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On modelling of laser assisted machining: forward and inverse problems for heat placement control (2018)
Journal Article
Shang, Z., Liao, Z., Sarasua, J. A., Billingham, J., & Axinte, D. (2019). On modelling of laser assisted machining: forward and inverse problems for heat placement control. International Journal of Machine Tools and Manufacture, 138, 36-50. https://doi.org/10.1016/j.ijmachtools.2018.12.001

Laser assisted machining (LAM) is one of the most efficient ways to improve the machinability of difficult-to-cut materials (e.g. Nickel-based superalloys). In the conventional LAM process, the laser beam is focused ahead of the cutting area at a fix... Read More about On modelling of laser assisted machining: forward and inverse problems for heat placement control.

The initial development of a jet caused by fluid, body and free surface interaction with a uniformly accelerated advancing or retreating plate. Part 1. The principal flow (2018)
Journal Article
Gallagher, M., Needham, D., & Billingham, J. (2018). The initial development of a jet caused by fluid, body and free surface interaction with a uniformly accelerated advancing or retreating plate. Part 1. The principal flow. Journal of Fluid Mechanics, 841, https://doi.org/10.1017/jfm.2018.4

The free surface and flow field structure generated by the uniform acceleration (with dimensionless acceleration σ) of a rigid plate, inclined at an angle α ∈ (0, π/2) to the exterior horizontal, as it advances (σ > 0) or retreats (σ < 0) from an ini... Read More about The initial development of a jet caused by fluid, body and free surface interaction with a uniformly accelerated advancing or retreating plate. Part 1. The principal flow.

The initial development of a jet caused by fluid, body and free surface interaction with a uniformly accelerated advancing or retreating plate. Part 2. Well-posedness and stability of the principal flow (2018)
Journal Article
Gallagher, M., Needham, D., & Billingham, J. (2018). The initial development of a jet caused by fluid, body and free surface interaction with a uniformly accelerated advancing or retreating plate. Part 2. Well-posedness and stability of the principal flow. Journal of Fluid Mechanics, 841, https://doi.org/10.1017/jfm.2018.5

We consider the problem of a rigid plate, inclined at an angle α ∈ (0, π/2) to the horizontal, accelerating uniformly from rest into, or away from, a semi-infinite strip of inviscid, incompressible fluid under gravity. Following on from Gallagher et... Read More about The initial development of a jet caused by fluid, body and free surface interaction with a uniformly accelerated advancing or retreating plate. Part 2. Well-posedness and stability of the principal flow.

Thick drops climbing uphill on an oscillating substrate (2018)
Journal Article
Bradshaw, J., & Billingham, J. (2018). Thick drops climbing uphill on an oscillating substrate. Journal of Fluid Mechanics, 840, https://doi.org/10.1017/jfm.2018.71

Experiments have shown that a liquid droplet on an inclined plane can be made to move uphill by suffciently strong, vertical oscillations (Brunet, Eggers, and Deegan, Phys. Rev. Lett. 99, 2007). In this paper, we study a two dimensional, inviscid, ir... Read More about Thick drops climbing uphill on an oscillating substrate.