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
- 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, 2011.
- 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
- 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
- Phil.
Trans. Roy. Soc. A 369 (1947),
2989–3006.
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.
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/).
- 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.
- Theoretical Solutions for Convective Flows in
Geophysically Motivated Regimes
- Robert
J. Whittaker, 2007.
- PhD Thesis, University of Cambridge.
- 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 Heazellet.
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.
Articles in Preparation and Under Review
- A Note on Oscillatory Boundary Layers Attached to a Moving Wall
- Robert
J. Whittaker & Sarah L.
Waters
- In preparation.
- On the Reliability of the cosθ Method for Measuring Blood Flow in Arteries
- Jennifer H. Siggers et. al.
- In perparation