Continuum and discrete models of dislocation pile-ups. I Pile-up at a lock (2007)
Ockendon, J.R, Voskoboinikov, Roman, Chapman, S.J
A mathematical methodology for analysing pile-ups of large numbers of dislocations is described. As an example, the pile-up of n identical screw or edge dislocations in a single slip pane under the...
Nonclassical shallow water flows (2007)
Edwards, C., Howison, S.D., Ockendon, H., Ockendon, J.R.
This paper deals with violent discontinuities in shallow water flows with large Froude number $F$. On a horizontal base, the paradigm problem is that of the impact of two fluid layers in situations...
Numerical solutions of the unsteady Fanno model for compressible pipe flow (2007)
Ockendon, J.R, Ockendon, H, Novikovs, A
This paper presents numerical results on the evolution of the solutions of the Fanno model for compressible pipe flow. The principal results concern the large-time behaviour when nonlinear effects...
A class of exactly solvable free-boundary inhomogeneous porous medium flows (2006)
Howison, S.D., Loutsenko, I., Ockendon, J.R.
We describe a class of inhomogeneous two-dimensional porous medium flows, driven by a finite number of multipole sources; the free boundary dynamics can be parametrized by polynomial conformal maps.
Modelling an isolated dust grain in a plasma using matched asymptotic expansions (2006)
Ockendon, J.R, Arinaminpathy, N, Allen, J
The study of dusty plasmas is of significant practical use and scientific interest. A characteristic feature of dust grains in a plasma is that they are typically smaller than the electron Debye...
Droplet impact on a thin fluid layer (2005)
Howison, S.D., Ockendon, J.R., Oliver, J.M., Purvis, R., Smith, F.T.
The initial stages of high-velocity droplet impact on a shallow water layer are described, with special emphasis given to the spray jet mechanics. Four stages of impact are delineated, with...
Fitt, A.D., Kozyreff, G., Ockendon, J.R.
We consider the steady levitation of a rigid plate on a thin air cushion with prescribed injection velocity. This injection velocity is assumed to be much larger than that in a conventional Prandtl...
Ockendon, J.R., Fitt, A.D., Kozyreff, G.K.
We consider the steady levitation of a rigid plate on a thin air cushion with prescribed injection velocity. This injection velocity is assumed to be much larger than that in a conventional Prandtl...
Oblique slamming, planing and skimming (2004)
Howison, S.D., Ockendon, J.R., Oliver, J.M.
We consider how tangential impact velocities can be incorporated into well-know impact theories in deep and shallow water. Taking the deep and shallow flows in turn, we show how to link the normal...
Mushy Regions in Negative Squeeze Films (2003)
Ockendon, J. R., Howison, S. D., Lacey, A. A.
An elegant experiment described by Hayes and Feiten in 1964 suggests a novel free boundary model for the evolution of a mushy region in a negative squeeze film. The mushy region nucleates when the...
Mushy Regions in Negative Squeeze Films (2003)
Ockendon, J. R., Howison, S. D., Lacey, A. A.
An elegant experiment described by Hayes and Feiten in 1964 suggests a novel free boundary model for the evolution of a mushy region in a negative squeeze film. The mushy region nucleates when the...
The effect of surfactants on expanding free surfaces (2001)
Breward, C.J.W., Darton, R.C., Howell, P.D., Ockendon, J.R.
This paper develops a systematic theory for the flow observed in the so-called ``overflowing cylinder'' experiment. The basic phenomenon to be explained is the order of magnitude increase in the...
The Fanno model for turbulent compressible flow (2001)
The paper considers the derivation and properties of the Fanno model for nearly unidirectional turbulent flow of gas in a tube. The model is relevant to many industrial processes. Approximate...
The Fanno model for turbulent compressible flow (2001)
The paper considers the derivation and properties of the Fanno model for nearly unidirectional turbulent flow of gas in a tube. The model is relevant to many industrial processes. Approximate...
The Fanno model for turbulent compressible flow (2001)
The paper considers the derivation and properties of the Fanno model for nearly unidirectional turbulent flow of gas in a tube. The model is relevant to many industrial processes. Approximate...
Nonlinear Wave and Diffusion Equations. (1998)
McLeod, J. B., Ockendon, J. R.
This research has consisted of a number of investigations into nonlinear wave and diffusion equations. These make their appearance in many mathematical modelling problems, and we have been interested...
Introduction The `slitblower' consists of a channel into which high-speed air is introduced through two nozzles slightly inclined to the channel (see figure 1). Hydrodynamic forces from the air then...
On the theory of Complex Rays (1997)
S. J. Chapman, J. R. Ockendon, R. H. Tew, Nottingham Ng Rd
The article surveys the application of complex ray theory to the scalar Helmholtz equation in two dimensions. The first objective is to motivate a framework within which complex rays may be used to...
Edge Diffraction of Complex Rays (1997)
S. J. Chapman, J. R. Ockendon, V. H. Saward
The extension of the Geometrical Theory of Diffraction to complex rays is considered. The key difference with real rays arises in the determination of the regions of existence of the incident and...
Modelling foam drainage (1997)
Breward, C.J.W., Darton, R.C., Howell, P.D., Ockendon, J.R.
Foaming occurs in many distillation and absorption processes. In this paper, two basic building blocks that are needed to model foam drainage and hence foam stability are discussed. The first...