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The numerical calculation of subcritical steady potential flow around an unyawed ellipsoid. RAE TR 75041 (1975) also A.R.C. R&M No.3795 (1977).

The numerical calculation of steady inviscid super-critical flow past ellipsoids without circulation. RAE TR 75087 (1975) also A.R.C. R&M No.3794 (1977).

The calculation of steady inviscid flow around non-lifting bodies (with G.J. Clapworthy and K.W. Mangler). I.U.T.A.M. Symposium Transsonicum II. published Springer-Verlag (1976), edited by K. Oswatitsch and D. Rues.

A power series method for treating mixed boundary value problems (with J.W. Craggs). J. Inst. Maths. Applics. 21 pp.1-12 (1978).

Application of the heat balance integral method to the freezing of a cuboid (with D.S. Riley). Int. J. Heat Mass Transfer 20 pp.294-296 (1977)

An extension of existing solidification results obtained from the heat-balance integral method (with D.S. Riley) Int. J. Heat Mass Transfer 20 p.297 (1977).

Separation of jets or thermal boundary layers from a wall (with F.T. Smith). Quart. J. Mechs. Appl. Maths. 30 pp.143-156 (1977).
Steady streaming between oscillating cylinders (with F.T. Smith). J. Fluid Mech. 91 pp.93-110 (1979).
Oscillatory flow through constricted or dilated channels and axisymmetric pipes. Proc. Roy. Soc. Lond. A363 pp.335-355 (1978).
Flow induced by a torsionally oscillating wavy cylinder. Quart. J. Mechs. Appl. Maths. 32 pp.73-91 (1979).

Viscous flow through unsteady symmetric channels. J. Fluid Mech. 95 pp.635-654 (1979).

Laminar flow over a small unsteady hump on a flat plate. Mathematika 25 pp.24-35 (1978).

Flow in straight ducts of arbitrary cross-section. Journal of Appl. Mechs. (Trans ASME Series E) 46 pp.263-268 (1979).

Laminar flow over a small unsteady three-dimensional hump. Zeitschrift fu r Angewandte Mathematik and Physik 32 pp.62-80 (1981).

Pulsatile flow in constricted or dilated channels. Quart. J. Mech. Appl. Maths. 33 PP.78-92 (1980).

The inviscid stability of a trailing line vortex (with M.R. Foster), Zeitschrift fur Angewandte Mathematik und Physik 31 pp.524-532 (1980).

Torsional oscillations of a finite disk. SIAM Journal of Applied Mathematics, 41 pp.247-264 (1981).
On the severe nonsymmetric constriction, curving or cornering of channel flows (with F.T. Smith). J. Fluid Mech. 90 pp.727-753 (1980).
Spectral computation of triple-deck flows (with O.R. Burggraf). Proc. Symposium on Numerical Physical Aspects of Aerodynamic flows. (Published by Springer 1982).
The centrifugal instability of a Stokes' Layer: Asymmetric disturbances (with P. Hall). Zeitschrift fu r Angewande Mathematik und Physik, 32 pp.102-106 (1981).

The linear centrifugal instability of a thick Stokes' layer. Phys. Fluids 23 pp.2178-2181 (1980).

The effect of a surface discontinuity on an axisymmetric boundary layer. Quart. J. Mech. Appl. Maths. 37, pp.57-74 (1984).
Oscillatory flows inside a square cavity. J. Fluid Mech. 122 pp.215-234 (1982).

Spectral solutions for three-dimensional triple-deck flow over surface topography (with O.R. Burggraf), J. Fluid Mech 162 pp.1-22 (1986).

The inviscid stability of Long's vortex (with M.R. Foster), Phys. Fluids. 25 pp.1715-1718 (1982).

Flow through rotating straight pipes of circular cross-section Phys. Fluids. 26 pp.614-618 (1983).

The inviscid stability of swirling flows: large wavenumber disturbances. Zeitchrift fu r Angewandte Mathematik und Physik . 37, 340-360 (1986).

The interaction between a steady laminar boundary layer and an oscillating flap: the condensed problem. Proc. Second Symposium on Numerical and Physical Aspects of Aerodynamic Flows pp.369-380. Published by Springer (1984).

First-passage times for the Uhlenbeck-Ornstein process. (with T.W. Marshall and E.J. Watson), J. Phys. A. (Maths and Gen.) 19, pp.3545-3558 (1986).

Pulsatile flow in constricted or dilated channels: part II, Quart. J. Mech. Appl. Math. 38, pp.621-653 (1985).

Laminar flow over unsteady humps: the formation of waves. J. Fluid Mech. 160 pp.465-498 (1985).

On the flow between two rotating shrouded discs. Computers & Fluids 14, pp.183-196 (1986).

Flow and heat transfer in a cusped duct. Mathematical Engineering in Industry 1, pp.247-263 (1987).
The wall jet on an axisymmetric body. Quart J. Mech. Appl. Maths. (with R.J. Bodonyi). 39, pp.467-483 (1986).
Pressurized water reactor blockage - prediction of laminar flow and temperature distributions following a loss of coolant accident. (with J. Turner) Int. J. Flow and Heat Transfer. 8 pp.114-155 (1987).

A numerical method for treating strongly interactive 3-D viscous-inviscid flows (with R.J. Bodonyi) Computers and Fluids 16 pp.279-290 (1988)

The effect of small surface perturbations on the pulsatile boundary layer on a semi-infinite flat plate. J. Fluid Mech. 197, pp.259-293 (1988).
Unsteady triple-deck flows leading to instabilities, Proc. IUTAM Sym. on boundary layer separation 1986 pp.297-312 (Pub. by Springer, 1987).
Unsteady flow due to an impulsively started rotating sphere (with S.C.R. Dennis), Computers and Fluids 16, pp.291-310 (1988).

Triple-deck flow over unsteady surface disturbances: the three-dimensional development of Tollmien Schlichting waves. Computers and Fluids 18, pp.1-34 (1990).

Oscillatory flow over a semi-infinite flat plate at low Reynolds numbers (with R.J. Bodonyi). Computers and Fluids 16 pp.311-326 (1988)

On the intersection of axisymmetric Tollmien-Schlichting waves in supersonic flow (with P. Hall). Quart. J. Mech. Appl. Maths. 42, pp.115-130 (1989) (also ICASE report no. 88-10)
A numerical method for treating time-periodic boundary layers J. Fluid Mech. 204, 544-561 (1989)
Three-dimensional Marginal Separation. J. Fluid Mech. 202, 559-575 (1989) (also NASA TM 101411, ICOMP-88-22).

A numerical study of the interaction between unsteady freestream disturbances and localized variations in surface geometry (with R.J. Bodonyi, W.J.C. Welch, and M. Tadjfar, J. Fluid Mech. 209, 285-308 (1989)

Non-axisymmetric viscous lower branch modes in axisymmetric supersonic flows (with P. Hall). J. Fluid Mech. 213, 191-201 (1990), (also ICASE report no. 88-42)
The response of a laminar boundary layer in supersonic flow to small amplitude progressive waves, J. Fluid Mech. 219, pp.423-448 (1990) (also NASA TM101965, ICOMP - 89-6).

The inviscid axisymmetric stability of the supersonic flow along a circular cylinder, J. Fluid Mech 214, pp.611-637 (1990) (also ICASE report no. 89-19).

On the high Reynolds number flow between non-coaxial rotating cylinders (with P.D. Chipman). Q.J.M.A.M. 46, 163-191 (1993)
The inviscid non-axisymmetric stability of supersonic flow past axisymmetric bodies. Proc. ICASE/NASA Langley workshop on Stability and Transition. Vol.2 pp.110-120 (Pub. by Springer 1990).
The inviscid stability of supersonic flow past a sharp cone (with S.J. Shaw), Theo. and Comp. Fluid. Dyn. 2, 139-163 (1990) (also ICASE report no. 90-14)
Unsteady three-dimensional marginal separation, including breakdown, J. Fluid Mech. 220, pp.85-98 (1990). (Also NASA Tm102525, ICOMP 90-07).
An investigation of the non-linear instability of flow near a swept attachment line (with V. Theofilis and D.I.A. Poll), Proc. IUTAM meeting on Instability and Transition, Toulouse, France. pp.389-394 (Pub. by Springer 1990)
The unsteady laminar boundary layer on an axisymmetric body, subject to small amplitude fluctuations in the freestream velocity. J. Fluid Mech. 232, pp 415-438 (1991) (Also ICASE report no. 91-50).
The structure of separated flow past a circular cylinder in a rotated frame (with M.A. Page) Geophys. Astrophys. Fluid, Dyn. 58, pp 147-223 (1991)
The inviscid stability of supersonic flow past heated or cooled axisymmetric bodies (with S.J. Shaw), Phys. Fluids A4, pp 1541- 1557 (1992). Also ICASE report no. 90-81.
Boundary-layer receptivity due to a wall suction and control of Tollmien-Schlichting waves (with R.J. Bodonyi), Phys. Fluids A4, pp 1204-1214 (1992). Also ICASE report no. 90-62
A note on the effects of viscosity on the stability of a trailing line vortex (with M.R. Khorrami), J. Fluid Mech. 245, pp 175-189 (1992). Also ICASE report no. 91-6
On the stability of the infinite swept attachment line boundary layer, with V. Theofilis and D.I.A. Poll, 12th Int. Conf. on Num. Method in Fluid, Dyn. Oxford, Lecture Notes in Physics 371, p199,

On the linear stability of compressible plane Couette flow. (with G. Erlebacher and M.Y. Hussaini). J.Fluid Mech. 258,pp131-165 (1994) (Also ICASE report no. 91-64)
On the stability of normal shock waves (with P. Balakumar). Proc. ICASE/NASA Langley workshop on Transition and Turbulence pp 253-265, (1992)

The stability of a trailing-line vortex in compressible flow (with J.A.K. Stott). J. Fluid Mech. 268, pp323-351 (1994) (Also ICASE report no. 92-65, 1992.)

On the interaction between the shock wave attached to a wedge and freestream disturbances, Theo. and Comp. Fluid Dyn. 7, pp119-139 (1995) (with D.G. Lasseigne and M.Y. Hussaini) (Also ICASE report no. 93-61 1993)

The effect of viscosity on the stability of a trailing- line vortex in compressible flow, (with J.A.K. Stott) Phys. Fluids 7, pp2265-2270 (1995) (Also ICASE report no. 94-58 1994)

The three-dimensional flow past a rapidly rotating circular cylinder. (with J.P. Denier), ICASE report no.93-52 (1993)

The effects of viscosity on centre modes in the incompressible stability of a trailing line vortex. Phys. Fluids 8, pp.1455-1463 (1996)

Stationary perturbations of Couette-Poiseuille flow: the flow development in long cavities and channels. (with J.R. Stocker). J. Fluid Mech. 292, pp153-182 (1995)
The generation of Tollmien-Schlichting waves by Freestream turbulence, (with A.I. Ruban and C.N. Zhikharev), J. Fluid Mech. 312, pp.341-371 (1996)

On the boundary layer arising in the spin-up of a stratified fluid in a container with sloping walls. (With M.R. Foster and R.E. Hewitt). J. Fluid Mech. 335, pp.233-259 (1997)
The effect of three-dimensional freestream disturbances on the supersonic flow past a wedge. (with D.G. Lasseigne and M.Y. Hussaini), Phys. Fluids 9, pp.456-467 (1997) (also ICASE report 97-26)

The hydrodynamic damping force on a cylinder in oscillatory, very high Reynolds number flows (with A.M. Cobbin and P.K. Stansby), Appl. Ocean Res. 17, pp.291-300 (1995).

Nonlinear excitation of inviscid stationary vortex instabilities in a boundary-layer flow (with M. Choudhari). Proc. IUTAM Symp. on Nonlinear Instability and Transition in three-dimensional boundary layers, pp. 409-422, Kluwer (1996). Also ICASE report 96-27 (1996).

Solutions of the inviscid triple-deck equations, Proc. Colloquium on Transitional Boundary Layers in Aeronautics, Amsterdam, North-Holland, pp.349-360 (1996)

The effects of freestream pressure gradient on a corner boundary layer (with M.R. Dhanak), Proc. Roy. Soc. Lond. A453, pp1793-1815 (1997).

On the unsteady low-Rossby number flow of a rotating fluid past a circular cylinder (with J.R. Stocker and M.A. Page). Phys. Fluids. 9, pp. 600-614 (1997).

An asymptotic description of the turbulent, oscillatory boundary layer (with M.A. Butler and P.K. Stansby), J. Eng. Math. 34, pp.335-357 (1998).

The generation of Tollmien-Schlichting waves by freestream vorticity perturbations. (with A.I. Ruban and C.N. Zhikharev), AIAA paper 96-2123 (1996).

The temporal development of the boundary layer in a rotating stratified fluid (with M.R. Foster and R.E. Hewitt). Proc. IMA Symposium on Stably Stratified Flows. pp.263-278 (1999), Clarendon Press.

Non-similarity solutions to the corner boundary-layer equations (and the effects of wall transpiration). (With S. Stow and M.R, Dhanak). J. Fluid Mech. 400, 125 - 162 (1999)

Nonlinear spin-up of a rotating stratified fluid: experimental method and preliminary results. (With R.E. Hewitt, P.A. Davies, M.R. Foster and F.W. Smith). ASME J. Fluids Eng. 120, pp. 667- 671 (1998) (also Proc. ASME/OED Intnl. Cong. Sym. 14, pp. 21-31, 1997)

Nonlinear spin-up of a rotating stratified fluid: theory. (With R.E. Hewitt, P.A. Davies and M.R. Foster). ASME J. Fluids Eng. 120, pp. 662-666 (1998) (also Proc. ASME/OED Intnl. Cong. Sym. 14, pp. 33-46, 1997)

Spin-up of stratified rotating flows at large Schmidt number: experiment and theory. (With R.E. Hewitt, P.A. Davies and M.R. Foster, J. Fluid Mech. 389, pp.169-207 (1999).

Steady boundary-layer solutions for a swirling fluid in a rotating cone (with R.E. Hewitt and M.R. Foster), J. Fluid Mech. 384, pp.339-374 (1999)

Boundary-layer flow along a ridge: alternatives to the Falkner-Skan solutions. With S.R. Stow and M.R. Dhanak, to appear in Phil. Trans. Roy. Soc.

Non-axisymmetric rotating-disk flows: Nonlinear travelling-wave states (with R.E. Hewitt). J. Fluid Mech.413, 287-316 (2000).

Spin-up of homogeneous and stratified fluids (with M.R. Foster). Invited article for Ann. Rev. Fluid Mech., to appear.

On the Enhanced Convergence of Standard Lattice Methods for Option Pricing (with M. Widdicks, A.D. Andricopoulos and D.P. Newton). Submitted (also Manchester Business School Working Paper No. 417, ISSN 0954-7401, November 2000).


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