Research Publications by Robert J. Whittaker

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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 []
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
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 []
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 []
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) []
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
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 (pre-print)
Martin C. Walters, Matthias Heil & Robert J. Whittaker.
Accepted for publication in Q. J. Mech. Appl. Math., published by Oxford University Press.

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 CAPS 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.
Predicting the onset of high-frequency self-excited oscillations in a channel with an elastic wall
Thomas Ward & Robert J. Whittaker, 2016.
Conference presentation at the 69th Annual Meeting of the APS Division of Fluid Dynamics, Portland, Oregon.

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
In Report of the 107th European Study Group with Industry, University of Manchester.

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 (http://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

The Non-Linear Effect of Base-State Curvature on Self-Excited Oscillations in an Elastic-Walled Channel
Thomas J. Ward & Robert J. Whittaker
Submitted to Phys. Rev. Fluids.
Stability of Twisted Plateau Border with Line Tension and Bending Stiffness
Robert J. Whittaker & Simon Cox.
In preparation.
Shear-flow instability between two viscous fluids with high viscosity ratio
Robert J. Whittaker & Garath Wyn Jones.
In preparation.
Linear Temporal Stability of Plug Flow in an Elastic Channel
Neil P. Deacon, Emilian I. Părău, Richard Purvis, 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.