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Dynamics of a small gap gas lubricated bearing with Navier slip boundary conditions (2017)
Journal Article
Bailey, N. Y., Hibberd, S., & Power, H. (2017). Dynamics of a small gap gas lubricated bearing with Navier slip boundary conditions. Journal of Fluid Mechanics, 818, 68-99. https://doi.org/10.1017/jfm.2017.142

A gas lubricated bearing model is derived which is appropriate for a very small bearing face separation by including velocity slip boundary conditions and centrifugal inertia effects. The bearing dynamics are examined when an external harmonic force... Read More about Dynamics of a small gap gas lubricated bearing with Navier slip boundary conditions.

Stokes–Brinkman formulation for prediction of void formation in dual-scale fibrous reinforcements: a BEM/DR-BEM simulation (2017)
Journal Article
Patiño, I. D., Power, H., Londoño, C. N., & Flόrez, W. F. (in press). Stokes–Brinkman formulation for prediction of void formation in dual-scale fibrous reinforcements: a BEM/DR-BEM simulation. Computational Mechanics, https://doi.org/10.1007/s00466-016-1360-5

A numerical study of voids formation in dual-scale fibrous reinforcements is presented. Flow fields in channels (Stokes) and tows (Brinkman) are solved via direct Boundary Element Method and Dual Reciprocity Boundary Element Method, respectively. The... Read More about Stokes–Brinkman formulation for prediction of void formation in dual-scale fibrous reinforcements: a BEM/DR-BEM simulation.

A multi-layer integral model for locally-heated thin film flow (2017)
Journal Article
Kay, E., Hibberd, S., & Power, H. (2017). A multi-layer integral model for locally-heated thin film flow. Journal of Computational Physics, 336, 51-68. https://doi.org/10.1016/j.jcp.2017.01.066

Based on an approach used to model environmental flows such as rivers and estuaries, we develop a new multi-layered model for thin liquid film flow on a locally-heated inclined plane. The film is segmented into layers of equal thickness with the velo... Read More about A multi-layer integral model for locally-heated thin film flow.

A note on the use of the Companion Solution (Dirichlet Green's function) on meshless boundary element methods (2016)
Journal Article
Power, H., Caruso, N., & Portapila, M. (2017). A note on the use of the Companion Solution (Dirichlet Green's function) on meshless boundary element methods. Engineering Analysis with Boundary Elements, 75, https://doi.org/10.1016/j.enganabound.2016.12.002

Most implementations of meshless BEMs use a circular integration contours (spherical in 3D) embedded into a local interpolation stencil with the so-called Companion Solution (CS) as a kernel, in order to eliminate the contribution of the single layer... Read More about A note on the use of the Companion Solution (Dirichlet Green's function) on meshless boundary element methods.

Boundary element simulation of void formation in fibrous reinforcements based on the Stokes–Darcy formulation (2016)
Journal Article
Patiño Arcila, I. D., Power, H., Nieto Londoño, C., & Flórez Escobar, W. F. (2016). Boundary element simulation of void formation in fibrous reinforcements based on the Stokes–Darcy formulation. Computer Methods in Applied Mechanics and Engineering, 304, https://doi.org/10.1016/j.cma.2016.02.010

The Boundary Element Method (BEM) is applied for the solution of the problem of void formation in fibrous reinforcements used in composite materials. Stokes and Darcy formulations for the channel and porous medium are considered, including three main... Read More about Boundary element simulation of void formation in fibrous reinforcements based on the Stokes–Darcy formulation.

A depth-averaged model for non-isothermal thin-film rimming flow (2013)
Journal Article
Kay, E., Hibberd, S., & Power, H. (2014). A depth-averaged model for non-isothermal thin-film rimming flow. International Journal of Heat and Mass Transfer, 70, https://doi.org/10.1016/j.ijheatmasstransfer.2013.11.040

A model for non-isothermal shear-driven thin-film flow on the inside surface of a stationary circular cylinder is presented. Motivated by an application to film flow in an aero-engine bearing chamber the model extends lubrication theory analysis of t... Read More about A depth-averaged model for non-isothermal thin-film rimming flow.

Inertial effects at moderate Reynolds number in thin-film rimming flows driven by surface shear (2013)
Journal Article
Kay, E., Hibberd, S., & Power, H. (in press). Inertial effects at moderate Reynolds number in thin-film rimming flows driven by surface shear. Physics of Fluids, 25(10), https://doi.org/10.1063/1.4825134

In this paper, we study two-dimensional thin-film flow inside a stationary circular cylinder driven by an imposed surface shear stress. Modelling is motivated by a need to understand the cooling and film dynamics provided by oil films in an aero-engi... Read More about Inertial effects at moderate Reynolds number in thin-film rimming flows driven by surface shear.