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1995 …2021
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Research Output 1995 2019

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Article
1995

Pattern formation in excitable reaction-diffusion systems: the eikonal analysis on the torus

Mulholland, A. J. & Gomatam, J., 1995, In : Journal of Biological Systems. 3, 4, p. 1013-1019 6 p.

Research output: Contribution to journalArticle

Excitable Systems
Pattern Formation
Reaction-diffusion System
Reaction-diffusion Equations
Torus
1996
3 Citations (Scopus)
Excitable Systems
spherical waves
Reaction-diffusion System
Diffraction
Hemisphere
7 Citations (Scopus)
wave fronts
approximation
eikonal equation
differential equations
eigenvalues
1997
8 Citations (Scopus)

Calculation of chemical and phase equilibria via simulated annealing

Reynolds, D., Mulholland, A. & Gomatam, J., 1997, In : Journal of Mathematical Chemistry. 22, 1, p. 25-37 12 p.

Research output: Contribution to journalArticle

Phase Equilibria
Simulated annealing
Simulated Annealing
Phase equilibria
Equilibrium Problem
6 Citations (Scopus)

Integrated modelling of process heat transfer with combustion and fouling

Isdale, J. D., Mercier, P., Grillot, J. M., Mulholland, A. J. & Gomatam, J., Oct 1997, In : Applied Thermal Engineering. 17, 8, p. 751-762 11 p.

Research output: Contribution to journalArticle

Fouling
Heat transfer
Energy efficiency
Industry
1999
2 Citations (Scopus)

Modelling high temperature salt condensation; Fick and Soret diffusion effects

Mulholland, A. J., Gomatam, J. & Jenkins, A., 1999, In : International Journal of Thermal Sciences . 38, 5, p. 436-441 5 p.

Research output: Contribution to journalArticle

Condensation
boundary layers
Chapman-Enskog theory
condensation
sondes
2000
25 Citations (Scopus)

Wave propagation in 0-3/3-3 connectivity composites with complex microstructure

Gomez Alvarez-Arenas, TE., Mulholland, A. J., Hayward, G. & Gomatam, J., Sep 2000, In : Ultrasonics. 38, 9, p. 897-907 10 p.

Research output: Contribution to journalArticle

wave propagation
microstructure
composite materials
micromechanics
acoustics
2001
3 Citations (Scopus)

Fractal morphology of deposits in heat exchangers and their physical properties

Gomatam, J. & Mulholland, A. J., Mar 2001, In : Fractals. 9, 1, p. 31-50 19 p.

Research output: Contribution to journalArticle

Heat Exchanger
Physical property
Fractals
Heat exchangers
Fractal
2002

Knotted reaction-diffusion waves

McDermott, S., Mulholland, A. J. & Gomatam, J., 8 Dec 2002, In : Proceedings A: Mathematical, Physical and Engineering Sciences. 458, 2028, p. 2947-2966 19 p.

Research output: Contribution to journalArticle

diffusion waves
Reaction-diffusion
formulations
support systems
Formulation
2003
7 Citations (Scopus)
157 Downloads (Pure)

A renormalisation approach to excitable reaction-diffusion waves in fractal media

Abdulbake, J., Mulholland, A. J. & Gomatam, J., 2003, In : Chaos, Solitons and Fractals. 11, 4, p. 315-330 15 p.

Research output: Contribution to journalArticle

Open Access
File
Reaction-diffusion
Renormalization
Wave Propagation
Fractal
Sierpinski Gasket
2 Citations (Scopus)
29 Downloads (Pure)

Simulation of deposit formation in particle laden flows: thermal properties

Mulholland, A. J., 2003, In : Biomedicine and Pharmacotherapy. 56, 7, p. 347-347

Research output: Contribution to journalArticle

Rupture
Hot Temperature
Atherosclerotic Plaques
Pathologic Constriction
Sudden Cardiac Death
2004
6 Citations (Scopus)

Existence and stability of reaction-diffusion waves on a fractal lattice

Abdulbake, J., Mulholland, A. & Gomatam, J., 2004, In : Chaos, Solitons and Fractals. 20, 4, p. 799-814 15 p.

Research output: Contribution to journalArticle

Reaction-diffusion
Traveling Wave
Fractal
Renormalization
Wave Propagation
16 Downloads (Pure)

Simulation of deposit formation in particle laden flows

Mulholland, A. J., Steves, B. A., Buick, J. M., Cosgrove, J. A. & Collins, M. W., 2004, In : Internal Medicine Clinical and Laboratory. 11, 1-3, p. 30-37 7 p.

Research output: Contribution to journalArticle

File
Fractals
Deposits
Thermal Conductivity
Thermal conductivity
Atherosclerotic Plaques

The Lattice Boltzmann equation for modelling arterial flow

Buick, J. M., Cosgrove, J. A., Tonge, S. J., Collins, M. W., Mulholland, A. J. & Steves, B. A., 2004, In : Internal Medicine. 11, p. 24-29 5 p.

Research output: Contribution to journalArticle

Hydrodynamics
2005
4 Citations (Scopus)
70 Downloads (Pure)

Reconstruction of the spatial dependency of dielectric and geometrical properties of adhesively bonded structures

Mackay, C., Hayward, D., Mulholland, A. J., McKee, S. & Pethrick, R. A., 3 Jun 2005, In : Journal of Physics D: Applied Physics. 38, 12, p. 1943-1949 6 p.

Research output: Contribution to journalArticle

Open Access
File
spatial dependencies
Inverse problems
dielectric properties
Transmission line theory
Nondestructive examination
2006
3 Citations (Scopus)

Assessment of adhesively bonded aluminium joints by high frequency dielectric measurements

Crane, R. L., Hayward, D., McConnell, B., Pethrick, R. A., Mulholland, A. J., McKee, S. & Mackay, C., 2006, In : Sampe Journal. 42, 5, p. 35-38 3 p.

Research output: Contribution to journalArticle

14 Citations (Scopus)
125 Downloads (Pure)

Diffusion and convection of gaseous and fine particulate from a chimney

Mackay, C., Mulholland, A. & McKee, S., 2006, In : IMA Journal of Applied Mathematics. 71, 5, p. 670-691 21 p.

Research output: Contribution to journalArticle

File
Chimneys
Convection
Inverse problems
Ground state
Mass transfer
2 Citations (Scopus)

Vibration of a coupled plate/fluid interacting system and its implication for modal analysis and vibration health monitoring

Gorman, D., Trendafilova, I., Mulholland, A. & Horáček, J., 2006, In : Applied Mechanics and Materials. 5-6, p. 323-330 7 p.

Research output: Contribution to journalArticle

Modal analysis
Health
Corrosion resistant alloys
Fluids
Monitoring
2007
19 Citations (Scopus)
9 Downloads (Pure)

Analytical modelling and extraction of the modal behaviour of a cantilever beam in fluid interaction

Gorman, D. G., Trendafilova, I., Mulholland, A. J. & Horáček, J., 20 Nov 2007, In : Journal of Sound and Vibration. 308, 1-2, p. 231-245 14 p.

Research output: Contribution to journalArticle

cantilever beams
Cantilever beams
resonant frequencies
Natural frequencies
Fluids
3 Citations (Scopus)
126 Downloads (Pure)
File
Connector
Airframes
Inverse problems
Electric lines
Inverse Problem
16 Citations (Scopus)
113 Downloads (Pure)

A theoretical analysis of a piezoelectric ultrasound device with an active matching layer

Mulholland, A., Ramadas, S. N., O'Leary, R. L., Parr, A. C. S., Troge, A., Hayward, G. & Pethrick, R. A., 31 Dec 2007, In : Ultrasonics. 47, 1, p. 102-110 8 p.

Research output: Contribution to journalArticle

Open Access
File
piezoelectric transducers
flexibility
10 Citations (Scopus)
92 Downloads (Pure)

Theoretical modelling of frequency dependent elastic loss in composite piezoelectric transducers

Orr, L., Mulholland, A. J., O'Leary, R. L., Parr, A. C. S., Pethrick, R. A. & Hayward, G., 31 Dec 2007, In : Ultrasonics. 47, 1, p. 130-137 8 p.

Research output: Contribution to journalArticle

Open Access
File
piezoelectric transducers
electrical impedance
coupling coefficients
fillers
composite materials
2008
7 Citations (Scopus)
58 Downloads (Pure)

Analysis of ultrasonic transducers with fractal architecture

Orr, L., Mulholland, A. J., O'Leary, R. L. & Hayward, G., Dec 2008, In : Fractals. 16, 4, p. 333-349 17 p.

Research output: Contribution to journalArticle

Open Access
File
Ultrasonic transducers
Transducer
Fractals
Fractal
Manufacturing
6 Citations (Scopus)
45 Downloads (Pure)
Open Access
File
Hyperbolic Set
Excitable Systems
Fractal Structure
Invariant Set
Traveling Wave Solutions
10 Citations (Scopus)

Enhancing the performance of piezoelectric ultrasound transducers by the use of multiple matching layers

Mulholland, A., Ramadas, S. N., O'Leary, R. L., Parr, A. C. S., Hayward, G., Troge, A. & Pethrick, R. A., Dec 2008, In : IMA Journal of Applied Mathematics. 73, 6, p. 936-949 14 p.

Research output: Contribution to journalArticle

Ultrasound
Transducer
Transducers
Ultrasonics
Piezoelectric transducers
4 Citations (Scopus)
58 Downloads (Pure)

Harmonic analysis of lossy piezoelectric composite transducers using the plane wave expansion method

Orr, L-A., Mulholland, A. J., O'Leary, R. L. & Hayward, G., 31 Dec 2008, In : Ultrasonics. 48, 8, p. 652-663 12 p.

Research output: Contribution to journalArticle

Open Access
File
harmonic analysis
transducers
plane waves
expansion
composite materials
13 Citations (Scopus)
7 Downloads (Pure)

Particle sizing using passive ultrasonic measurement of particle-wall impact vibrations

Carson, G., Mulholland, A. J., Nordon, A., Tramontana, M., Gachagan, A. & Hayward, G., 21 Oct 2008, In : Journal of Sound and Vibration. 317, 1-2, p. 142-157 15 p.

Research output: Contribution to journalArticle

Ultrasonic measurement
sizing
ultrasonics
Particle size
vibration
16 Citations (Scopus)
9 Downloads (Pure)

Vibration analysis of a circular plate in interaction with an acoustic cavity leading to extraction of structural modal parameters

Gorman, D. G., Trendafilova, I., Mulholland, A. J. & Horáček, J., Jul 2008, In : Thin-Walled Structures. 46, 7-9, p. 878-886 8 p.

Research output: Contribution to journalArticle

Open Access
File
circular plates
Vibration analysis
Acoustics
vibration
cavities
2009
6 Citations (Scopus)

Analysis of the Rayleigh-Plesset equation with chirp excitation

Barlow, E., Mulholland, A. J., Gachagan, A., Nordon, A. & MacPherson, K. G., Feb 2009, In : IMA Journal of Applied Mathematics. 74, 1, p. 20-34 14 p.

Research output: Contribution to journalArticle

Rayleigh Equation
Chirp
Bubble
Excitation
Ultrasonics
5 Citations (Scopus)
3 Downloads (Pure)

Estimating particle concentration using passive ultrasonic measurement of impact vibrations

Carson, G., Mulholland, A. J., Nordon, A., Tramontana, M., Gachagan, A. & Hayward, G., Feb 2009, In : IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control. 56, 2, p. 345-352 8 p.

Research output: Contribution to journalArticle

Ultrasonic measurement
Ultrasonic transducers
Power spectrum
estimating
ultrasonics
15 Downloads (Pure)
Open Access
File
particle size distribution
inclusions
composite materials
scattering
mechanical impedance
2 Citations (Scopus)

Theoretical analysis of chirp excitation of contrast agents

Barlow, E., Mulholland, A., Gachagan, A. & Nordon, A., 1 Jan 2009, In : Physics Procedia. 3, 1, p. 743-747 4 p.

Research output: Contribution to journalArticle

chirp
harmonics
excitation
6 Citations (Scopus)
11 Downloads (Pure)
Vibrations (mechanical)
ultrasonics
Ultrasonics
vibration
Ultrasonic transducers
2010
6 Citations (Scopus)

A theoretical model of an electrostatic ultrasonic transducer incorporating resonating conduits

Walker, A. J., Mulholland, A. J. & Whitely, S., May 2010, In : IMA Journal of Applied Mathematics. 75, 5, p. 796-810 14 p.

Research output: Contribution to journalArticle

Ultrasonic transducers
Transducer
Electrostatics
Theoretical Model
Cavity
6 Citations (Scopus)
954 Downloads (Pure)

Properties of photocured epoxy resin materials for application in piezoelectric ultrasonic transducer matching layers

Troge, A., O'Leary, R., Hayward, G., Pethrick, R. & Mulholland, A., Nov 2010, In : Journal of the Acoustical Society of America. 128, 5, p. 2704-2714 11 p.

Research output: Contribution to journalArticle

Open Access
File
epoxy resins
acoustic properties
transducers
ultrasonics
resins
2 Citations (Scopus)

Theoretical analysis of chirp excitation of contrast agents

Barlow, E., Mulholland, A. J., Nordon, A. & Gachagan, A., 1 Jan 2010, In : Physics Procedia. 3, 1, p. 743-747 5 p.

Research output: Contribution to journalArticle

chirp
harmonics
excitation
2011
chirp
bubbles
ultrasonics
cross correlation
sizing
2 Citations (Scopus)

A theoretical investigation of chirp insonification of ultrasound contrast agents

Barlow, E., Mulholland, A. J., Gachagan, A. & Nordon, A., Aug 2011, In : Ultrasonics. 51, 6, p. 725-733 9 p.

Research output: Contribution to journalArticle

chirp
harmonics
chirp signals
elastic properties
viscosity
11 Citations (Scopus)

Piezoelectric ultrasonic transducers with fractal geometry

Mulholland, A. J. & Walker, A. J., Dec 2011, In : Fractals. 19, 4, p. 469-479 11 p.

Research output: Contribution to journalArticle

Fractal Geometry
Ultrasonic transducers
Piezoelectric transducers
Transducer
Fractals
2013
3 Citations (Scopus)
260 Downloads (Pure)

A dual weighted residual method applied to complex periodic gratings

Lord, N. H. & Mulholland, A. J., 8 Dec 2013, In : Proceedings of the Royal Society of Edinburgh: Section A Mathematics . 469, 2160, 17 p., 20130176.

Research output: Contribution to journalArticle

Open Access
File
A Posteriori Error Estimates
Gratings
Diffraction Efficiency
Diffraction Grating
Hermann Von Helmholtz
3 Citations (Scopus)
55 Downloads (Pure)

Analysis and interpretation of compressible fluid interaction upon the vibration of a circular membrane

Gorman, D., Horacek, J., Mulholland, A. & Gorman, M. N., 2013, In : Acta Technica. 58, 4, p. 443-461 19 p.

Research output: Contribution to journalArticle

File
Compressible Fluid
Membrane
Vibration
Membranes
Fluid
Diffraction Grating
A Priori Error Estimates
Finite Element Modeling
Diffraction gratings
Electromagnetic Wave
2 Citations (Scopus)
69 Downloads (Pure)

Explicit error bounds for the α-quasi-periodic Helmholtz problem

Lord, N. H. & Mulholland, A. J., 1 Oct 2013, In : Journal of the Optical Society of America A. 30, 10, p. 2111-2123 13 p.

Research output: Contribution to journalArticle

Open Access
File
A Priori Error Estimates
Explicit Bounds
Hermann Von Helmholtz
Error Bounds
estimates
2015
7 Citations (Scopus)
100 Downloads (Pure)

A finite element approach to modelling fractal ultrasonic transducers

Algehyne, E. A. & Mulholland, A. J., 1 Dec 2015, In : IMA Journal of Applied Mathematics. 80, 6, p. 1684-1702 19 p.

Research output: Contribution to journalArticle

Open Access
File
Ultrasonic transducers
Transducer
Fractals
Fractal
Finite Element
6 Citations (Scopus)
70 Downloads (Pure)
Open Access
File
Fractional Fourier Transform
Ultrasonic Wave
Chirp
Ultrasonic waves
ultrasonic radiation
14 Citations (Scopus)
91 Downloads (Pure)
Open Access
File
sizing
cracks
ultrasonics
Ultrasonics
Cracks
23 Citations (Scopus)
216 Downloads (Pure)

Estimation of particle size distribution and aspect ratio of non-spherical particles from chord length distribution

Agimelen, O. S., Hamilton, P., Haley, I., Nordon, A., Vasile, M., Sefcik, J. & Mulholland, A. J., 17 Feb 2015, In : Chemical Engineering Science . 123, p. 629-640 12 p.

Research output: Contribution to journalArticle

Open Access
File
Chord or secant line
Particle Size
Aspect Ratio
Particle size analysis
Aspect ratio
2 Citations (Scopus)
267 Downloads (Pure)
Open Access
File
particulates
Transducers
Acoustics
Glass
acoustics
2016
4 Citations (Scopus)
96 Downloads (Pure)

A theoretical model of an ultrasonic transducer incorporating spherical resonators

Walker, A. J. & Mulholland, A. J., 1 Feb 2016, In : IMA Journal of Applied Mathematics. 81, 1, p. 1-25 25 p.

Research output: Contribution to journalArticle

Open Access
File
Ultrasonic transducers
Resonator
Transducer
Theoretical Model
Resonators
18 Citations (Scopus)
141 Downloads (Pure)

Integration of in situ imaging and chord length distribution measurements for estimation of particle size and shape

Agimelen, O. S., Jawor-Baczynska, A., McGinty, J., Dziewierz, J., Tachtatzis, C., Cleary, A., Haley, I., Michie, C., Andonovic, I., Sefcik, J. & Mulholland, A. J., 22 Apr 2016, In : Chemical Engineering Science . 144, p. 87-100 14 p.

Research output: Contribution to journalArticle

Open Access
File
Aspect ratio
Particle size
Imaging techniques
Particle size analysis
Processing