Ian Sobey - Publications
- 1976 I.J. Sobey `Inviscid secondary motions in a tube of slowly varying
ellipticity', Journal of Fluid Mechanics, 73, 621-639.
- 1976 I.J. Sobey `Bio-fluid Dynamics of Bifurcations' Ph.D. Thesis, Cambridge University
- 1977 I.J. Sobey `Laminar boundary layer flow past a two-dimensional
slot', Journal of Fluid Mechanics, 83, 33-47.
- 1978 I.J. Sobey `Fluid mechanics of the Oxford Oxygenator', Proc.
1st. Int. Conf. on Mechanics in Medicine and Biology. ed Reul (Witzstock),
p183-186.
- 1980 I.J. Sobey `On flow through a furrowed channel. Part I Calculated
flow patterns', Journal of Fluid Mechanics, 96, 1-26.
- 1980 K.D. Stephanoff, I.J. Sobey & B.J. Bellhouse `On flow through
a furrowed channel. Part II Observed flow patterns', Journal of Fluid
Mechanics, 96, 27-32.
- 1981 I.J. Sobey `The effect of small dispersion on two-phase
operations', Journal of Institute of Mathematics and its
Applications, 27, 237-249.
- 1981 M.A. Jeffree, J. Peacock, I.J.Sobey & B.J. Bellhouse `Increased
maximum haemofiltration rates in a vortex mixing haemofilter', Proc. Euro.
Soc. Artif. Organs 8, p150-153
- 1981M.A. Jeffree, B.J. Bellhouse, K. Abel, J. Peacock \& I.J. Sobey
`Improvement of mass transfer efficiency in haemodialysis and haemofilitration
by vortex mixing', Int. J. Artif. Organs 4, p251-252
- 1981 M.A. Jeffree, J. Peacock, I.J. Sobey & B.J. Bellhouse `Gel layer
limited haemofilitration rates can be increased by vortex mixing',
Clin. Expt. Dial. Apheresis 5, p373-380
- 1982 I.J. Sobey `Oscillatory flows at intermediate Strouhal number in
asymmetric channels', Journal of Fluid Mechanics 125, p359-373
- 1983 I.J. Sobey `The occurrence of separation in oscillatory flow',
Journal of Fluid Mechanics 134, p247-257
- 1985 I.J.Sobey `Observation of waves during oscillatory channel flow',
Journal of Fluid Mechanics 151, p395-426
- i1985 I.J.Sobey `Dispersion caused by separation during oscillatory flow
through a furrowed channel' Chem. Eng. Science 40, p2129-2134
- 1985 I.J. Sobey & P.G Drazin `Instabilities and bifurcations of flows
in a two-dimensional channel' University of Bristol report AM-85-01
- 1985 I.J.Sobey, D.B.White, L.J.S.Bradbury & C.Atkinson `Early time
analysis of the drill stem test' (Confidential) SCR/1985/005/FLM/C
- 1985 I.J.Sobey `Mud displacement in an eccentric annulus'
(Confidential) SCR/RM/1985/FLM/C
- 1985 I.J.Sobey `Concerning one and two-phase flow in drill stem tests
which do not flow to the surface' (Confidential) SCR/1985/025/FLM/C
- 1986 I.J.Sobey & P.G. Drazin `Bifurcations of two-dimensional channel
flows' Journal of Fluid Mechanics 171, p263-287
- 1986 A.A.Gavignet & I.J.Sobey `A model for the transport of cuttings in
highly deviated wells' Society of Petroleum Engineers 15417
- 1986 Atkinson, C., Hammond, P.S., Sheppard, M. & Sobey, I.J. `Some mathematical problems arising from the oil service industry' in Non-Classical Continuum Mechanics, Knops, R.J. & Lacey A.A. (Eds) LMS Lecture Notes Series 122
- 1986 I.J.Sobey, D.B.White, A.Hunt, L.Muller & A.Emslie `Pressure
differentials acting acrosss a positrieve packer mandrel during tubing conveyed
perforating' (Confidential) SCR/RM/1986/001/FLM/C
- 1986 S.Bittleston, J.Denis & I.J.Sobey `The circulation phase of mud
displacement during cementing' Drilling and Pumping Journal 1,
p26-33
- 1989 A.A. Gavignet & I.J. Sobey `Model aids cuttings transport prediction'
Journal Petroleum Technology 41, p916-921
- 1989 I.J. Sobey 'Flow visualisation of vortex mixing
in channels with flat walls by utilising a vortex wave'
(Confidential report to Bellhouse Biosciences)
- 1991 K.W.Morton & I.J.Sobey `On the Discretisation of a
Convection Diffusion Equation' OU Computing Laboratory Report 91/04
- 1991 I.J.Sobey, B. DeBlois & S.Alani `Application of a vortex wave
mechanism to ultrafiltration' Euromech 272, Aussois, France
- 1992 I.A. Frigaard, S.D. Howison & I.J.Sobey `On the Stability of
Poiseuille flow of a Bingham fluid'
OU Computing Laboratory Report NA-92/06
- 1992 Y. Uchibori & I.J.Sobey `Dependence on numerical algorith of
bifurcation structure for flow through a symmetric expansion'
OU Computing Laboratory Report NA-92/14
- 1993 K.W.Morton & I.J.Sobey `Discretisation of a Convection Diffusion
Equation' IMA J. Numerical Analysis 13, p141-160
- 1993 Deblois, B., Sobey, I.J. & Alani, S. `Characteristics of the vortex wave'
J. Fluid Mechanics 253, pp27-43
- 1993 Friggard,I.A., Howison, S. & Sobey, I.J. `On the stability of Plane Poisseuille flow of a Bingham Fluid' J. Fluid Mechanics 263, pp133-150
- 1993 Sobey, I.J. & Mullin, T. `Calculation of multiple solutions for the two-dimensional Navier-Stokes equations'
Proceedings of Numerical Methods for Fluid Dynamics 4 Edited by Morton, K.W. & Baines, M. pp417-424
- 1994 Bellhouse, B.J., Sobey, I.J. Alani, S. & DeBlois, B.M. `Enhanced filtration using flat membranes and standing vortex waves'
Bioseparation 4, p127-138
- 1995 Millward, H.R., Bellhouse, B.J., Sobey, I.J. & Lewis,R.W.H. `Enhancement of plasma filtration using the concept of a vortex wave' J. Membrane Sci. 100,pp121-129
- 1995 M. Drexler, I.J.Sobey & C. Bracher `On the Fractal Characteristics
of a Stabilised Newton Method'
OU Computing Laboratory Report 95/26
- 1996 Millward, H.R., Bellhouse, B.J. & Sobey, I.J. `The vortex wave membrane bioreactor: hydrodynamics and mass transfer' The Chemical Engineering Journal 62 , pp175-181
- 1996 Hwu, T-W, Sobey, I.J. & Bellhouse, B.J. `Observation of dispersion in unsteady deflected flows' Chem. Eng. Sci. 51, pp3373-3390
- 1996 M. Drexler, I.J.Sobey & C. Bracher `Fractal Characteristics of Newton's Method on Polynomials'
OU Computing Laboratory Report NA-96/14
- 1997 Hwu, T-W, Sobey, I.J. & Bellhouse, B.J. `Simulation of concentration dispersion in unsteady deflected flows' Chem. Eng. Sci. 52, pp3233-3242
- 1998 Sousa, E. & Sobey, I.J. `Finite Difference Approximation of a Convection Diffusion Equation Near a Boundary' OU Computing Laboratory Report NA-98/16
- 2000 Sobey, I.J.`Introduction to Interactive Boundary Layer Theory' OUP ISBN 0-19-850675-9
- 2001 E. Sousa & I.J. Sobey 'A family of finite difference schemes for the convection-diffusion equation in two dimensions' OU Computing Laboratory Report NA-01/11
- 2002 E. Sousa & I.J. Sobey `A new perspective on the stability of unsteady stream-function vorticity calculations ' OU Computing Laboratory Report NA-02/03
- 2002 Sousa, E, & Sobey, I.J. 'On the influence of numerical boundary conditions'
Applied Numerical Mathematics 41, p325-344
- 2002 Sousa, E, & Sobey, I.J. 'A family of finite difference schemes for the convection-diffusion equation in two dimensions' in Brezzi F,
Buffa A, Corsaro S, Murli F (Eds) -- Enumath 2001 Numerical Mathematics and Advanced Applications, Springer-Verlag, (2002) pp. 95-104.
- 2003 Sousa, E, & Sobey, I.J. 'Numerical stability of unsteady stream-function vorticity calculations' Communications in Numerical Methods in Engineering 19 pp407-419.
- 2003 A. Wacher, I. Sobey & K.Miller `String gradient weighted moving finite elements for systems of partial differential equations' OU Computing Laboratory Report NA-03/15
- 2004 W. Tee & I.J. Sobey `Spectral Method for the unsteady incompressible Navier-Stokes equations in gauge formulation' OU Computing Laboratory Report NA04/09
- 2004 E. Sousa & I.J. Sobey `Effect of boundary vorticity discretisation on explicit stream function - vorticity calculations' Departamento de Matematica, Universidade de Coimbra, Pre-Publicacoes, 04-17. Preliminary version of 2005 IJNMF paper.
- 2004 A. Smillie, I.J. Sobey & Z. Molnar `A hydro-elastic model of hydrocephalus' OU Computing Laboratory Report NA-04/03. Preliminary version of next JFM paper
- 2005 A. Smillie, I.J. Sobey & Z. Molnar `A hydro-elastic model of hydrocephalus' Journal of Fluid Mechanics 539, p417-443
- 2005 A. Wacher, I. Sobey & K. Miller `String gradient weighted moving finite elements' International Journal for Numerical Methods in Fluids 47: 1329-1336
- 2005 E. Sousa & I.J. Sobey `Effect of boundary vorticity discretisation on explicit stream function - vorticity calculations' International Journal for Numerical Methods in Fluids 49, pages 371-393
- 2006 Sobey, I. & Wirth, B. `Effect of nonlinear permeability in a spherical model of hydrocephalus' Mathematical Medicine and Biology 23, p339-361 doi:10.1093/imammb/dql015
- 2006 Wirth, B. and Sobey, I. `An axisymmetric and fully 3D poroelastic model for the onset and treatment of hydrocephalus' Mathematical Medicine and Biology 23, p363-388 doi:10.1093/imammb/dql014
- 2007 A. Wacher & I. Sobey `String gradient weighted moving finite elements in multiple dimensions with applications in two dimensions' SIAM Journal on Scientific Computing 29, pages 459-480
- 2007 D. Kachuma & I.Sobey `Linear instability of asymmetric Poiseuille flows' Numerical Analysis Group Report NA-07/21
- 2008 Wirth, B. & Sobey, I. `A model for an inverse power constitutive law for cerebral compliance' Mathematical Medicine and Biology 25, p113-131 doi:10.1093/imammb/dqn006
- 2009 Wirth, B. & Sobey, I. `Analytic solution during an infusion test of the linear unsteady poroelastic equations in a spherically symmetric model of the brain' Mathematical Medicine and Biology' 26,p25-61 doi:10.1093/imammb/dqn012
- 2010 Wirth, B and Sobey, I & Eisentraeger, A.,`A note on the solution of a poroelastic proble' Mathematical Institute Technical Report http://eprints.maths.ox.ac.uk/901/
- 2010 I. Sobey, A. Eisentraeger, B. Wirth, and M. Czosnyka `Multi-fluid Poro-Elastic Modelling of the CSF Infusion Test' IFMBE Proceedings 31, p. 362-365 C.T.Lim & J.C.H. Goh (Eds)
- 2012 I.Sobey, A.Eisentraeger, B.Wirth & M.Czosnyka `Simulation of cerebral infusion tests using a poroelastic model' International Journal of Numerical Analysis and Modeling series B 3, p52-64
- 2012 A. Eisentraeger, I. Sobey & M. Czosnyka 'Parameter estimations for the cerebrospinal fluid infusion test' Mathematical Medicine and Biology doi:10.1093/imammb/dqs001
- 2012 B. Wirth, I. Sobey & A. Eisentraeger 'Conditions for choking in a poroelastic flow model' IMA Journal of Applied Mathematics doi:10.1093/imamat/hxs062
- 2013 A. Eisentraeger & I. Sobey 'Mulit-fluid poroelastic modelling of CSF flow through the brain' http://dx.doi.org/10.1061/9780784412992.253 in 'Poromechanics V: Proceedings of the Fifth Biot Conference on Poromechanics' eds C. Hellmich, B. Pichler & D. Adam http://dx.doi.org/10.1061/9780784412992
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