian and New Zealand Industrial and Applied Mathematics (ANZIAM), and the Australian Mathematical Sciences Institute (AMSI). She was the Director of UON's Priority Research Centre: ComputerAssisted Research Mathematics and its Applications (CARMA). Currently, she is the Director of Mathematics in Industry Study Group (MISG), 20202022. She has also been on the executive committee of Women in Mathematics Special Interest Group (WIMSIG) of the AustMS and a strong supporter of gender equity and diversity in mathematical sciences. Her passion is to promote study and research in mathematics across disciplinary boundaries.
Natalie also contributes to the discipline through outreach programs. She was awarded the NSW Department of Industry Conference Sponsorship Program to organise the MISG in 2020. At the University of Wollongong, she secured competitive grants to run an outreach program to motivate high school students to study high level mathematics at their schools which will help open the door to many degree options at the university level and many career pathways.
• 2013 Social Inclusion Project Scheme, “University of Wollongong: Mathematics and Statistics Explorer Day” ($7,000)
• 2011 Social Inclusion Project Scheme, “University of Wollongong: Mathematics Explorer Day 2011” ($8,000)
This outreach program is now an annual event at the School of Mathematics and Applied Statistics, University of Wollongong.
Summary of Natalie’s recent research contribution:
Natalie has made significant contributions in the area of electrorheological nanofluids, which consist of suspensions of dielectric nanoparticles in nonconducting fluids. She has explored different compositional nanoparticles, including two identical uncharged spheres, two nonidentical dielectric spheres and particles containing both conducting and dielectric materials. She has developed an approach to accurately calculate the force of attraction for closely spaced, polarised, dielectric particles; while at the same time are amenable to the material boundaries of various particle geometries. An exact solution was obtained which has not appeared in the literature previously, and which can be exploited to efficiently determine accurate numerical values to be used for the design of new ER fluids.
During her APD, Natalie has made contributions to the analysis of the mechanical characteristics of nanotubes as nanocarriers for targeted drug delivery. This work in particular involves exact mathematical formulae for the potential energy and the interaction forces between various nanostructures. These results give precise predictions for the equilibrium spacing of the two molecules and the conditions under which a molecule will be attracted into or repulsed from a particular nanotube. These results have been applied by other researchers to the study of the mechanics of encapsulation of various anticancer drugs into nanocontainers, such as various types of nanotubes. This approach was also used to investigate the encapsulation of conducting polymers, such as acetylene molecules, into carbon nanotubes for applications as superconducting nanowires. Natalie has undertaken research on predicting the structure of proteins using the calculus of variations. Through this method, she has provided a new set of numerical data which are suitable for explaining the physical behaviour of several types of DNA. She also studied the equilibrium conformation of polymer chains with noncircular cross section. Recently, Natalie adopts the calculus of variations to determine the joining profiles of carbon nanostructures and the folding and the wrinkle of graphene sheets.
Natalie has also studied the interactions between aromatic rings. These interactions are generally found to stabilize protein molecules and the double helical structure of DNA, and they also play an important role in recognition processes in biological and nonbiological systems. For the interaction between two benzene rings, she obtained an analytical expression for the potential energy which can then be used to predict equilibrium configurations for two interacting benzene molecules. These studies have been extended to modelling molecular interactions involving hydrocarbon molecules. In particular, she investigated an environmental application of carbon nanostructures for filtering and adsorbing polycyclic aromatic hydrocarbons, which are environmental pollutants.
Natalie has explored the use of layered graphene structures as a carrier for drug molecules. She has also investigated the use of organic nanotubes, such as peptide nanotubes and lipid nanotubes, for applications in nanomedicine and nanobiotechnology. For the application of peptide nanotubes as an artificial transmembrane ion channel, she has studied the mechanisms of encapsulation and transportation of various ions in a peptide nanotube. This study has been extended to the encapsulation and transport of drug molecules in peptide nanotubes. Additionally, her current research involves the electrochemical process in dyesensitized solar cells (ARCDP170102705), modelling interactions between cells, modelling biological channels and micro and mesoporous materials. Modelling flow of water, ions and molecules through porous structures and biological channels.
Qualifications
 Doctor of Philosophy, University of Wollongong
Keywords
 applied mathematical modelling
 applied mathematics
 mechanics of granular materials
 modelling nanostructures
 nanomechanics
Languages
 Thai (Mother)
Fields of Research
Code  Description  Percentage 

010207  Theoretical and Applied Mechanics  40 
010302  Numerical Solution of Differential and Integral Equations  40 
010299  Applied Mathematics not elsewhere classified  20 
Professional Experience
UON Appointment
Title  Organisation / Department 

Professor  University of Newcastle School of Mathematical and Physical Sciences Australia 
Awards
Award
Year  Award 

2014 
The JH Michell Medal Australia and New Zealand Industrial and Applied Mathematics 
2014 
University of Wollongong's Emerging Researchers Excellence Award University of Wollongong 
Publications
For publications that are currently unpublished or inpress, details are shown in italics.
Book (1 outputs)
Year  Citation  Altmetrics  Link  

2017 
Baowan D, Cox BJ, Hilder TA, Hill JM, Thamwattana N, Modelling and mechanics of carbonbased nanostructured materials (2017) © 2017 Elsevier Inc. All rights reserved. Modelling and Mechanics of Carbonbased Nanostructured Materials sets out the principles of applied mathematical modeling in the topical ... [more] © 2017 Elsevier Inc. All rights reserved. Modelling and Mechanics of Carbonbased Nanostructured Materials sets out the principles of applied mathematical modeling in the topical area of nanotechnology. It is purposely designed to be selfcontained, giving readers all the necessary modeling principles required for working with nanostructures. The unique physical properties observed at the nanoscale are often counterintuitive, sometimes astounding researchers and thus driving numerous investigations into their special properties and potential applications. Typically, existing research has been conducted through experimental studies and molecular dynamics simulations. This book goes beyond that to provide new avenues for study and review. Explores how modeling and mechanical principles are applied to better understand the behavior of carbon nanomaterials. Clearly explains important models, such as the LennardJones potential, in a carbon nanomaterials context. Includes worked examples and exercises to help readers reinforce what they have read.

Chapter (2 outputs)
Year  Citation  Altmetrics  Link  

2010 
Baowan D, Thamwattana N, Cox BJ, Hill JM, 'Mechanics of nanoscaled oscillators', Handbook of Nanophysics: Functional Nanomaterials 3613616 (2010) © 2010 by Taylor & Francis Group, LLC. Based on the results of Zheng et al. (2002), the shorter the inner core nanotube, the higher is the frequency. As a result, instead of... [more] © 2010 by Taylor & Francis Group, LLC. Based on the results of Zheng et al. (2002), the shorter the inner core nanotube, the higher is the frequency. As a result, instead of using multiwalled carbon nanotubes, Liu et al. (2005) investigated the high frequencies generated by using a C60 fullerene that is oscillating inside a singlewalled carbon nanotube. Furthermore, in contrast to the multiwalled carbon nanotube oscillator, the C60nanotube oscillator tends not to suffer from a rocking motion, as a consequence of the reduced frictional effect. While Qian et al. (2001) and Liu et al. (2005) use molecular dynamics simulations to study this problem, this chapter employs elementary mechanical principles to provide models for the C60singlewalled carbon nanotube, doublewalled carbon nanotubes, and singlewalled carbon nanotube nanobundle oscillators. The oscillatory behavior of these systems is investigated by utilizing the continuum approximation arising from the assumption that the discrete atoms can be smeared across each surface. The chapter provides a synopsis of the work of the authors appearing in Baowan and Hill (2007), Baowan et al. (2008), Cox et al. (2007ac, 2008), Hilder and Hill (2007), and Thamwattana and Hill (2008). 

2005 
Cox GM, McCue SW, Thamwattana N, Hill JM, 'Perturbation solutions for flow through symmetrical hoppers with inserts and asymmetrical wedge hoppers', Mathematics and Mechanics of Granular Materials 6391 (2005) Under certain circumstances, an industrial hopper which operates under the funnelflow regime can be converted to the massflow regime with the addition of a flowcorrective inser... [more] Under certain circumstances, an industrial hopper which operates under the funnelflow regime can be converted to the massflow regime with the addition of a flowcorrective insert. This paper is concerned with calculating granular flow patterns near the outlet of hoppers that incorporate a particular type of insert, the coneincone insert. The flow is considered to be quasistatic, and governed by the CoulombMohr yield condition together with the nondilatant doubleshearing theory. In twodimensions, the hoppers are wedgeshaped, and as such the formulation for the wedgeinwedge hopper also includes the case of asymmetrical hoppers. A perturbation approach, valid for high angles of internal friction, is used for both twodimensional and axially symmetric flows, with analytic results possible for both leading order and correction terms. This perturbation scheme is compared with numerical solutions to the governing equations, and is shown to work very well for angles of internal friction in excess of 45°. © 2005 Springer.

Journal article (82 outputs)
Year  Citation  Altmetrics  Link  

2020 
Georgiou F, Thamwattana N, 'Modelling phagocytosis based on cell cell adhesion and prey predator relationship', Mathematics and Computers in Simulation, 171 5264 (2020) [C1]


2020 
TranDuc T, PhanThien N, Thamwattana N, 'On permeability of corrugated pore membranes', AIP Advances, 10 (2020) [C1]


2020 
Stevens K, TranDuc T, Thamwattana N, Hill JM, 'Continuum Modelling for Interacting Coronene Molecules with a Carbon Nanotube.', Nanomaterials, 10 (2020) [C1]


2020 
Indraratna B, Medawela S, Rowe RK, Thamwattana N, Heitor A, 'Biogeochemical Clogging of Permeable Reactive Barriers in AcidSulfate Soil Floodplain', Journal of Geotechnical and Geoenvironmental Engineering, 146 (2020) [C1]


2020 
Maldon B, Thamwattana N, Edwards M, 'Exploring nonlinear diffusion equations for modelling dyesensitized solar cells', Entropy, 22 (2020) [C1]


2019 
Thamwattana N, Sarapat P, Chan Y, 'Mechanics and dynamics of lysozyme immobilisation inside nanotubes', JOURNAL OF PHYSICSCONDENSED MATTER, 31 (2019) [C1]


2019 
Maldon B, Thamwattana N, 'An analytical solution for charge carrier densities in dyesensitized solar cells', Journal of Photochemistry and Photobiology A: Chemistry, 370 4150 (2019) [C1]


2018 
Sripaturad P, Alshamarri NA, Thamwattana N, McCoy JA, Baowan D, 'Willmore energy for joining of carbon nanostructures', PHILOSOPHICAL MAGAZINE, 98 15111524 (2018) [C1]


2018 
Dyer T, Thamwattana N, Cox B, 'Conformation of graphene folding around singlewalled carbon nanotubes', JOURNAL OF MOLECULAR MODELING, 24 (2018) [C1]


2018 
Alshammari NA, Thamwattana N, McCoy JA, Baowan D, Cox BJ, Hill JM, 'Modelling joining of various carbon nanostructures using calculus of variations', Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms, 25 307339 (2018) [C1]


2017 
Al Garalleh H, Thamwattana N, Garaleh M, 'Modelling interaction between a methane molecule and biological channels', Journal of Computational and Theoretical Nanoscience, 14 34163421 (2017) Copyright © 2017 American Scientific Publishers All rights reserved Printed in the United States of America. Aquaporins are small ubiquitous membranes in biological channels that ... [more] Copyright © 2017 American Scientific Publishers All rights reserved Printed in the United States of America. Aquaporins are small ubiquitous membranes in biological channels that play significant role in the transportation of nanosized materials, such as water and other biomolecules, into cell. The present work proposes a mathematical model to determine the potential energy of the interaction between a methane molecule and three different types of aquaporin channels, which are aquaporinZ, aquaglyceroporin and aquaporin1. We adopt a continuous model, where all atoms comprising the aquaporin channels are assumed to be uniformly distributed throughout their volumes. We also assume that a methane molecule comprises two parts: A single point representing the carbon atom at the centre and a spherical shell of four evenly distributed hydrogen atoms. Our results indicate the naturalistic acceptance of a methane molecule inside aquaglyceroporin and aquaporin1 channels, but the repulsion occurs for the case of aquaporinZ channel.


2016 
Sarapat P, Thamwattana N, Baowan D, 'Continuum modelling for adhesion between paint surfaces', INTERNATIONAL JOURNAL OF ADHESION AND ADHESIVES, 70 234238 (2016)


2016 
Al Garalleh H, Thamwattana N, Cox BJ, Hill JM, 'Encapsulation of LHistidine Amino Acid Inside SingleWalled Carbon Nanotubes', JOURNAL OF BIOMATERIALS AND TISSUE ENGINEERING, 6 362369 (2016)


2016 
Tiangtrong P, Thamwattana N, Baowan D, 'Modelling water molecules inside cyclic peptide nanotubes', APPLIED NANOSCIENCE, 6 345357 (2016)


2015 
Al Garalleh H, Thamwattana N, Cox BJ, Hill JM, 'Modeling Interactions Between C60 Antiviral Compounds and HIV Protease', BULLETIN OF MATHEMATICAL BIOLOGY, 77 184201 (2015)


2015 
Thamwattana N, 'MODELLING ION, WATER AND IONWATER CLUSTER ENTERING PEPTIDE NANOTUBES', ANZIAM JOURNAL, 57 6278 (2015)


2015 
Al Garalleh H, Thamwattana N, Cox BJ, Hill JM, 'Interaction of Individual Ions, IonWater Clusters with Aquaglyceroporin and Aquaporin1 Channels', JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, 12 15051511 (2015)


2015 
Dyer T, Thamwattana N, Jalili R, 'Modelling the interaction of graphene oxide using an atomisticcontinuum model', RSC ADVANCES, 5 7706277070 (2015)


2014 
Baowana D, Thamwattana N, 'Modelling encapsulation of gold and silver nanoparticles inside lipid nanotubes', PHYSICA ASTATISTICAL MECHANICS AND ITS APPLICATIONS, 396 149154 (2014)


2014 
TranDuc T, Thamwattana N, Baowan D, 'Modelling gas storage capacity for porous aromatic frameworks', Journal of Computational and Theoretical Nanoscience, 11 234241 (2014) This paper examines the gas storage capacity of recently developed highporosity materials known as porous aromatic frameworks (PAFs). We develop a mathematical model to examine t... [more] This paper examines the gas storage capacity of recently developed highporosity materials known as porous aromatic frameworks (PAFs). We develop a mathematical model to examine the gravimetric and volumetric uptake capacities of both hydrogen and methane for PAFs. Our results indicate that hydrogen gravimetric and volumetric uptakes of PAF301, PAF302, PAF303 and PAF304 at 77 K and 100 bar are (1.09 wt.%, 9.14 g/L), (6.43 wt.%, 20.26 g/L), (12.62 wt.%, 20.34 g/L) and (19.80 wt.%, 19.77 g/L), respectively. The gravimetric uptakes of PAF303 and PAF304 are reasonably high, while their volumetric uptakes are relatively low due to their very low bulk densities. Although high porosity is an important criterion for the design of gasstorage materials, our results show that it is not the dominating factor for determining gasstorage capacity of porous materials. A porous material with reasonably high porosity together with selectively highlyinteracting components and a reasonable bulk density will have a higher storage capacity than materials with high porosities, such as PAF304. Copyright © 2014 American Scientific Publishers All rights reserved.


2013 
Thamwattana N, Thien TD, Baowan D, 'Modelling interactions between a PBB and fullerenes', JOURNAL OF MATHEMATICAL CHEMISTRY, 51 10011022 (2013)


2013 
Al Garalleh H, Thamwattana N, Cox BJ, Hill JM, 'Modelling interaction between ammonia and nitric oxide molecules and aquaporins', JOURNAL OF MATHEMATICAL CHEMISTRY, 51 20202032 (2013)


2013 
Al Garalleh H, Thamwattana N, Cox BJ, Hill JM, 'Modelling carbon dioxide molecule interacting with aquaglyceroporin and aquaporin1 channels', JOURNAL OF MATHEMATICAL CHEMISTRY, 51 23172327 (2013)


2013 
Baowan D, Thamwattana N, 'Modelling selective separation of trypsin and lysozyme using mesoporous silica', MICROPOROUS AND MESOPOROUS MATERIALS, 176 209214 (2013)


2013 
GerhardtBourke A, Thamwattana N, 'Comment on "Equilibrium conformation of polymer chains with noncircular cross section"', PHYSICAL REVIEW E, 87 (2013)


2013 
Rahmat F, Thamwattana N, Hill JM, 'Modelling LennardJones Interactions Between Two Peptide Rings', JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, 10 775782 (2013)


2013 
Al Garalleh H, Thamwattana N, Cox BJ, Hill JM, 'Modelling van der Waals Interaction Between Water Molecules and Biological Channels', JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, 10 27222731 (2013)


2013 
Thamwattana N, Baowan D, Cox BJ, 'Modelling bovine serum albumin inside carbon nanotubes', RSC ADVANCES, 3 2348223488 (2013)


2012 
Thamwattana N, 'Insertion of atoms and fullerenes into layers of graphene structures', Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms, 19 597611 (2012) In this paper, we use a continuum approach together with the LennardJones potential to determine the potential energy for an atom and a C 60 fullerene interacting with a singlel... [more] In this paper, we use a continuum approach together with the LennardJones potential to determine the potential energy for an atom and a C 60 fullerene interacting with a singlelayer graphene sheet. We also consider the interactions involving doublelayer graphene structures. In order to explore the possibility of using doublelayer graphene structures as a nanocarrier for targeted drug delivery, we investigate the molecular insertion of a carbon atom and a C 60 molecule into the space between the graphene layers. We find that an atom and the outer surface of the fullerene prefer to be approximately 3.4 and 2.95 Å away from a singlelayer graphene, which is consistent with the literature. Further, we find that the minimum distances between the two layers of the graphene structure for an atom and a C 60 molecule to be accepted into the interspace are 6.2 and 12.2 Å, respectively. However, we find that when the distances between the layers equal to 6.8 and 13 Å for the atom and the C 60 molecule, respectively, the total interaction energy is minimum and therefore the system is most stable. When the interlayer distance is greater than 6.8 and 13 Å for the atom and the fullerene C 60, even though the atom and the fullerene C 60 will be accepted into the interlayer spacing, the system is not stable as the energy is higher. Knowledge of the size of the interlayer spacing may be particularly useful for the design of the doublelayer graphene structures for drug delivery applications. Copyright © 2012 Watam Press. 

2011 
Thien TD, Thamwattana N, Hill JM, 'Orientation of a benzene molecule inside a carbon nanotube', JOURNAL OF MATHEMATICAL CHEMISTRY, 49 11151127 (2011)


2011 
Baowan D, Thamwattana N, 'Modelling adsorption of a water molecule into various pore structures of silica gel', JOURNAL OF MATHEMATICAL CHEMISTRY, 49 22912307 (2011)


2011 
Thien TD, Thamwattana N, Cox BJ, Hill JM, 'Encapsulation of a benzene molecule into a carbon nanotube', COMPUTATIONAL MATERIALS SCIENCE, 50 27202726 (2011)


2011 
Thien TD, Thamwattana N, 'Modeling encapsulation of acetylene molecules into carbon nanotubes', JOURNAL OF PHYSICSCONDENSED MATTER, 23 (2011)


2011 
Rahmat F, Thamwattana N, Cox BJ, 'Modelling peptide nanotubes for artificial ion channels', NANOTECHNOLOGY, 22 (2011)


2011 
Chan Y, Thamwattana N, Hill JM, 'Axial buckling of multiwalled carbon nanotubes and nanopeapods', EUROPEAN JOURNAL OF MECHANICS ASOLIDS, 30 794806 (2011)


2011 
Thien TD, Thamwattana N, 'Modelling Carbon Nanostructures for Filtering and Adsorbing Polycyclic Aromatic Hydrocarbons', JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, 8 20722077 (2011)


2010 
Thamwattana N, Cox BJ, Hill JM, 'Editorial: Special Issue on Mathematics and Mechanics in Nanotechnology', MATHEMATICS AND MECHANICS OF SOLIDS, 15 707707 (2010)


2010 
Thamwattana N, Hill JM, Baowan D, Cox BJ, 'A Review of Mathematical and Mechanical Modelling in Nanotechnology', MATHEMATICS AND MECHANICS OF SOLIDS, 15 708717 (2010)


2010 
TranDuc T, Thamwattana N, Cox BJ, Hill JM, 'General Model for Molecular Interactions in a Benzene Dimer', MATHEMATICS AND MECHANICS OF SOLIDS, 15 782799 (2010)


2010 
TranDuc T, Thamwattana N, Cox BJ, Hill JM, 'Modelling the interaction in a benzene dimer', PHILOSOPHICAL MAGAZINE, 90 17711785 (2010)


2010 
Rahmat F, Thamwattana N, Hill JM, 'Carbon nanotube oscillators for applications as nanothermometers', JOURNAL OF PHYSICS AMATHEMATICAL AND THEORETICAL, 43 (2010)


2009 
Chan Y, Thamwattana N, Hill JM, 'Restricted Three Body Problems at the Nanoscale', FEWBODY SYSTEMS, 46 239247 (2009)


2009 
Chan Y, Thamwattana N, Cox GM, Hill JM, 'Mechanics of nanoscale orbiting systems', JOURNAL OF MATHEMATICAL CHEMISTRY, 46 12711291 (2009)


2009 
Thamwattana N, Hill JM, 'Nanotube bundle oscillators: Carbon and boron nitride nanostructures', PHYSICA BCONDENSED MATTER, 404 39063910 (2009)


2009 
Thamwattana N, Baowan D, Hill JM, 'Continuum Modelling for Interactions Between Fullerenes and Other Carbon Nanostructures', JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, 6 972984 (2009)


2009 
Chan Y, Thamwattana N, Hill JM, 'Magnetic Field Driven Nano Tippe Top', JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, 6 10131020 (2009)


2008 
Cox GM, Thamwattana N, McCue SW, Hill JM, 'CoulombMohr Granular Materials: Quasistatic Flows and the Highly Frictional Limit', APPLIED MECHANICS REVIEWS, 61 (2008)


2008 
Baowan D, Thamwattana N, Hill JM, 'Suction energy and offset configuration for doublewalled carbon nanotubes', COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 13 14311447 (2008)


2008 
Cox BJ, Thamwattana N, Hill JM, 'Mechanics of nanotubes oscillating in carbon nanotube bundles', PROCEEDINGS OF THE ROYAL SOCIETY AMATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 464 691710 (2008)


2008 
Thamwattana N, Hill JM, 'Oscillation of nested fullerenes (carbon onions) in carbon nanotubes', JOURNAL OF NANOPARTICLE RESEARCH, 10 665677 (2008)


2008 
Cox BJ, Hilder TA, Baowan D, Thamwattana N, Hill JM, 'Continuum modelling of gigahertz nanooscillators', INTERNATIONAL JOURNAL OF NANOTECHNOLOGY, 5 195217 (2008)


2008 
Cox BJ, Thamwattana N, Hill JM, 'Mathematical modelling of electrorheological nanofluids', INTERNATIONAL JOURNAL OF NANOTECHNOLOGY, 5 243276 (2008)


2008 
Cox BJ, Thamwattana N, Hill JM, 'Mathematical modelling of electrorheological nanofluids', International Journal of Nanotechnology, 5 243276 (2008) Copyright © 2008 Inderscience Enterprises Ltd. This paper provides a review of theoretical and experimental advancements in electrorheological (ER) fluids. Experimental results an... [more] Copyright © 2008 Inderscience Enterprises Ltd. This paper provides a review of theoretical and experimental advancements in electrorheological (ER) fluids. Experimental results and theoretical models for these novel fluids and their impact in the field of nanotechnology are discussed. This paper reviews their development since the ER phenomenon was first described in the 1940s as well as some recent theoretical results of the authors. These include a description of the multipole reexpansion method for calculating the electrostatic force of attraction between dielectric particles in an externally applied electric field; the description of a critical ratio of particle sizes in a bidisperse systems which provides a genuine maximum for the force of attraction between particles; and how the multipole reexpansion method may be extended to provide a solution for conducting particles with a dielectric coating. Finally, a new general result for thinly coated conducting bodies in an applied electric field is given.


2008 
Thamwattana N, Hill JM, 'Comment on "General equilibrium shape equations of polymer chains"', PHYSICAL REVIEW E, 78 (2008)


2008 
Cox BJ, Thamwattana N, Hill JM, 'Orientation of spheroidal fullerenes inside carbon nanotubes with potential applications as memory devices in nanocomputing', JOURNAL OF PHYSICS AMATHEMATICAL AND THEORETICAL, 41 (2008)


2008 
Baowan D, Thamwattana N, Hill JM, 'Zigzag and spiral configurations for fullerenes in carbon nanotubes (vol 40, pg 7543, 2007)', JOURNAL OF PHYSICS AMATHEMATICAL AND THEORETICAL, 41 (2008)


2008 
Baowan D, Thamwattana N, Hill JM, 'Erratum: Zigzag and spiral configurations for fullerenes in carbon nanotubes (Journal of Physics A: Mathematical and Theoretical (2007) 40 (75437556))', Journal of Physics A: Mathematical and Theoretical, 41 (2008)


2008 
Thamwattana N, McCoy JA, Hill JM, 'Energy density functions for protein structures', QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 61 431451 (2008)


2007 
Cox BJ, Thamwattana N, Hill JM, 'Mechanics of spheroidal fullerenes and carbon nanotubes for drug and gene delivery', QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 60 231253 (2007)


2007 
Cox BJ, Thamwattana N, Hill JM, 'Electrostatic force between coated conducting spheres with applications to electrorheological nanofluids', JOURNAL OF ELECTROSTATICS, 65 680688 (2007)


2007 
Thamwattana N, Hill JM, 'Continuum modelling for carbon and boron nitride nanostructures', JOURNAL OF PHYSICSCONDENSED MATTER, 19 (2007)


2007 
Cox BJ, Thamwattana N, Hill JM, 'Mechanics of atoms and fullerenes in singlewalled carbon nanotubes. I. Acceptance and suction energies', PROCEEDINGS OF THE ROYAL SOCIETY AMATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 463 461476 (2007)


2007 
Cox BJ, Thamwattana N, Hill JM, 'Mechanics of atoms and fullerenes in singlewalled carbon nanotubes. II. Oscillatory behaviour', PROCEEDINGS OF THE ROYAL SOCIETY AMATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 463 477494 (2007)


2007 
Cox BJ, Thamwattana N, Hill JM, 'Mechanics of atoms and fullerenes in singlewalled carbon nanotubes. I. Acceptance and suction energies (vol 463, pg 461, 2006)', PROCEEDINGS OF THE ROYAL SOCIETY AMATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 463 33953395 (2007)


2007 
Cox BJ, Thamwattana N, Hill JM, 'Mechanics of atoms and fullerenes in singlewalled carbon nanotubes. II. Oscillatory behaviour (vol 463, pg 477, 2006)', PROCEEDINGS OF THE ROYAL SOCIETY AMATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 463 33953395 (2007)


2007 
Baowan D, Thamwattana N, Hill JM, 'Continuum modelling of spherical and spheroidal carbon onions', EUROPEAN PHYSICAL JOURNAL D, 44 117123 (2007)


2007 
Baowan D, Thamwattana N, Hill JM, 'Zigzag and spiral configurations for fullerenes in carbon nanotubes', JOURNAL OF PHYSICS AMATHEMATICAL AND THEORETICAL, 40 75437556 (2007)


2007 
Cox BJ, Thamwattana N, Hill JM, 'Mechanics of fullerenes oscillating in carbon nanotube bundles', JOURNAL OF PHYSICS AMATHEMATICAL AND THEORETICAL, 40 1319713208 (2007)


2007 
Baowan D, Thamwattana N, Hill JM, 'Encapsulation of C60 fullerenes into singlewalled carbon nanotubes: Fundamental mechanical principles and conventional applied mathematical modeling', PHYSICAL REVIEW B, 76 (2007)


2006 
Cox BJ, Thamwattana N, Hill JM, 'Electric fieldinduced force between two identical uncharged spheres', APPLIED PHYSICS LETTERS, 88 (2006)


2006 
Cox BJ, Thamwattana N, Hill JM, 'Maximising the electrorheological effect for bidisperse nanofluids from the electrostatic force between two particles', RHEOLOGICA ACTA, 45 909917 (2006)


2005 
Thamwattana N, 'Some analytical solutions for problems involving highly frictional granular materials', BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 71 527528 (2005)


2005  Thamwattana N, 'Some analytical solutions for problems involving highly frictional granular materials', Bulletin of the Australian Mathematical Society, 71 527528 (2005)  
2005 
Cox GM, Mccue SW, Thamwattana N, Hill JM, 'Perturbation solutions for flow through symmetrical hoppers with inserts and asymmetrical wedge hoppers', JOURNAL OF ENGINEERING MATHEMATICS, 52 6391 (2005)


2005 
Thamwattana N, Hill JM, 'Perturbation solutions for highly frictional granular media', PROCEEDINGS OF THE ROYAL SOCIETY AMATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 461 2142 (2005)


2004 
Cox GM, Hill JN, Thamwattana N, 'A formal exact mathematical solution for a sloping rathole in a highly frictional granular solid', ACTA MECHANICA, 170 127147 (2004)


2004 
Thamwattana N, Hill JM, 'Stress distributions within curved highly frictional granular stockpiles', QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 57 447466 (2004)


2004 
Thamwattana N, Cox GM, Hill JM, 'Stress distributions in highly frictional granular heaps', Zeitschrift fur Angewandte Mathematik und Physik, 55 330356 (2004) The practice of storing granular materials in stock piles occurs throughout the world in many industrial situations. As a result, there is much interest in predicting the stress d... [more] The practice of storing granular materials in stock piles occurs throughout the world in many industrial situations. As a result, there is much interest in predicting the stress distribution within a stock pile. In 1981, it was suggested from experimental work that the peak force at the base does not occur directly beneath the vertex of the pile, but at some intermediate point resulting in a ring of maximum pressure. With this in mind, any analytical solution pertaining to this problem has the potential to provide useful insight into this phenomenon. Here, we propose to utilize some recently determined exact parametric solutions of the governing equations for the continuum mechanical theory of granular materials for two and threedimensional stock piles. These solutions are valid provided sin f = 1, where f is the angle of internal friction, and we term such materials as "highly frictional". We note that there exists materials possessing angles of internal friction around 60 to 65 degrees, resulting in values of sin 0 equal to around 0.87 to 0.91. Further, the exact solutions presented here are potentially the leading terms in a perturbation solution for granular materials for which 1  sin f is close to zero. The model assumes that the stock pile is composed of two regions, namely an inner rigid region and an outer yield region. The exact parametric solution is applied to the outer yield region, and the solution is extended continuously into the inner rigid region. The results presented here extend previous work of the authors to the case of highly frictional granular solids.


2003 
Thamwattana N, Hill JM, 'Analytical stress and velocity fields for gravity flows of highly frictional granular materials', ACTA MECHANICA, 164 91112 (2003)


2003 
Hill JM, Thamwattana N, 'Two approximate analytical solutions for the kinematically determined velocity equations for granular solids', INTERNATIONAL JOURNAL OF NONLINEAR MECHANICS, 38 15231531 (2003)


2003 
Thamwattana N, Hill JM, 'Analytical solutions for tapering quadratic and cubic ratholes in highly frictional granular solids', INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 40 59235948 (2003)


Show 79 more journal articles 
Conference (14 outputs)
Year  Citation  Altmetrics  Link  

2019 
Georgiou F, Thamwattana N, Lamichhane BP, 'Modelling cell aggregation using a modified swarm model', 23rd International Congress on Modelling and Simulation  Supporting EvidenceBased Decision Making: The Role of Modelling and Simulation, MODSIM 2019 (2019) Copyright © 2019 The Modelling and Simulation Society of Australia and New Zealand Inc. All rights reserved. Cell aggregation and sorting are responsible for the formation, stabil... [more] Copyright © 2019 The Modelling and Simulation Society of Australia and New Zealand Inc. All rights reserved. Cell aggregation and sorting are responsible for the formation, stability, and breakdown of tissue. A key mechanism for cell aggregations and sorting is that of cellcell adhesion, a process by which cells bind or stick to each other through transmembrane proteins. This process is able to achieve cell sorting via the differential adhesion hypothesis (DAH) (Steinberg (1962b,a,c)). Armstrong et al. (2006) proposed a nonlocal advection model that was able to simulate the DAH. In their study, cells were modelled using a conservative system acting on cell density. The equations allowed for only two types of movement, random diffusive and directed adhesive movement with the adhesive movement taking into account cells within a finite sensing radius. Using the model with differing cell adhesion values they were able to simulate engulfment, partial engulfment, mixing, and sorting patterns between two cell types in both one and two dimensions. The aggregation of cells can be considered as a type of swarming, in that it is the collective behaviour of a large number of self propelled entities (Loan and Evans (1999)). Examples of macroscopic biological swarms include locust swarms, ungulate herds, fish schools, bird flocks, etc. Nonlocal swarming models have been used to successfully model these phenomena (see Bernoff and Topaz (2013)). Based on the principle of conservation of mass, a fixed population density moves at a velocity that arises as a result of social interactions (Mogilner and EdelsteinKeshet (1999)), giving rise to an equation of the form t + r(r(Q(x)) = 0; with Q(x) being a social potential function used to describe the social interactions between individuals. In this paper we look at the Armstrong et al. (2006) model of cellcell adhesion and recreate it by extending the swarm modelling techniques to equations of the form t + r(r(Q(x)f = 0: In doing so we find that by modelling in this way we are able to capture the same qualitative behaviour as the original model with a vastly reduced computational cost. We also derive a numerical scheme to simulate the model in one dimension in such a way that it can be easily adapted to other swarm problems. We find that the convergence rate of the numerical scheme is greater than 1.7 in all of the scenarios presented.


2018 
Maldon B, Lamichhane B, Thamwattana N, 'Numerical solutions for nonlinear partial differential equations arising from modelling dyesensitized solar cells', Newcastle, NSW (2018)


2017 
Dyer T, Thamwattana N, Cox B, McCoy J, 'ICTAM 2016', Intercalation of carbon nanotubes into a graphene sheet, Montreal, Canada (2017)


2010 
TranDuc T, Thamwattana N, Cox BJ, Hill JM, 'Adsorption of polycyclic aromatic hydrocarbons on graphite surfaces', COMPUTATIONAL MATERIALS SCIENCE, Hanoi, VIETNAM (2010)


2009  Thamwattana N, Cox BJ, Hill JM, 'Mathematical modelling for nanotube bundle oscillators', ADVANCED MATERIALS AND NANOTECHNOLOGY, PROCEEDINGS, Dunedin, NEW ZEALAND (2009)  
2009 
Baowan D, Cox BJ, Thamwattana N, Hill JM, 'Two Minimisation Approximations for Joining Carbon Nanostructures', IUTAM SYMPOSIUM ON MODELLING NANOMATERIALS AND NANOSYSTEMS, Aalborg, DENMARK (2009)


2009 
Thamwattana N, Cox BJ, Hill JM, 'Oscillation of carbon molecules inside carbon nanotube bundles', JOURNAL OF PHYSICSCONDENSED MATTER, Melbourne, AUSTRALIA (2009)


2008 
Thamwattana N, Cox BJ, Hill JM, 'Carbon Molecules Oscillating in Carbon Nanotube Bundles', 2008 INTERNATIONAL CONFERENCE ON NANOSCIENCE AND NANOTECHNOLOGY, Melbourne, AUSTRALIA (2008)


2008 
Cox BJ, Thamwattana N, Hill JM, 'Spherical and spheroidal fullerenes entering carbon nanotubes', CURRENT APPLIED PHYSICS, Wellington, NEW ZEALAND (2008)


2006 
Cox BJ, Thamwattana N, Hill JM, 'Modelling the induced force of attraction in electrorheological nanofluids', Proceedings of the 2006 International Conference on Nanoscience and Nanotechnology, ICONN (2006) The problem of electricfield induced force between spheres is fundamental to electrorheological fluids. In this paper we summarize recent work, and in particular present an exact... [more] The problem of electricfield induced force between spheres is fundamental to electrorheological fluids. In this paper we summarize recent work, and in particular present an exact solution to the electrostatic problem of dielectric spheres subject to an externally applied electric field. The numerical results are compared to published experimental data and the solution is shown to accurately predict the lowfrequency experimental results at all measured interstices and particularly is applicable to nanosized spheres in close proximity. This method is applicable to nonidentical spheres and results indicate a genuine maximum in the attractive force between spheres exists, which depends on relative particle size and the electrostatic permittivity of the particles and that of the medium. These maxima have not previously been reported in the literature and the existing published work of the present authors constitutes the first published material on this topic. © 2006 IEEE.


2006 
Cox BJ, Thamwattana N, Hill JM, 'Mathematical modelling for a C The discovery of fullerenes C60 and carbon nanotubes has created an enormous impact on nanotechnology. Because of their unique mechanical and electronic properties, such as low we... [more] The discovery of fullerenes C60 and carbon nanotubes has created an enormous impact on nanotechnology. Because of their unique mechanical and electronic properties, such as low weight, high strength, flexibility and thermal stability, fullerenes C60 and carbon nanotubes are of considerable interest to researchers from many scientific areas. One problem that has attracted much attention is the creation of gigahertz oscillators. While there are difficulties for micromechanical oscillators, or resonators, to reach a frequency in the gigahertz range, it is possible for nanomechanical systems to achieve this. A number of studies have found that the sliding of the innershell inside the outershell of a multiwalled carbon nanotube can generate oscillatory frequencies up to several gigahertz. In addition, it has been observed that the shorter the inner tube, the higher the frequency, leading to the introduction of a C60nanotube oscillator. Thus instead of multiwalled carbon nanotubes, high frequencies can be generated using a fullerene C60 oscillating inside a singlewalled carbon nanotube. In this paper, using the LennardJones potential, we determine the potential for an offset C60 molecule inside a singlewalled carbon nanotube, so as to determine its position with reference to the crosssection of the carbon nanotube. The condition for the C60 initially at rest outside the carbon nanotube to be sucked in and to start oscillating is also presented together with a mathematical model for the resulting oscillatory motion. This paper summarizes recent results obtained by the present authors. © 2006 IEEE.


2006  Cox GM, Thamwattana N, Hill JM, 'A survey of some mathematical results for highly frictional granular materials', MODERN TRENDS IN GEOMECHANICS, Vienna, AUSTRIA (2006)  
2006  Cox BJ, Thamwattana N, Hill JM, 'Modelling the induced force of attraction in electrorheological nanofluids', 2006 INTERNATIONAL CONFERENCE ON NANOSCIENCE AND NANOTECHNOLOGY, VOLS 1 AND 2, Brisbane, AUSTRALIA (2006)  
2006  Cox BJ, Thamwattana N, Hill JA, 'Mathematical modelling for a C60 carbon nanotube oscillator', 2006 INTERNATIONAL CONFERENCE ON NANOSCIENCE AND NANOTECHNOLOGY, VOLS 1 AND 2, Brisbane, AUSTRALIA (2006)  
Show 11 more conferences 
Grants and Funding
Summary
Number of grants  4 

Total funding  $1,293,724 
Click on a grant title below to expand the full details for that specific grant.
20191 grants / $5,000
Mathematics in Industry Study Group (MISG)$5,000
Funding body: Department of Industry
Funding body  Department of Industry 

Project Team  Professor Natalie Thamwattana 
Scheme  Conference Sponsorship Program 
Role  Lead 
Funding Start  2019 
Funding Finish  2019 
GNo  G1900652 
Type Of Funding  Scheme excluded from IGS 
Category  EXCL 
UON  Y 
20181 grants / $245,225
Modelling optimal electromaterial structures for energy applications$245,225
Funding body: ARC (Australian Research Council)
Funding body  ARC (Australian Research Council) 

Project Team  Professor Natalie Thamwattana, Professor Jim Hill, Mr Kyle Stevens 
Scheme  Discovery Projects 
Role  Lead 
Funding Start  2018 
Funding Finish  2019 
GNo  G1801016 
Type Of Funding  Aust Competitive  Commonwealth 
Category  1CS 
UON  Y 
20171 grants / $248,499
Modelling optimal electromaterial structures for energy applications $248,499
Funding body: ARC (Australian Research Council)
Funding body  ARC (Australian Research Council) 

Project Team  Ngamta Thamwattana and James M. Hill 
Scheme  Discovery Projects 
Role  Lead 
Funding Start  2017 
Funding Finish  2019 
GNo  
Type Of Funding  Aust Competitive  Commonwealth 
Category  1CS 
UON  N 
20071 grants / $795,000
Modelling appilcations of nanomaterials in biology and medicine$795,000
Funding body: ARC (Australian Research Council)
Funding body  ARC (Australian Research Council) 

Project Team  James M. Hill and Ngamta Thamwattana 
Scheme  Discovery Projects 
Role  Lead 
Funding Start  2007 
Funding Finish  2011 
GNo  
Type Of Funding  Aust Competitive  Commonwealth 
Category  1CS 
UON  N 
Research Supervision
Number of supervisions
Current Supervision
Commenced  Level of Study  Research Title  Program  Supervisor Type 

2018  PhD  Continuum Modelling of Eukaryotic Cells  PhD (Mathematics), Faculty of Science, The University of Newcastle  Principal Supervisor 
2018  PhD  Continuum Modelling of Carbon Materials for Energy Applications  PhD (Mathematics), Faculty of Science, The University of Newcastle  Principal Supervisor 
2018  PhD  Mathematical Modelling of DyeSensitised Solar Cells  PhD (Mathematics), Faculty of Science, The University of Newcastle  Principal Supervisor 
Research Collaborations
The map is a representation of a researchers coauthorship with collaborators across the globe. The map displays the number of publications against a country, where there is at least one coauthor based in that country. Data is sourced from the University of Newcastle research publication management system (NURO) and may not fully represent the authors complete body of work.
Country  Count of Publications  

Australia  95  
Thailand  14  
United States  7  
Saudi Arabia  3  
Singapore  3  
More... 
Professor Natalie Thamwattana
Position
Professor
School of Mathematical and Physical Sciences
Faculty of Science
Contact Details
natalie.thamwattana@newcastle.edu.au  
Phone  (02) 498 54081 
Office
Room  SR222 

Building  Social Sciences Building. 
Location  Callaghan University Drive Callaghan, NSW 2308 Australia 