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Ice formation within a thin film flowing over a flat plate (2017)
Journal Article
Moore, M. R., Mughal, M. S., & Papageorgiou, D. T. (2017). Ice formation within a thin film flowing over a flat plate. Journal of Fluid Mechanics, 817, 455-489. https://doi.org/10.1017/jfm.2017.100

We present a model for ice formation in a thin, viscous liquid film driven by a Blasius boundary layer after heating is switched off along part of the flat plate. The flow is assumed to initially be in the Nelson et al. (J. Fluid Mech., vol. 284, 199... Read More about Ice formation within a thin film flowing over a flat plate.

On air cushioning in axisymmetric impacts (2014)
Journal Article
Moore, M., & Oliver, J. (2014). On air cushioning in axisymmetric impacts. IMA Journal of Applied Mathematics, 79(4), 661-680. https://doi.org/10.1093/imamat/hxu026

This paper extends the work of Moore et al. (2013, Air-cushioning in impact problems. IMA J. Appl. Math., 78, 818–838) by using a displacement potential formulation to analyse the post-impact effect of an air-cushioning layer on the normal impact of... Read More about On air cushioning in axisymmetric impacts.

Capillary and viscous perturbations to Helmholtz flows (2014)
Journal Article
Moore, M., Ockendon, H., Ockendon, J., & Oliver, J. (2014). Capillary and viscous perturbations to Helmholtz flows. Journal of Fluid Mechanics, 742, Article R1. https://doi.org/10.1017/jfm.2014.39

Inspired by recent calculations by Thoraval et al. (Phys. Rev. Lett., vol. 108, 2012, p. 264506) relating to droplet impact, this paper presents an analysis of the perturbations to the free surface caused by small surface tension and viscosity in ste... Read More about Capillary and viscous perturbations to Helmholtz flows.

Air-cushioning in impact problems (2013)
Journal Article
Moore, M. R., Ockendon, J. R., & Oliver, J. M. (2013). Air-cushioning in impact problems. IMA Journal of Applied Mathematics, 78(4), 818-838. https://doi.org/10.1093/imamat/hxt026

This paper concerns the displacement potential formulation of the post-impact influence of an air-cushioning layer on the 2D impact of a liquid half-space by a rigid body. The liquid and air are both ideal and incompressible and attention is focussed... Read More about Air-cushioning in impact problems.

A note on oblique water entry (2012)
Journal Article
Moore, M., Howison, S., Ockendon, J., & Oliver, J. (2013). A note on oblique water entry. Journal of engineering mathematics, 81(1), 67-74. https://doi.org/10.1007/s10665-012-9570-0

A minor error in Howison et al. (J. Eng. Math. 48:321–337, 2004) obscured the fact that the points at which the free surface turns over in the solution of the Wagner model for the oblique impact of a two-dimensional body are directly related to the t... Read More about A note on oblique water entry.

Three-dimensional oblique water-entry problems at small deadrise angles (2012)
Journal Article
Moore, M., Howison, S., Ockendon, J., & Oliver, J. (2012). Three-dimensional oblique water-entry problems at small deadrise angles. Journal of Fluid Mechanics, 711, 259-280. https://doi.org/10.1017/jfm.2012.391

This paper extends Wagner theory for the ideal, incompressible normal impact of rigid bodies that are nearly parallel to the surface of a liquid half-space. The impactors considered are three-dimensional and have an oblique impact velocity. A formula... Read More about Three-dimensional oblique water-entry problems at small deadrise angles.