Professor Natalie Thamwattana

Professor Natalie Thamwattana

Professor

School of Mathematical and Physical Sciences

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. These awards are recognition 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 high-quality fully-refereed 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 Carbon-based 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 (2017-2019) on modelling electromaterials for energy applications. In 2007-2011, 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 seven PhD students to successful timely completion, many of whom have gone on to become established researchers in their own right:

-Dr Barry Cox is a senior lecturer at the School of Mathematical Sciences, University of Adelaide;
-Dr Yue Chan is a lecturer in mathematics at the University of Nottingham, Ningbo, China;
-Dr Thien Tran-Duc is a research fellow at the Department of Mechanical Engineering, National
University of Singapore;
-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 four PhD students in the area of modelling in nanoscience and nanotechnology (1 at the University of Wollongong and 3 at the University of Newcastle).
 
Natalie is actively involved in research leadership. She is currently the Chair of NSW Branch of the Australian and New Zealand Industrial and Applied Mathematics, a division of the Australian Mathematical Society. She is also an elected member of the executive committee of the Australian Mathematical Society's Women in Mathematics Special Interest Group (WIMSIG). 

Natalie also contributes to the discipline through outreach programs. She has 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 research contribution in nanotechnology:
 
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 non-identical 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 anti-cancer 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 super-conducting 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 non-biological 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. 



Qualifications

  • Doctor of Philosophy, University of Wollongong

Keywords

  • applied mathematics
  • mechanics of granular materials
  • applied mathematical modelling
  • modelling nanostructures
  • nanomechanics

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
Edit

Publications

For publications that are currently unpublished or in-press, 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 carbon-based nanostructured materials (2017)

© 2017 Elsevier Inc. All rights reserved. Modelling and Mechanics of Carbon-based Nanostructured Materials sets out the principles of applied mathematical modeling in the topical ... [more]

© 2017 Elsevier Inc. All rights reserved. Modelling and Mechanics of Carbon-based Nanostructured Materials sets out the principles of applied mathematical modeling in the topical area of nanotechnology. It is purposely designed to be self-contained, 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 Lennard-Jones potential, in a carbon nanomaterials context. Includes worked examples and exercises to help readers reinforce what they have read.

DOI 10.1016/C2016-0-02653-0
Citations Scopus - 2

Chapter (1 outputs)

Year Citation Altmetrics Link
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 63-91 (2005)

Under certain circumstances, an industrial hopper which operates under the funnel-flow regime can be converted to the mass-flow regime with the addition of a flow-corrective inser... [more]

Under certain circumstances, an industrial hopper which operates under the funnel-flow regime can be converted to the mass-flow regime with the addition of a flow-corrective insert. This paper is concerned with calculating granular flow patterns near the outlet of hoppers that incorporate a particular type of insert, the cone-in-cone insert. The flow is considered to be quasi-static, and governed by the Coulomb-Mohr yield condition together with the non-dilatant double-shearing theory. In two-dimensions, the hoppers are wedge-shaped, and as such the formulation for the wedge-in-wedge hopper also includes the case of asymmetrical hoppers. A perturbation approach, valid for high angles of internal friction, is used for both two-dimensional 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.

DOI 10.1007/1-4020-4183-7_5

Journal article (73 outputs)

Year Citation Altmetrics Link
2018 Sripaturad P, Alshamarri NA, Thamwattana N, McCoy JA, Baowan D, 'Willmore energy for joining of carbon nanostructures', PHILOSOPHICAL MAGAZINE, 98 1511-1524 (2018) [C1]
DOI 10.1080/14786435.2018.1442029
Co-authors James Mccoy
2018 Dyer T, Thamwattana N, Cox B, 'Conformation of graphene folding around single-walled carbon nanotubes', JOURNAL OF MOLECULAR MODELING, 24 (2018) [C1]
DOI 10.1007/s00894-018-3630-y
2017 Al Garalleh H, Thamwattana N, Garaleh M, 'Modelling interaction between a methane molecule and biological channels', Journal of Computational and Theoretical Nanoscience, 14 3416-3421 (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 nano-sized 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 aquaporin-Z, aquaglyceroporin and aquaporin-1. 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 aquaporin-1 channels, but the repulsion occurs for the case of aquaporin-Z channel.

DOI 10.1166/jctn.2017.6644
2016 Sarapat P, Thamwattana N, Baowan D, 'Continuum modelling for adhesion between paint surfaces', INTERNATIONAL JOURNAL OF ADHESION AND ADHESIVES, 70 234-238 (2016)
DOI 10.1016/j.ijadhadh.2016.07.003
Citations Scopus - 1Web of Science - 1
2016 Al Garalleh H, Thamwattana N, Cox BJ, Hill JM, 'Encapsulation of L-Histidine Amino Acid Inside Single-Walled Carbon Nanotubes', JOURNAL OF BIOMATERIALS AND TISSUE ENGINEERING, 6 362-369 (2016)
DOI 10.1166/jbt.2016.1459
Citations Scopus - 1Web of Science - 3
2016 Tiangtrong P, Thamwattana N, Baowan D, 'Modelling water molecules inside cyclic peptide nanotubes', APPLIED NANOSCIENCE, 6 345-357 (2016)
DOI 10.1007/s13204-015-0436-4
Citations Web of Science - 1
2015 Al Garalleh H, Thamwattana N, Cox BJ, Hill JM, 'Modeling Interactions Between C-60 Antiviral Compounds and HIV Protease', BULLETIN OF MATHEMATICAL BIOLOGY, 77 184-201 (2015)
DOI 10.1007/s11538-014-0056-2
Citations Scopus - 2Web of Science - 2
2015 Thamwattana N, 'MODELLING ION, WATER AND ION-WATER CLUSTER ENTERING PEPTIDE NANOTUBES', ANZIAM JOURNAL, 57 62-78 (2015)
DOI 10.1017/S1446181115000164
2015 Al Garalleh H, Thamwattana N, Cox BJ, Hill JM, 'Interaction of Individual Ions, Ion-Water Clusters with Aquaglyceroporin and Aquaporin-1 Channels', JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, 12 1505-1511 (2015)
DOI 10.1166/jctn.2015.3921
2015 Dyer T, Thamwattana N, Jalili R, 'Modelling the interaction of graphene oxide using an atomistic-continuum model', RSC ADVANCES, 5 77062-77070 (2015)
DOI 10.1039/c5ra13353j
Citations Scopus - 5Web of Science - 5
2014 Baowana D, Thamwattana N, 'Modelling encapsulation of gold and silver nanoparticles inside lipid nanotubes', PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 396 149-154 (2014)
DOI 10.1016/j.physa.2013.11.003
Citations Scopus - 4Web of Science - 4
2014 Tran-Duc T, Thamwattana N, Baowan D, 'Modelling gas storage capacity for porous aromatic frameworks', Journal of Computational and Theoretical Nanoscience, 11 234-241 (2014)

This paper examines the gas storage capacity of recently developed high-porosity 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 high-porosity 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 PAF-301, PAF-302, PAF-303 and PAF-304 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 PAF-303 and PAF-304 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 gas-storage materials, our results show that it is not the dominating factor for determining gas-storage capacity of porous materials. A porous material with reasonably high porosity together with selectively highly-interacting components and a reasonable bulk density will have a higher storage capacity than materials with high porosities, such as PAF-304. Copyright © 2014 American Scientific Publishers All rights reserved.

DOI 10.1166/jctn.2014.3343
Citations Scopus - 1
2013 Thamwattana N, Thien T-D, Baowan D, 'Modelling interactions between a PBB and fullerenes', JOURNAL OF MATHEMATICAL CHEMISTRY, 51 1001-1022 (2013)
DOI 10.1007/s10910-012-0129-0
Citations Scopus - 1Web of Science - 1
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 2020-2032 (2013)
DOI 10.1007/s10910-013-0197-9
Citations Scopus - 8Web of Science - 6
2013 Al Garalleh H, Thamwattana N, Cox BJ, Hill JM, 'Modelling carbon dioxide molecule interacting with aquaglyceroporin and aquaporin-1 channels', JOURNAL OF MATHEMATICAL CHEMISTRY, 51 2317-2327 (2013)
DOI 10.1007/s10910-013-0240-x
Citations Scopus - 3Web of Science - 2
2013 Baowan D, Thamwattana N, 'Modelling selective separation of trypsin and lysozyme using mesoporous silica', MICROPOROUS AND MESOPOROUS MATERIALS, 176 209-214 (2013)
DOI 10.1016/j.micromeso.2013.04.011
Citations Scopus - 11Web of Science - 10
2013 Gerhardt-Bourke A, Thamwattana N, 'Comment on "Equilibrium conformation of polymer chains with noncircular cross section"', PHYSICAL REVIEW E, 87 (2013)
DOI 10.1103/PhysRevE.87.046601
Citations Scopus - 1
2013 Rahmat F, Thamwattana N, Hill JM, 'Modelling Lennard-Jones Interactions Between Two Peptide Rings', JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, 10 775-782 (2013)
DOI 10.1166/jctn.2013.2769
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 2722-2731 (2013)
DOI 10.1166/jctn.2013.3272
Citations Scopus - 6Web of Science - 5
2013 Thamwattana N, Baowan D, Cox BJ, 'Modelling bovine serum albumin inside carbon nanotubes', RSC ADVANCES, 3 23482-23488 (2013)
DOI 10.1039/c3ra43991g
Citations Scopus - 3Web of Science - 4
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, 19 597-611 (2012)

In this paper, we use a continuum approach together with the Lennard-Jones potential to determine the potential energy for an atom and a C 60 fullerene int... [more]

In this paper, we use a continuum approach together with the Lennard-Jones potential to determine the potential energy for an atom and a C 60 fullerene interacting with a single-layer graphene sheet. We also consider the interactions involving double-layer graphene structures. In order to explore the possibility of using double-layer graphene structures as a nano-carrier 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 single-layer 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 inter-layer 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 inter-layer spacing, the system is not stable as the energy is higher. Knowledge of the size of the inter-layer spacing may be particularly useful for the design of the double-layer graphene structures for drug delivery applications. Copyright © 2012 Watam Press.

2011 Thien T-D, Thamwattana N, Hill JM, 'Orientation of a benzene molecule inside a carbon nanotube', JOURNAL OF MATHEMATICAL CHEMISTRY, 49 1115-1127 (2011)
DOI 10.1007/s10910-011-9809-4
Citations Scopus - 6Web of Science - 1
2011 Baowan D, Thamwattana N, 'Modelling adsorption of a water molecule into various pore structures of silica gel', JOURNAL OF MATHEMATICAL CHEMISTRY, 49 2291-2307 (2011)
DOI 10.1007/s10910-011-9887-3
Citations Scopus - 3Web of Science - 3
2011 Thien T-D, Thamwattana N, Cox BJ, Hill JM, 'Encapsulation of a benzene molecule into a carbon nanotube', COMPUTATIONAL MATERIALS SCIENCE, 50 2720-2726 (2011)
DOI 10.1016/j.commatsci.2011.04.026
Citations Scopus - 7Web of Science - 3
2011 Thien T-D, Thamwattana N, 'Modeling encapsulation of acetylene molecules into carbon nanotubes', JOURNAL OF PHYSICS-CONDENSED MATTER, 23 (2011)
DOI 10.1088/0953-8984/23/22/225302
Citations Scopus - 3
2011 Rahmat F, Thamwattana N, Cox BJ, 'Modelling peptide nanotubes for artificial ion channels', NANOTECHNOLOGY, 22 (2011)
DOI 10.1088/0957-4484/22/44/445707
Citations Scopus - 11Web of Science - 11
2011 Chan Y, Thamwattana N, Hill JM, 'Axial buckling of multi-walled carbon nanotubes and nanopeapods', EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, 30 794-806 (2011)
DOI 10.1016/j.euromechsol.2011.05.001
Citations Scopus - 16Web of Science - 13
2011 Thien T-D, Thamwattana N, 'Modelling Carbon Nanostructures for Filtering and Adsorbing Polycyclic Aromatic Hydrocarbons', JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, 8 2072-2077 (2011)
DOI 10.1166/jctn.2011.1928
Citations Scopus - 1Web of Science - 2
2010 Thamwattana N, Cox BJ, Hill JM, 'Editorial: Special Issue on Mathematics and Mechanics in Nanotechnology', MATHEMATICS AND MECHANICS OF SOLIDS, 15 707-707 (2010)
DOI 10.1177/1081286510375345
2010 Thamwattana N, Hill JM, Baowan D, Cox BJ, 'A Review of Mathematical and Mechanical Modelling in Nanotechnology', MATHEMATICS AND MECHANICS OF SOLIDS, 15 708-717 (2010)
DOI 10.1177/1081286510375344
Citations Scopus - 2Web of Science - 2
2010 Tran-Duc T, Thamwattana N, Cox BJ, Hill JM, 'General Model for Molecular Interactions in a Benzene Dimer', MATHEMATICS AND MECHANICS OF SOLIDS, 15 782-799 (2010)
DOI 10.1177/1081286510375343
Citations Scopus - 5Web of Science - 5
2010 Tran-Duc T, Thamwattana N, Cox BJ, Hill JM, 'Modelling the interaction in a benzene dimer', PHILOSOPHICAL MAGAZINE, 90 1771-1785 (2010)
DOI 10.1080/14786430903476349
Citations Scopus - 8Web of Science - 6
2010 Rahmat F, Thamwattana N, Hill JM, 'Carbon nanotube oscillators for applications as nanothermometers', JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 43 (2010)
DOI 10.1088/1751-8113/43/40/405209
Citations Scopus - 5Web of Science - 2
2009 Chan Y, Thamwattana N, Hill JM, 'Restricted Three Body Problems at the Nanoscale', FEW-BODY SYSTEMS, 46 239-247 (2009)
DOI 10.1007/s00601-009-0070-3
Citations Scopus - 4Web of Science - 3
2009 Chan Y, Thamwattana N, Cox GM, Hill JM, 'Mechanics of nanoscale orbiting systems', JOURNAL OF MATHEMATICAL CHEMISTRY, 46 1271-1291 (2009)
DOI 10.1007/s10910-008-9516-y
Citations Scopus - 4Web of Science - 4
2009 Thamwattana N, Hill JM, 'Nanotube bundle oscillators: Carbon and boron nitride nanostructures', PHYSICA B-CONDENSED MATTER, 404 3906-3910 (2009)
DOI 10.1016/j.physb.2009.07.140
Citations Scopus - 18Web of Science - 18
2009 Thamwattana N, Baowan D, Hill JM, 'Continuum Modelling for Interactions Between Fullerenes and Other Carbon Nanostructures', JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, 6 972-984 (2009)
DOI 10.1166/jctn.2009.1132
Citations Scopus - 2Web of Science - 3
2009 Chan Y, Thamwattana N, Hill JM, 'Magnetic Field Driven Nano Tippe Top', JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, 6 1013-1020 (2009)
DOI 10.1166/jctn.2009.1137
Citations Scopus - 2Web of Science - 2
2008 Cox GM, Thamwattana N, McCue SW, Hill JM, 'Coulomb-Mohr Granular Materials: Quasi-static Flows and the Highly Frictional Limit', APPLIED MECHANICS REVIEWS, 61 (2008)
DOI 10.1115/1.2987874
Citations Scopus - 6Web of Science - 4
2008 Baowan D, Thamwattana N, Hill JM, 'Suction energy and offset configuration for double-walled carbon nanotubes', COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 13 1431-1447 (2008)
DOI 10.1016/j.cnsns.2007.01.002
Citations Scopus - 28Web of Science - 21
2008 Cox BJ, Thamwattana N, Hill JM, 'Mechanics of nanotubes oscillating in carbon nanotube bundles', PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 464 691-710 (2008)
DOI 10.1098/rspa.2007.0247
Citations Scopus - 37Web of Science - 27
2008 Thamwattana N, Hill JM, 'Oscillation of nested fullerenes (carbon onions) in carbon nanotubes', JOURNAL OF NANOPARTICLE RESEARCH, 10 665-677 (2008)
DOI 10.1007/s11051-007-9300-0
Citations Scopus - 18Web of Science - 14
2008 Cox BJ, Hilder TA, Baowan D, Thamwattana N, Hill JM, 'Continuum modelling of gigahertz nano-oscillators', INTERNATIONAL JOURNAL OF NANOTECHNOLOGY, 5 195-217 (2008)
DOI 10.1504/IJNT.2008.016916
Citations Scopus - 8Web of Science - 4
2008 Cox BJ, Thamwattana N, Hill JM, 'Mathematical modelling of electrorheological nanofluids', INTERNATIONAL JOURNAL OF NANOTECHNOLOGY, 5 243-276 (2008)
DOI 10.1504/IJNT.2008.017453
2008 Cox BJ, Thamwattana N, Hill JM, 'Mathematical modelling of electrorheological nanofluids', International Journal of Nanotechnology, 5 243-276 (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 re-expansion 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 re-expansion 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)
DOI 10.1103/PhysRevE.78.013901
Citations Scopus - 10Web of Science - 8
2008 Cox BJ, Thamwattana N, Hill JM, 'Orientation of spheroidal fullerenes inside carbon nanotubes with potential applications as memory devices in nano-computing', JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 41 (2008)
DOI 10.1088/1751-8113/41/23/235209
Citations Scopus - 23Web of Science - 18
2008 Baowan D, Thamwattana N, Hill JM, 'Zigzag and spiral configurations for fullerenes in carbon nanotubes (vol 40, pg 7543, 2007)', JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 41 (2008)
DOI 10.1088/1751-8113/41/29/299801
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 (7543-7556))', Journal of Physics A: Mathematical and Theoretical, 41 (2008)
DOI 10.1088/1751-8121/41/29/299801
2008 Thamwattana N, McCoy JA, Hill JM, 'Energy density functions for protein structures', QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 61 431-451 (2008)
DOI 10.1093/qjmam/hbn012
Citations Scopus - 24Web of Science - 20
Co-authors James Mccoy
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, 60 231-253 (2007)
DOI 10.1093/qjmam/hbm005
Citations Scopus - 19Web of Science - 15
2007 Cox BJ, Thamwattana N, Hill JM, 'Electrostatic force between coated conducting spheres with applications to electrorheological nanofluids', JOURNAL OF ELECTROSTATICS, 65 680-688 (2007)
DOI 10.1016/j.elstat.2007.05.004
Citations Scopus - 4Web of Science - 3
2007 Thamwattana N, Hill JM, 'Continuum modelling for carbon and boron nitride nanostructures', JOURNAL OF PHYSICS-CONDENSED MATTER, 19 (2007)
DOI 10.1088/0953-8984/19/40/406209
Citations Scopus - 18Web of Science - 14
2007 Cox BJ, Thamwattana N, Hill JM, 'Mechanics of atoms and fullerenes in single-walled carbon nanotubes. I. Acceptance and suction energies', PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 463 461-476 (2007)
DOI 10.1098/rspa.2006.1771
Citations Scopus - 149Web of Science - 136
2007 Cox BJ, Thamwattana N, Hill JM, 'Mechanics of atoms and fullerenes in single-walled carbon nanotubes. II. Oscillatory behaviour', PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 463 477-494 (2007)
DOI 10.1098/rspa.2006.1772
Citations Scopus - 111Web of Science - 102
2007 Cox BJ, Thamwattana N, Hill JM, 'Mechanics of atoms and fullerenes in single-walled carbon nanotubes. I. Acceptance and suction energies (vol 463, pg 461, 2006)', PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 463 3395-3395 (2007)
Citations Web of Science - 1
2007 Cox BJ, Thamwattana N, Hill JM, 'Mechanics of atoms and fullerenes in single-walled carbon nanotubes. II. Oscillatory behaviour (vol 463, pg 477, 2006)', PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 463 3395-3395 (2007)
Citations Web of Science - 1
2007 Baowan D, Thamwattana N, Hill JM, 'Continuum modelling of spherical and spheroidal carbon onions', EUROPEAN PHYSICAL JOURNAL D, 44 117-123 (2007)
DOI 10.1140/epjd/e2007-00159-8
Citations Scopus - 23Web of Science - 19
2007 Baowan D, Thamwattana N, Hill JM, 'Zigzag and spiral configurations for fullerenes in carbon nanotubes', JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 40 7543-7556 (2007)
DOI 10.1088/1751-8113/40/27/008
Citations Scopus - 13Web of Science - 13
2007 Cox BJ, Thamwattana N, Hill JM, 'Mechanics of fullerenes oscillating in carbon nanotube bundles', JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 40 13197-13208 (2007)
DOI 10.1088/1751-8113/40/44/001
Citations Scopus - 18Web of Science - 17
2007 Baowan D, Thamwattana N, Hill JM, 'Encapsulation of C-60 fullerenes into single-walled carbon nanotubes: Fundamental mechanical principles and conventional applied mathematical modeling', PHYSICAL REVIEW B, 76 (2007)
DOI 10.1103/PhysRevB.76.155411
Citations Scopus - 18Web of Science - 16
2006 Cox BJ, Thamwattana N, Hill JM, 'Electric field-induced force between two identical uncharged spheres', APPLIED PHYSICS LETTERS, 88 (2006)
DOI 10.1063/1.2185607
Citations Scopus - 21Web of Science - 19
2006 Cox BJ, Thamwattana N, Hill JM, 'Maximising the electrorheological effect for bidisperse nanofluids from the electrostatic force between two particles', RHEOLOGICA ACTA, 45 909-917 (2006)
DOI 10.1007/s00397-006-0084-4
Citations Scopus - 6Web of Science - 6
2005 Thamwattana N, 'Some analytical solutions for problems involving highly frictional granular materials', BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 71 527-528 (2005)
DOI 10.1017/S0004972700038533
2005 Thamwattana N, 'Some analytical solutions for problems involving highly frictional granular materials', Bulletin of the Australian Mathematical Society, 71 527-528 (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 63-91 (2005)
DOI 10.1007/s10665-004-7952-7
Citations Scopus - 2Web of Science - 2
2005 Thamwattana N, Hill JM, 'Perturbation solutions for highly frictional granular media', PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 461 21-42 (2005)
DOI 10.1098/rspa.2004.1368
Citations Scopus - 4Web of Science - 4
2004 Cox GM, Hill JN, Thamwattana N, 'A formal exact mathematical solution for a sloping rat-hole in a highly frictional granular solid', ACTA MECHANICA, 170 127-147 (2004)
DOI 10.1007/s00707-004-0118-x
Citations Scopus - 4Web of Science - 5
2004 Thamwattana N, Hill JM, 'Stress distributions within curved highly frictional granular stockpiles', QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 57 447-466 (2004)
DOI 10.1093/qjmam/57.3.447
Citations Scopus - 1Web of Science - 3
2004 Thamwattana N, Cox GM, Hill JM, 'Stress distributions in highly frictional granular heaps', Zeitschrift fur Angewandte Mathematik und Physik, 55 330-356 (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 three-dimensional 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.

DOI 10.1007/s00033-003-3080-x
Citations Scopus - 4
2003 Thamwattana N, Hill JM, 'Analytical stress and velocity fields for gravity flows of highly frictional granular materials', ACTA MECHANICA, 164 91-112 (2003)
DOI 10.1007/s00707-003-0012-y
Citations Scopus - 8Web of Science - 7
2003 Hill JM, Thamwattana N, 'Two approximate analytical solutions for the kinematically determined velocity equations for granular solids', INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 38 1523-1531 (2003)
DOI 10.1016/S0020-7462(02)00115-4
2003 Thamwattana N, Hill JM, 'Analytical solutions for tapering quadratic and cubic rat-holes in highly frictional granular solids', INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 40 5923-5948 (2003)
DOI 10.1016/S0020-7683(03)00395-0
Citations Scopus - 6Web of Science - 6
Show 70 more journal articles

Conference (11 outputs)

Year Citation Altmetrics Link
2010 Tran-Duc T, Thamwattana N, Cox BJ, Hill JM, 'Adsorption of polycyclic aromatic hydrocarbons on graphite surfaces', COMPUTATIONAL MATERIALS SCIENCE, Hanoi, VIETNAM (2010)
DOI 10.1016/j.commatsci.2010.03.001
Citations Scopus - 11Web of Science - 10
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)
DOI 10.1007/978-1-4020-9557-3_12
2009 Thamwattana N, Cox BJ, Hill JM, 'Oscillation of carbon molecules inside carbon nanotube bundles', JOURNAL OF PHYSICS-CONDENSED MATTER, Melbourne, AUSTRALIA (2009)
DOI 10.1088/0953-8984/21/14/144214
Citations Scopus - 13Web of Science - 9
2008 Thamwattana N, Cox BJ, Hill JM, 'Carbon Molecules Oscillating in Carbon Nanotube Bundles', 2008 INTERNATIONAL CONFERENCE ON NANOSCIENCE AND NANOTECHNOLOGY, Melbourne, AUSTRALIA (2008)
DOI 10.1109/ICONN.2008.4639289
Citations Scopus - 5Web of Science - 3
2008 Cox BJ, Thamwattana N, Hill JM, 'Spherical and spheroidal fullerenes entering carbon nanotubes', CURRENT APPLIED PHYSICS, Wellington, NEW ZEALAND (2008)
DOI 10.1016/j.cap.2007.10.009
Citations Scopus - 16Web of Science - 14
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 electric-field 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 electric-field 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 low-frequency 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.

DOI 10.1109/ICONN.2006.340716
Citations Scopus - 1
2006 Cox BJ, Thamwattana N, Hill JM, 'Mathematical modelling for a C60 carbon nanotube oscillator', Proceedings of the 2006 International Conference on Nanoscience and Nanotechnology, ICONN (2006)

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 inner-shell inside the outer-shell of a multi-walled 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 C60-nanotube oscillator. Thus instead of multi-walled carbon nanotubes, high frequencies can be generated using a fullerene C60 oscillating inside a single-walled carbon nanotube. In this paper, using the Lennard-Jones potential, we determine the potential for an offset C60 molecule inside a single-walled carbon nanotube, so as to determine its position with reference to the cross-section 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.

DOI 10.1109/ICONN.2006.340555
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 C-60 carbon nanotube oscillator', 2006 INTERNATIONAL CONFERENCE ON NANOSCIENCE AND NANOTECHNOLOGY, VOLS 1 AND 2, Brisbane, AUSTRALIA (2006)
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Grants and Funding

Summary

Number of grants 2
Total funding $1,043,499

Click on a grant title below to expand the full details for that specific grant.


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

Nanomaterials, especially carbon nanotubes, create the possibility of many new technologies, devices and medicines. Nanomaterials will revolutionise treatment of many illnesses, including cancer, and may form the basis of treatments for exotic viruses, such as bird flu and those arising from biological terrorism. This proposal will utilize applied mathematics and advanced continuum mechanics to accurately quantify the underlying complex physical processes of nanocarriers used in disease detection, targeted drug and gene delivery and cancer therapy. Such mathematical modelling will accelerate progress in these vital areas of nanotechnology, providing valuable insights and unique perspectives, which are otherwise unobtainable

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
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Research Supervision

Number of supervisions

Completed0
Current2

Total current UON EFTSL

PhD1.4

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 Mathematical Modeling of Invasive Species and Further Applications in Biological Problems PhD (Mathematics), Faculty of Science, The University of Newcastle Principal Supervisor
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Research Collaborations

The map is a representation of a researchers co-authorship with collaborators across the globe. The map displays the number of publications against a country, where there is at least one co-author 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 82
Thailand 11
United States 6
Saudi Arabia 2
Singapore 2
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Professor Natalie Thamwattana

Position

Professor
School of Mathematical and Physical Sciences
Faculty of Science

Contact Details

Email natalie.thamwattana@newcastle.edu.au
Phone (02) 498 54081

Office

Room MC159
Building McMullin Building
Location Callaghan
University Drive
Callaghan, NSW 2308
Australia
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