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A coupled 1D film hydrodynamics and core gas flow model for air-oil flows in aero-engine bearing chambers (2017)
Conference Proceeding
Kakimpa, B., Morvan, H., & Hibberd, S. (2017). A coupled 1D film hydrodynamics and core gas flow model for air-oil flows in aero-engine bearing chambers.

A robust 1D film hydrodynamic model has been sequentially coupled with a 1D core gas model and used to predict the instantaneous mean core gas speed, film interface shear stress and liquid film distribution within an idealised bearing chamber. This n... Read More about A coupled 1D film hydrodynamics and core gas flow model for air-oil flows in aero-engine bearing chambers.

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.

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 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.