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Effect of random forcing on fluid lubricated bearing (2019)
Journal Article
Bailey, N., Hibberd, S., Tretyakov, M., & Power, H. (2019). Effect of random forcing on fluid lubricated bearing. IMA Journal of Applied Mathematics, 84(3), 632–649. https://doi.org/10.1093/imamat/hxz007

A model for a fluid lubricated bearing is derived for operation under conditions where external forces are subject to random fluctuations that may act to destabilise the bearing. The fluid flow through the bearing is described by a Reynolds equation... Read More about Effect of random forcing on fluid lubricated bearing.

Fluid dynamics of the slip boundary condition for isothermal rimming flow with moderate inertial effects (2019)
Journal Article
Nicholson, J., Power, H., Tammisola, O., Hibberd, S., & Kay, E. (2019). Fluid dynamics of the slip boundary condition for isothermal rimming flow with moderate inertial effects. Physics of Fluids, 31(3), 1-17. https://doi.org/10.1063/1.5085497

Motivated by evaluating coating oil films within bearing chambers in an aero-engine application, an analysis is presented for the fluid dynamics relevant in their dual capacity as both coolant and lubricant in highly sheared flows that may approach m... Read More about Fluid dynamics of the slip boundary condition for isothermal rimming flow with moderate inertial effects.

Evaluation of the minimum face clearance of a high speed gas lubricated bearing with Navier slip boundary conditions under random excitations (2018)
Journal Article
Bailey, N., Hibberd, S., Power, H., & Tretyakov, M. (2018). Evaluation of the minimum face clearance of a high speed gas lubricated bearing with Navier slip boundary conditions under random excitations. Journal of Engineering Mathematics, 112(1), 17–35. https://doi.org/10.1007/s10665-018-9963-9

Motivated by ongoing developments in aero-engine technology, a model for a coupled gas lubricated bearing is developed in terms of an extended dynamical system. A slip boundary condition, characterised by a slip length, is incorporated on the bearing... Read More about Evaluation of the minimum face clearance of a high speed gas lubricated bearing with Navier slip boundary conditions under random excitations.

Mixed ice accretion on aircraft wings (2018)
Journal Article
Janjua, Z. A., Turnbull, B., Hibberd, S., & Choi, K. (in press). Mixed ice accretion on aircraft wings. Physics of Fluids, 30(2), https://doi.org/10.1063/1.5007301

Ice accretion is a problematic natural phenomenon that an effects a wide range of engineering applications including power cables, radio masts and wind turbines. Accretion on aircraft wings occurs when supercooled water droplets freeze instantaneousl... Read More about Mixed ice accretion on aircraft wings.

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.

Effect of possible rotor deformation on the probability of face contact for a liquid film bearing (2016)
Journal Article
Hibberd, S., Bailey, N., Hibberd, S., & Power, H. (2017). Effect of possible rotor deformation on the probability of face contact for a liquid film bearing. Tribology International, 109, 297-310. https://doi.org/10.1016/j.triboint.2016.12.032

The possibility of face contact is examined for a coaxial rotor-stator bearing in dynamic motion constrained by a highly rotating very thin liquid film. A modified Reynolds equation for pressurised flow is coupled to the bearing structure leading to... Read More about Effect of possible rotor deformation on the probability of face contact for a liquid film bearing.

The depth-averaged numerical simulation of laminar thin-film flows with capillary waves (2016)
Journal Article
Kakimpa, B., Morvan, H., & Hibberd, S. (2016). The depth-averaged numerical simulation of laminar thin-film flows with capillary waves. Journal of Engineering for Gas Turbines and Power, 138(11), Article 112501. https://doi.org/10.1115/1.4033471

Thin-film flows encountered in engineering systems such as aero-engine bearing chambers often exhibit capillary waves and occur within a moderate to high Weber number range. Although the depth-averaged simulation of these thin-film flows is computati... Read More about The depth-averaged numerical simulation of laminar thin-film flows with capillary waves.

Inertial effects on thin-film wave structures with imposed surface shear on an inclined plane (2016)
Journal Article
Sivapuratharasu, M., Hibberd, S., Hubbard, M. E., & Power, H. (2016). Inertial effects on thin-film wave structures with imposed surface shear on an inclined plane. Physica D: Nonlinear Phenomena, 325, 86-97. https://doi.org/10.1016/j.physd.2016.03.008

This study provides an extended approach to the mathematical simulation of thin-film flow on a flat inclined plane relevant to flows subject to high surface shear. Motivated by modelling thin-film structures within an industrial context, wave structu... Read More about Inertial effects on thin-film wave structures with imposed surface shear on an inclined plane.

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.