Research Publications by Robert J. Whittaker
Peer-Reviewed Journal Articles
- A
Note on Circulation in Differentially Heated Rotating Stratified Fluid
and Other Elliptic Problems
- Robert
J. Whittaker & John
R. Lister, 2005.
- Dynamics
of Atmospheres and Oceans,
40 (4), 283–294.
- Equilibrium
Conditions for the Floating of Multiple Interfacial Objects
- Dominic Vella, Paul D. Metcalfe,
& Robert
J. Whittaker, 2006.
- Journal
of Fluid Mechanics, 549,
215–224.
- Steady
Axisymmetric Creeping Plumes above a Planar Boundary. Part I: A Point
Source [ℰ]
- Robert
J. Whittaker & John
R. Lister, 2006.
- Journal
of Fluid Mechanics, 567,
361–378.
- Steady
Axisymmetric Creeping Plumes above a Planar Boundary. Part II: A
Distributed Source
- Robert
J. Whittaker & John
R. Lister, 2006.
- Journal
of Fluid Mechanics, 567,
379–397.
- Free
Convection Beneath a Heated Horizontal Plate in a Rapidly Rotating
System
- Robert
J. Whittaker & John
R. Lister, 2007
- Journal
of Fluid Mechanics 586,
491–506.
- The
Self-Similar Rise of a Buoyant Thermal in Very Viscous Flow
- Robert
J. Whittaker & John
R. Lister, 2008.
- Journal
of Fluid Mechanics, 606,
295–324.
- Slender-body
theory for Steady Sheared Plumes in Very Viscous Fluid
- Robert
J. Whittaker & John R.
Lister, 2008.
- Journal
of Fluid Mechanics, 612, 21–44.
- Mathematical
Modelling of Fibre-Enhanced Perfusion inside a Tissue-Engineering
Bioreactor
- Robert
J.
Whittaker, Richard Booth, Rosemary J. Dyson, et
al., 2009.
- Journal
of Theoretical Biology, 256 (4),
533–546.
- The
Energetics of Flow through a Rapidly Oscillating Tube. Part 1.
General Theory [ℰ]
- Robert
J. Whittaker, Sarah
L.
Waters, Oliver
E. Jensen, Jonathan Boyle
& Matthias
Heil, 2010.
- Journal
of Fluid Mechanics 648, 83–121.
- The
Energetics of Flow through a Rapidly Oscillating Tube. Part 2.
Application to an Elliptical Tube
- Robert
J. Whittaker, Matthias
Heil, Jonathan
Boyle, Oliver E.
Jensen & Sarah
L. Waters, 2010.
- Journal
of Fluid Mechanics 648,
123–153.
- A Rational
Derivation of a Tube Law from Shell Theory [ℰ]
- Robert
J. Whittaker, Matthias
Heil, Oliver
E. Jensen
& Sarah
L. Waters, 2010.
- Quarterly Journal of Mechanics
and Applied Mathematics 63 (4), 465–496.
- Predicting the
Onset of High-Frequency Self-Excited Oscillations in Elastic-Walled
Tubes [ℰ]
- Robert
J. Whittaker, Matthias
Heil, Oliver
E. Jensen
& Sarah
L. Waters, 2010.
- Proceedings of the
Royal Society A 466 (2124),
3635–3657.
- The Energetics
of Flow through a Rapidly Oscillating Tube with Slowly Varying
Amplitude
- Robert
J.
Whittaker, Matthias
Heil & Sarah L.
Waters, 2011.
- Phil.
Trans. Roy. Soc. A 369 (1947),
2989–3006.
- Arenavirus
Budding Resulting from Viral-Protein-Associated Cell Membrane
Curvature
- David
Schley, Robert J. Whittaker,
& Benjamin
W. Neuman, 2013.
- Journal
of the Royal Society: Interface 10
(86), 20130403.
- Nonlinear Flexural Waves in Fluid-Filled Elastic Channels
- Neil
P. Deacon, Emilian
I. Părău, Richard
Purvis, Robert
J. Whittaker, 2015.
- Journal
of Fluids and Structures, 52,
16–36.
- Stability of a
Helicoidal Surface inside a Cylinder with Pinned Diameters
(pre-print) [ℰ]
- Robert
J. Whittaker & Simon
Cox, 2015.
- Quarterly
Journal of Mechanics and Applied
Mathematics, 68 (1), 23–52.
- A
Shear-Induced Boundary Layer near the Pinned Ends of a Buckled
Elastic-Walled Tube [ℰ]
- Robert
J. Whittaker, 2015.
- IMA
Journal of Applied Mathematics, 80 (6)
1932–1967.
- The Effect of Wall Inertia on High-Frequency Oscillations in an
Elastic-Walled Tube (free access link)
- Martin
C. Walters, Matthias
Heil & Robert
J. Whittaker, 2017.
- Quarterly
Journal of Mechanics and Applied Mathematics,
71 (1), 47–77.
- Stability
of Twisted Plateau Border with Line Tension and Bending
Stiffness
- Robert
J. Whittaker & Simon
Cox, 2019.
- IMA
Journal of Applied
Mathematics, 84(2),
385–415.
- Effect
of Base-State Curvature on Self-Excited High-Frequency Oscillations
in Flow through an Elastic-Walled Channel
- Thomas J. Ward
& Robert
J. Whittaker, 2019.
- Physical
Review Fluids, 4(11),
113901.
- A New
Solution for the Deformations of an Initially Elliptical
Elastic-Walled Tube
- Daniel J. Netherwood
& Robert
J. Whittaker, 2023.
- Quarterly
Journal of Mechanics and Applied
Mathematics 76(1), 49–77.
Conference Presentations and Posters
- Infinite
Prandtl Number Convection from a Localized Source
- Robert
J. Whittaker & John R.
Lister, 2004.
- Conference presentation at the 57th Annual Meeting of
the APS Division of Fluid Dynamics, Seattle, Washington.
- Infinite Prandtl Number Convection from a
Localized Source above a Horizontal Boundary
- Robert
J. Whittaker & John R.
Lister, 2005.
- Conference presentation at the 47th British Applied
Mathematics Colloquium, University of Liverpool.
- The
Floating and Sinking of Small Interfacial Objects
- Dominic
Vella, Robert
J. Whittaker
& Paul D.
Metcalfe, 2005.
- Conference presentation at the 58th Annual Meeting of
the APS Division of Fluid Dynamics, Chicago, Illinois.
- Self-similar Thermals in Stokes Flow
- John R. Lister &
Robert J. Whittaker,
2006.
- Conference presentation at the 59th Annual Meeting of
the APS Division of Fluid Dynamics, Tampa Bay, Florida.
- Analytic Solutions for Viscous Plumes and
Thermals
- John R. Lister &
Robert J. Whittaker,
2006.
- Conference Poster.
- Fluid–Structure Interaction: Shell
Theory and 3D Flow Instability in Collapsible Tubes
- Robert
J. Whittaker, Sarah
L.
Waters, Oliver
E. Jensen
& Matthias
Heil, 2007.
- Conference Poster for the Fourth
Physiological Flow Network Meeting, University of
Manchester.
- Fluid–Structure Interaction in Collapsible Tubes
- Robert
J. Whittaker, Sarah
L.
Waters, Oliver
E. Jensen
& Matthias
Heil, 2007.
- Invited speaker at a Workshop
on Biomedical Computing, Simula
Research, Oslo.
- Fluid Flow and Energy Transfer in Oscillating Collapsible Tubes
- Robert
J. Whittaker, Sarah
L.
Waters, Oliver
E. Jensen
& Matthias
Heil, 2008.
- Invited speaker in the Differential
Equations and Applications Seminar
Series, OCIAM.
- Invited speaker in the Theoretical
Mechanics Seminar Series, University of Nottingham.
- Oscillations in Flow Through a Flexible Tube
- Robert
J. Whittaker, Sarah
L.
Waters, Oliver
E. Jensen, Jonathan Boyle
& Matthias
Heil, 2008/9.
- Conference presentation at
the 7th
Euromech Fluid Mechanics Conference, University of
Manchester.
- Conference presentation at the 51st British
Applied Mathematics Colloquium, University of Nottingham.
- High-Frequency Self-Excited
Oscillations in Collapsible Tube Flows
- Robert
J. Whittaker, Sarah
L.
Waters, Oliver
E. Jensen, Jonathan Boyle
& Matthias
Heil, 2009.
- Poster at the Cardiac Physiome Project Meeting, Isaac Newton Institute, University of
Cambridge.
- High-Frequency Self-Excited Oscillations in Collapsible Tube Flows
- Robert
J. Whittaker, Sarah
L.
Waters, Oliver
E. Jensen, Jonathan Boyle
& Matthias
Heil, 2009.
- Conference presentation at
the 62nd
Annual Meeting of the APS Division of Fluid Dynamics,
Minneapolis, Minnesota.
- High-Frequency Self-Excited Oscillations in 3D
Collapsible Tube Flows
- Robert
J. Whittaker, Sarah
L.
Waters, Oliver
E. Jensen, Jonathan Boyle
& Matthias
Heil, 2009–11.
- Invited speaker in the Applied Mathematics
Seminar Series, University of Manchester, October 2009.
- Invited speaker in
the Applied
Mathematics Seminar Series, University of Birmingham,
January 2010.
- Invited speaker in
the Mathematics
Seminar Series, University of Exeter, March 2010.
- Invited speaker in
the Applied
Mathematics Seminar Series, University of East Anglia,
March 2010.
- Invited speaker in the Bioengineering
Seminar Series, Imperial College, June 2010.
- Invited speaker in
the Applied
Mathematics Seminar Series, Keele University, November
2011.
- High-Frequency Self-Excited Oscillations in 3D
Collapsible Tube Flows
- Robert
J. Whittaker, Sarah
L.
Waters, Oliver
E. Jensen, Jonathan Boyle
& Matthias
Heil, 2011.
- Invited speaker at
the Physiological
Fluid Mechanics Conference, Brunel University, July 2011.
- The Mechanics of Elastic-Walled Tubes (FSI Instability &
Shear-Relaxation Boundary Layer)
- Robert
J. Whittaker, 2012.
- Invited speaker in
the Applied
Maths Seminar Series, University of Southampton, October 2012.
- A Shear-Induced Boundary Layer near the Pinned Ends of a
Buckled Elastic-Walled Tube
- Robert
J. Whittaker, 2013.
- Conference presentation at
the
British Applied Mathematics Colloquium 2013, University of Leeds.
- Instability
of Stretched and Twisted Soap Films in a Cylinder
- Simon
Cox, Siân Jones &
Robert
J. Whittaker
- Conference presentation at
the Foams
and Minimal Surfaces — 12 Years On
meeting, Isaac Newton Institute
for Mathematical Sciences, February 2014.
- Mechanics and Instabilities of Fluid Conveying
Elastic-Walled Tubes
- Robert
J. Whittaker, Martin Walters, et
al..
- Invited seminar in the Applied Mathematics Seminar Series, University of Glasgow, October 2015.
- Boundary Layers for a 'Tube Law' at the Clamped End of an
Elastic-Walled Tube
- Robert
J. Whittaker, 2016.
- Conference presentation at
the British
Applied Mathematics Colloquiem 2016, University of
Oxford, April 2016.
- Predicting the onset of high-frequency self-excited oscillations in a channel with an elastic wall
- Thomas Ward & Robert
J. Whittaker.
- Conference presentation at
the 69th
Annual Meeting of the APS Division of Fluid Dynamics,
Portland, Oregon, November 2016.
- Predicting the onset of high-frequency self-excited oscillations
in a channel with an elastic wall
- Thomas Ward & Robert
J. Whittaker.
- Conference presentation at
the British
Applied Mathematics Colloquiem 2017, University of Surry,
April 2017.
- Stability of a twisted plateau border with line tension and bending
stiffness
- Robert
J. Whittaker
& Simon
Cox.
- Conference presentation at
the British
Applied Mathematics Colloquiem 2017, University of Surry,
April 2017.
Study Group Reports
- Real-Time Traffic Monitoring using Mobile Phone Data
- Eddie Wilson, et.
al., 2005.
- In Report of the 49th European Study Group with industry, University of Oxford.
- Optimisation
of Fluid Distribution Inside a Porous Construct
- Clare Bailey et.
al., 2006.
- In Report of the 2006 Mathematics in Medicine Study Group, University of Nottingham.
- The
Pull-Off Test for Soft Viscoelastic Solids
- David Allwright et.
al., 2007.
- In Report of the 59th
European Study Group with Industry, University of
Nottingham.
- Continuous Non-Invasive Blood-Pressure Measurements
- Tony Birch et
al., 2007.
- In Report of the 2007 Mathematics in
Medicine Study Group, University of Southampton.
- Accuracy of a Video Odometry System for Trains
- Robert Lees et
al., 2008.
- In Report of the 64th European Study Group with
Industry, Heriot-Watt University.
- Chauffeur
Braking
- Tristram Armour et
al., 2008.
- In Report of
the 68th European Study
Group with Industry, Southampton.
- Sodium
flux during Haemodialysis
- Burt Tilley et
al., 2010.
- In Report of the 2009 Math in
Medicine Study Group, University of Toronto.
- Measuring
Vesicular Release from Neurons
- Danny O'Hare et
al., 2010.
- In Report of the 2009 Mathematics in
Medicine Study Group, Imperial College, London.
- Transport
and Reaction Processes in Soil
- Colin Please et
al., 2010.
- In Report of the 73rd
European Study Group with Industry, University of
Warwick.
- Comparing Placentas from Normal and Abnormal Pregnancies
- Alexander Heazell et
al., 2010.
- In Report of the 2010 Mathematics in
Medicine Study Group, University of Strathclyde.
- Efficient
Silicon Melting
- David Allwright et
al., 2011.
- In Report of the 80th
European Study Group with Industry, University of
Cardiff.
- Unraveling the Arenavirus Budding Mechanism
- Ben Neuman et
al., 2011.
- In Report of the 2011 Mathematics in
Medicine Study Group, University of Reading.
- Inertial Navigation for Divers
- Nick Bushell et
al., 2012.
- In Report of the 85th
European Study Group with Industry, University of East
Anglia.
- Designing drugs for transmucosal delivery in the oral cavity. What are the optimum chemical properties?
- Vanessa Hearnden et
al., 2012.
- In Report of the 2012 Mathematics in
Medicine Study Group, Keele University.
- Targeting stem cells following i.v. injection using magnetic particle based approaches
- Alicia El Haj, Thomas Kwan, et
al., 2012.
- In Report of the 2012 Mathematics in
Medicine Study Group, Keele University.
- Train positioning and track location using video odometry and
track curvature
- Siddhartha Ghosh et
al., 2014.
- In Report of
the 100th
European Study Group with Industry, University of
Oxford.
- Understanding
patterns of retinal haemorrhage
- Richard Bonshek, et
al., 2014.
- In Report of the 2014 Mathematics in
Medicine Study Group, University of Cambridge.
- Slag Interface Instability
- David Bourne, Gareth Wyn Jones, Robert
Whittaker, Marta Zagórowska, 2015.
- In Report of the 107th European Study Group with
Industry, University of Manchester.
- Functional
Data Privacy Algorithms for User Based Insurance
- T. Spelman, David Wood, Robert Whittaker
& M. Kubiak, 2015.
- In Report of the 107th European Study Group with
Industry, University of Manchester.
- Strategies
for the use of Data and Algorithmic Approaches in Railway Traffic
Management
- Martine Barons et
al., 2017.
- In Report of the 130th European Study Group
with Industry, University of Warwick.
- New Techniques for Composite Wing Manufacture
- David Barton, Hilary Ockendon, Bernard
Piette, Robert Whittaker et
al., 2018.
- In Report of the 138th European Study Group
with Industry, University of Bath.
- Understanding the Screening Process of New Molecules
- James Hook, Kamil Kulesza, P. Morawiecki
& Eddie Wilson , 2018.
- In Report of the 138th European Study Group
with Industry, University of Bath.
- Towards managing landscapes: how can we interpret and design
better environmental monitoring surveys?
- Paul Sweeney
et al., 2019.
- In Report of
the 145th
European Study Group with Industry, University of
Cambridge.
Other Writings, Essays, and Reports
- Drips to Drops — Bridging the Gap
- Robert
J. Whittaker, 2002,
- Part III Essay, Mathematical Tripos, University of Cambridge.
- Robert Whittaker's
Web Tips
- Robert
J. Whittaker, 2003–2007.
- Online essays (
https://robert.mathmos.net/webtips/
).
- Theoretical Solutions for Convective Flows in
Geophysically Motivated Regimes
- Robert
J. Whittaker, 2007.
- PhD Thesis, University of Cambridge.
Articles in Preparation and Under Review
- Shear-flow instability between two viscous fluids with high
viscosity ratio
- Robert
J. Whittaker
& Garath
Wyn Jones.
- In preparation.
- Bending boundary layers near the clamped end of an
elastic-walled tube
- Martin Walters
& Robert
J. Whittaker.
- In preparation.
Errata
The papers above marked with a "ℰ " are known to contain one
of more errors. This is unfortunate, and I apologise for any
inconvenience they may have caused. Full details can be found in my
List of
Errata.