| 2024 |
Athuraliya S, Indraratna B, Medawela S, Rowe RK, Thamwattana N, 'Modelling biogeochemical clogging affecting piezometers in acid sulfate soil terrain', Canadian Geotechnical Journal, 61 149-164 (2024) [C1]
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Nova |
| 2024 |
Sripaturad P, Thamwattana N, Karton A, Stevens K, Baowan D, 'Adsorption of corannulene on graphene', Carbon Trends, 15 100334-100334 (2024)
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| 2024 |
Thamwattana N, Karton A, Sripaturad P, Stevens K, Baowan D, 'Orientation of Corannulenes inside Carbon Nanotubes', Advanced Theory and Simulations, 7 (2024) [C1]
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| 2024 |
Rodrigo M, Thamwattana N, 'Analytical approach to solving linear diffusion-advection-reaction equations with local and nonlocal boundary conditions', MATHEMATICAL METHODS IN THE APPLIED SCIENCES, [C1]
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Nova |
| 2023 |
Baowan D, Thamwattana N, 'Modeling Ultrafast Transport of Water Clusters in Carbon Nanotubes', ACS Omega, 8 27366-27374 (2023) [C1]
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Nova |
| 2023 |
Tran-Duc T, Meylan MH, Thamwattana N, 'Smoothed particle hydrodynamics simulations for wave induced ice floe melting', Physics of Fluids, 35 (2023) [C1]
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Nova |
| 2023 |
Meylan M, Bissaker E, Orozovic O, Georgiou F, Marsh T, Hill J, et al., 'Pneumatic Conveying', ANZIAM Journal, 63 M6-M32 [C1]
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Nova |
| 2023 |
Sripaturad P, Karton A, Stevens K, Thamwattana N, Baowan D, Cox BJ, 'Catalytic effect of graphene on the inversion of corannulene using a continuum approach with the Lennard-Jones potential', Nanoscale Advances, 5 4571-4578 [C1]
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Nova |
| 2023 |
Stevens K, Thamwattana N, Thien T-D, 'Continuum Modeling with Functional Lennard-Jones Parameters for DNA-Graphene Interactions', ADVANCED THEORY AND SIMULATIONS, 6 (2023) [C1]
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Nova |
| 2023 |
Thamwattana N, Meylan MH, Roberts AJ, 'Proceedings of the 2021 Mathematics in Industry Study Group', ANZIAM Journal, 63 M1-M5
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| 2023 |
Medawela S, Armaghani DJ, Indraratna B, Kerry Rowe R, Thamwattana N, 'Development of an advanced machine learning model to predict the pH of groundwater in permeable reactive barriers (PRBs) located in acidic terrain', Computers and Geotechnics, 161 105557-105557 (2023) [C1]
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Nova |
| 2022 |
Thamwattana N, Meylan M, Roberts AJ, 'Proceedings of the 2020 Mathematics in Industry Study Group', ANZIAM Journal, 62 M89-M111
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| 2022 |
Thamwattana N, Meylan MH, Roberts AJ, 'Proceedings of the 2022 Mathematics in Industry Study Group', ANZIAM Journal, 64 M1-M19
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| 2022 |
Stevens K, Thamwattana N, Tran-Duc T, 'Continuum Modeling with Functional Lennard-Jones Parameters for Methane Storage inside Various Carbon Nanostructures', ACS OMEGA, 7 29773-29786 (2022) [C1]
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Nova |
| 2022 |
Thien T-D, Meylan MH, Thamwattana N, 'NUMERICAL SIMULATIONS FOR LARGELY DEFORMED BEAMS AND RINGS ADOPTING A NONTENSILE SMOOTHED PARTICLE HYDRODYNAMICS ALGORITHM', ANZIAM JOURNAL, 64 355-379 (2022) [C1]
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Nova |
| 2022 |
Hocking G, Sweatman W, Maldon B, Boral S, Braun P, Kurihara H, et al., 'Aerodynamics and Control of Next Generation Electric Rotorcraft', ANZIAM Journal, 62 M42-M72 [C1]
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Nova |
| 2022 |
Georgiou F, Buhl C, Green JEF, Lamichhane B, Thamwattana N, 'Modelling foraging competition between solitarious and gregarious organisms in increasingly heterogeneous environments', JOURNAL OF INSECT PHYSIOLOGY, 143 [C1]
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Nova |
| 2022 |
Baowan D, Thamwattana N, Tran-Duc T, 'Critical sizes for PET cylindrical and hourglass shaped pores for selective ion channels', PHYSICA B-CONDENSED MATTER, 633 (2022) [C1]
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Nova |
| 2022 |
Thien T-D, Meylan MH, Thamwattana N, 'Dynamical response of a floating plate to water waves using a smoothed particle hydrodynamics algorithm for nonlinear elasticity', PHYSICS OF FLUIDS, 34 (2022) [C1]
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Nova |
| 2022 |
Georgiou FH, Lamichhane B, Thamwattana N, Buhl J, Green E, 'A numerical scheme for non-local aggregation with non-linear diffusion and approximations of social potential', ANZIAM Journal, 62 C242-C255 (2022) [C1]
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Nova |
| 2021 |
Georgiou F, Buhl J, Green JEF, Lamichhane B, Thamwattana N, 'Modelling locust foraging: How and why food affects group formation (vol 17, e1008353, 2021)', PLOS COMPUTATIONAL BIOLOGY, 17 (2021)
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| 2021 |
Georgiou F, Buhl J, Green JEF, Lamichhane B, Thamwattana N, 'Modelling locust foraging: How and why food affects group formation', PLoS Computational Biology, 17 (2021) [C1]
Locusts are short horned grasshoppers that exhibit two behaviour types depending on their local population density. These are: solitarious, where they will actively avoid other lo... [more] Locusts are short horned grasshoppers that exhibit two behaviour types depending on their local population density. These are: solitarious, where they will actively avoid other locusts, and gregarious where they will seek them out. It is in this gregarious state that locusts can form massive and destructive flying swarms or plagues. However, these swarms are usually preceded by the aggregation of juvenile wingless locust nymphs. In this paper we attempt to understand how the distribution of food resources affect the group formation process. We do this by introducing a multi-population partial differential equation model that includes non-local locust interactions, local locust and food interactions, and gregarisation. Our results suggest that, food acts to increase the maximum density of locust groups, lowers the percentage of the population that needs to be gregarious for group formation, and decreases both the required density of locusts and time for group formation around an optimal food width. Finally, by looking at foraging efficiency within the numerical experiments we find that there exists a foraging advantage to being gregarious.
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Nova |
| 2021 |
Rodrigo MR, Thamwattana N, 'A unified analytical approach to fixed and moving boundary problems for the heat equation', Mathematics, 9 (2021) [C1]
Fixed and moving boundary problems for the one-dimensional heat equation are considered. A unified approach to solving such problems is proposed by embedding a given initialbounda... [more] Fixed and moving boundary problems for the one-dimensional heat equation are considered. A unified approach to solving such problems is proposed by embedding a given initialboundary value problem into an appropriate initial value problem on the real line with arbitrary but given functions, whose solution is known. These arbitrary functions are determined by imposing that the solution of the initial value problem satisfies the given boundary conditions. Exact analytical solutions of some moving boundary problems that have not been previously obtained are provided. Moreover, examples of fixed boundary problems over semi-infinite and bounded intervals are given, thus providing an alternative approach to the usual methods of solution.
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Nova |
| 2021 |
Tran-Duc T, Ho T, Thamwattana N, 'A smoothed particle hydrodynamics study on effect of coarse aggregate on self-compacting concrete flows', International Journal of Mechanical Sciences, 190 (2021) [C1]
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Nova |
| 2021 |
Maldon B, Lamichhane BP, Thamwattana N, 'NUMERICAL SOLUTIONS to A FRACTIONAL DIFFUSION EQUATION USED in MODELLING DYE-SENSITIZED SOLAR CELLS', ANZIAM Journal, 63 420-433 (2021) [C1]
Dye-sensitized solar cells consistently provide a cost-effective avenue for sources of renewable energy, primarily due to their unique utilization of nanoporous semiconductors. Th... [more] Dye-sensitized solar cells consistently provide a cost-effective avenue for sources of renewable energy, primarily due to their unique utilization of nanoporous semiconductors. Through mathematical modelling, we are able to uncover insights into electron transport to optimize the operating efficiency of the dye-sensitized solar cells. In particular, fractional diffusion equations create a link between electron density and porosity of the nanoporous semiconductors. We numerically solve a fractional diffusion model using a finite-difference method and a finite-element method to discretize space and an implicit finite-difference method to discretize time. Finally, we calculate the accuracy of each method by evaluating the numerical errors under grid refinement.
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Nova |
| 2020 |
Maldon B, Thamwattana N, 'A Fractional Diffusion Model for Dye-Sensitized Solar Cells', Molecules, 25 (2020) [C1]
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Nova |
| 2020 |
Stevens K, Thamwattana N, Tran-Duc T, 'New functional Lennard-Jones parameters for heterogeneous molecules', Journal of Applied Physics, 128 (2020) [C1]
Continuum modeling using the Lennard-Jones potential has been shown to provide a good estimation for the interaction energy between regular-shaped homogeneous molecules comprising... [more] Continuum modeling using the Lennard-Jones potential has been shown to provide a good estimation for the interaction energy between regular-shaped homogeneous molecules comprising the same type of atoms. However, this method may not be accurate for heterogeneous molecules, which are made up of more than one chemical element. The traditional method to deal with this involves approximating the molecule via multiple surfaces in a piecemeal fashion. While this approach works well for small sized molecules, calculations become intensive for large sized molecules as a large number of sums from multiple surface interactions are involved. To address this issue, we propose a new model that approximates a heterogeneous molecule with a single surface or volume, where attractive and repulsive constants (A and B) in the Lennard-Jones potential are replaced by functions A (r) and B (r), which depend on the parameterization of the surface r. We comment that this technique is suitable for regular-shaped nanostructures where their heterogeneity can be modeled by surface (or volume) parameterization. Validation of the new approach is carried out via two problems, namely, carbon nanotube-methane and carbon nanotube-coronene interactions. For coronene and methane, which are assumed to be radially symmetric, we propose A (r) and B (r) to be sigmoidal functions for which the interaction strength decreases from the inner region of the carbon atoms toward the outer region of the hydrogen atoms. Our results for both cases show that using the sigmoidal profiles for A (r) and B (r) gives rise to interaction energies that are in better agreement with those obtained from molecular dynamics studies compared to results using constant A and B. The new approach provides a significant improvement to the current continuum modeling using the Lennard-Jones potential.
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Nova |
| 2020 |
Georgiou F, Thamwattana N, 'Modelling phagocytosis based on cell cell adhesion and prey predator relationship', Mathematics and Computers in Simulation, 171 52-64 (2020) [C1]
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Nova |
| 2020 |
Tran-Duc T, Phan-Thien N, Thamwattana N, 'On permeability of corrugated pore membranes', AIP Advances, 10 (2020) [C1]
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Nova |
| 2020 |
Stevens K, Tran-Duc T, Thamwattana N, Hill JM, 'Continuum Modelling for Interacting Coronene Molecules with a Carbon Nanotube.', Nanomaterials, 10 (2020) [C1]
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Nova |
| 2020 |
Maldon B, Thamwattana N, 'Review of diffusion models for charge-carrier densities in dye-sensitized solar cells', Journal of Physics Communications, 4 1-18 (2020) [C1]
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Nova |
| 2020 |
Sarapat P, Thamwattana N, Cox BJ, Baowan D, 'Modelling carbon nanocones for selective filter', Journal of Mathematical Chemistry, 58 1650-1662 (2020) [C1]
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Nova |
| 2020 |
Cox B, Dyer T, Thamwattana N, 'A variational model for conformation of graphene wrinkles formed on a shrinking solid metal substrate', Materials Research Express, 7 (2020) [C1]
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Nova |
| 2020 |
Tran-Duc T, Meylan MH, Thamwattana N, Lamichhane BP, 'Wave Interaction and Overwash with a Flexible Plate by Smoothed Particle Hydrodynamics', WATER, 12 (2020) [C1]
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Nova |
| 2020 |
Stevens K, Tran-Duc T, Thamwattana N, Hill JM, 'Modeling interactions between graphene and heterogeneous molecules', Computation, 8 1-13 (2020) [C1]
The Lennard¿Jones potential and a continuum approach can be used to successfully model interactions between various regular shaped molecules and nanostructures. For single atomic ... [more] The Lennard¿Jones potential and a continuum approach can be used to successfully model interactions between various regular shaped molecules and nanostructures. For single atomic species molecules, the interaction can be approximated by assuming a uniform distribution of atoms over surfaces or volumes, which gives rise to a constant atomic density either over or throughout the molecule. However, for heterogeneous molecules, which comprise more than one type of atoms, the situation is more complicated. Thus far, two extended modeling approaches have been considered for heterogeneous molecules, namely a multi-surface semi-continuous model and a fully continuous model with average smearing of atomic contribution. In this paper, we propose yet another modeling approach using a single continuous surface, but replacing the atomic density and attractive and repulsive constants in the Lennard¿Jones potential with functions, which depend on the heterogeneity across the molecules, and the new model is applied to study the adsorption of coronene onto a graphene sheet. Comparison of results is made between the new model and two other existing approaches as well as molecular dynamics simulations performed using the LAMMPS molecular dynamics simulator. We find that the new approach is superior to the other continuum models and provides excellent agreement with molecular dynamics simulations.
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Nova |
| 2020 |
Indraratna B, Medawela S, Rowe RK, Thamwattana N, Heitor A, 'Biogeochemical Clogging of Permeable Reactive Barriers in Acid-Sulfate Soil Floodplain', Journal of Geotechnical and Geoenvironmental Engineering, 146 (2020) [C1]
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Nova |
| 2020 |
Maldon B, Thamwattana N, Edwards M, 'Exploring nonlinear diffusion equations for modelling dye-sensitized solar cells', Entropy, 22 (2020) [C1]
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Nova |
| 2020 |
Putthikorn S, Tran-Duc T, Thamwattana N, Hill JM, Baowan D, 'Interacting Ru(bpy)2+ 3 dye molecules and TiO2 semiconductor in dye-sensitized solar cells', Mathematics, 8 (2020) [C1]
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Nova |
| 2019 |
Thamwattana N, Sarapat P, Chan Y, 'Mechanics and dynamics of lysozyme immobilisation inside nanotubes', JOURNAL OF PHYSICS-CONDENSED MATTER, 31 (2019) [C1]
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Nova |
| 2019 |
Georgiou F, Lamichhane B, Thamwattana N, 'An adaptive numerical scheme for a partial integro-differential equation', ANZIAM Journal, 60 C187-C200 (2019) [C1]
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Nova |
| 2019 |
Maldon B, Thamwattana N, 'An analytical solution for charge carrier densities in dye-sensitized solar cells', Journal of Photochemistry and Photobiology A: Chemistry, 370 41-50 (2019) [C1]
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Nova |
| 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]
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Nova |
| 2018 |
Dyer T, Thamwattana N, Cox B, 'Conformation of graphene folding around single-walled carbon nanotubes', JOURNAL OF MOLECULAR MODELING, 24 (2018) [C1]
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Nova |
| 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, 25 307-339 (2018) [C1]
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Nova |
| 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)
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, in... [more] 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.
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| 2016 |
Sarapat P, Thamwattana N, Baowan D, 'Continuum modelling for adhesion between paint surfaces', INTERNATIONAL JOURNAL OF ADHESION AND ADHESIVES, 70 234-238 (2016) [C1]
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| 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) [C1]
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| 2016 |
Tiangtrong P, Thamwattana N, Baowan D, 'Modelling water molecules inside cyclic peptide nanotubes', APPLIED NANOSCIENCE, 6 345-357 (2016) [C1]
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| 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)
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| 2015 |
Thamwattana N, 'MODELLING ION, WATER AND ION-WATER CLUSTER ENTERING PEPTIDE NANOTUBES', ANZIAM JOURNAL, 57 62-78 (2015)
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| 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)
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| 2015 |
Dyer T, Thamwattana N, Jalili R, 'Modelling the interaction of graphene oxide using an atomistic-continuum model', RSC ADVANCES, 5 77062-77070 (2015)
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| 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)
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| 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.
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| 2014 |
Rahmat F, Thamwattana N, 'Encapsulation of a Chloroform Molecule in a Peptide Nanotube', Advances in Bioscience and Biotechnology, 05 748-757 (2014)
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| 2014 |
Chan Y, Thamwattana N, Hill JM, 'Carbon Nanotubes as a Nonlinear Buckled Beam for Nanoelectromechanical Systems', Advanced Materials Research, 1082 535-538
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| 2013 |
Thamwattana N, Thien T-D, Baowan D, 'Modelling interactions between a PBB and fullerenes', JOURNAL OF MATHEMATICAL CHEMISTRY, 51 1001-1022 (2013)
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| 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)
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| 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)
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| 2013 |
Baowan D, Thamwattana N, 'Modelling selective separation of trypsin and lysozyme using mesoporous silica', MICROPOROUS AND MESOPOROUS MATERIALS, 176 209-214 (2013)
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| 2013 |
Gerhardt-Bourke A, Thamwattana N, 'Comment on "Equilibrium conformation of polymer chains with noncircular cross section"', PHYSICAL REVIEW E, 87 (2013)
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| 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)
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| 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)
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| 2013 |
Thamwattana N, Baowan D, Cox BJ, 'Modelling bovine serum albumin inside carbon nanotubes', RSC ADVANCES, 3 23482-23488 (2013)
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| 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 interacting with a single-l... [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.
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| 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)
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| 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)
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| 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)
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| 2011 |
Thien T-D, Thamwattana N, 'Modeling encapsulation of acetylene molecules into carbon nanotubes', JOURNAL OF PHYSICS-CONDENSED MATTER, 23 (2011)
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| 2011 |
Rahmat F, Thamwattana N, Cox BJ, 'Modelling peptide nanotubes for artificial ion channels', NANOTECHNOLOGY, 22 (2011)
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| 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)
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| 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)
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| 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)
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| 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)
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| 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)
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| 2010 |
Tran-Duc T, Thamwattana N, Cox BJ, Hill JM, 'Modelling the interaction in a benzene dimer', PHILOSOPHICAL MAGAZINE, 90 1771-1785 (2010)
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| 2010 |
Rahmat F, Thamwattana N, Hill JM, 'Carbon nanotube oscillators for applications as nanothermometers', JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 43 (2010)
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| 2009 |
Chan Y, Thamwattana N, Hill JM, 'Restricted Three Body Problems at the Nanoscale', FEW-BODY SYSTEMS, 46 239-247 (2009)
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| 2009 |
Chan Y, Thamwattana N, Cox GM, Hill JM, 'Mechanics of nanoscale orbiting systems', JOURNAL OF MATHEMATICAL CHEMISTRY, 46 1271-1291 (2009)
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| 2009 |
Thamwattana N, Hill JM, 'Nanotube bundle oscillators: Carbon and boron nitride nanostructures', PHYSICA B-CONDENSED MATTER, 404 3906-3910 (2009)
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| 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)
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| 2009 |
Chan Y, Thamwattana N, Hill JM, 'Magnetic Field Driven Nano Tippe Top', JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, 6 1013-1020 (2009)
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| 2009 |
Chan Y, Thamwattana N, Hill JM, 'Spiral motion of carbon atoms and C<SUB align=right>60 fullerenes inside single-walled carbon nanotubes', International Journal of Theoretical and Applied Multiscale Mechanics, 1 176-176 (2009)
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| 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)
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| 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)
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| 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)
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| 2008 |
Thamwattana N, Hill JM, 'Oscillation of nested fullerenes (carbon onions) in carbon nanotubes', JOURNAL OF NANOPARTICLE RESEARCH, 10 665-677 (2008)
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| 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)
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| 2008 |
Cox BJ, Thamwattana N, Hill JM, 'Mathematical modelling of electrorheological nanofluids', INTERNATIONAL JOURNAL OF NANOTECHNOLOGY, 5 243-276 (2008)
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| 2008 |
Cox BJ, Thamwattana N, Hill JM, 'Mathematical modelling of electrorheological nanofluids', International Journal of Nanotechnology, 5 243-276 (2008)
This paper provides a review of theoretical and experimental advancements in electrorheological (ER) fluids. Experimental results and theoretical models for these novel fluids and... [more] 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.
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| 2008 |
Thamwattana N, Hill JM, 'Comment on "General equilibrium shape equations of polymer chains"', PHYSICAL REVIEW E, 78 (2008)
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| 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)
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| 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)
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| 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)
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| 2008 |
Thamwattana N, McCoy JA, Hill JM, 'Energy density functions for protein structures', QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 61 431-451 (2008)
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| 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)
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| 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)
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| 2007 |
Thamwattana N, Hill JM, 'Continuum modelling for carbon and boron nitride nanostructures', JOURNAL OF PHYSICS-CONDENSED MATTER, 19 (2007)
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| 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)
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| 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)
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| 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)
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| 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)
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| 2007 |
Baowan D, Thamwattana N, Hill JM, 'Continuum modelling of spherical and spheroidal carbon onions', EUROPEAN PHYSICAL JOURNAL D, 44 117-123 (2007)
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| 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)
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| 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)
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| 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)
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| 2006 |
Cox BJ, Thamwattana N, Hill JM, 'Electric field-induced force between two identical uncharged spheres', APPLIED PHYSICS LETTERS, 88 (2006)
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| 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)
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| 2005 |
Thamwattana N, 'Some analytical solutions for problems involving highly frictional granular materials', BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 71 527-528 (2005)
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| 2005 |
Thamwattana N, 'Some analytical solutions for problems involving highly frictional granular materials', Bulletin of the Australian Mathematical Society, 71 527-528 (2005)
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| 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)
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| 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)
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| 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)
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| 2004 |
Thamwattana N, Hill JM, 'Stress distributions within curved highly frictional granular stockpiles', QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 57 447-466 (2004)
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| 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.
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| 2003 |
Thamwattana N, Hill JM, 'Analytical stress and velocity fields for gravity flows of highly frictional granular materials', ACTA MECHANICA, 164 91-112 (2003)
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| 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)
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| 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)
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