Skip to main content

Research Repository

Advanced Search

All Outputs (19)

4-dimensional local radial basis function interpolation of large, uniformly spaced datasets (2022)
Journal Article
Thewlis, J., Stevens, D., Power, H., Giddings, D., Gowland, P., & Vloeberghs, M. (2023). 4-dimensional local radial basis function interpolation of large, uniformly spaced datasets. Computer Methods and Programs in Biomedicine, 228, Article 107235. https://doi.org/10.1016/j.cmpb.2022.107235

Background and Objective: Large, uniformly spaced, complex and time varying datasets derived from high resolution medical image velocimetry can provide a wealth of information regarding small-scale transient physiological flow phenomena and pulsation... Read More about 4-dimensional local radial basis function interpolation of large, uniformly spaced datasets.

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.

CFD multiphase modelling of the acetone condensation and evaporation process in a horizontal circular tube (2019)
Journal Article
Mohammed, H. I., Giddings, D., Walker, G. S., & Power, H. (2019). CFD multiphase modelling of the acetone condensation and evaporation process in a horizontal circular tube. International Journal of Heat and Mass Transfer, 134, 1159-1170. https://doi.org/10.1016/j.ijheatmasstransfer.2019.02.062

With increasing demands on energy efficiency, the use of low grade waste heat using vapour absorption refrigeration systems (VARS) are receiving renewed interest. One idea is to use the combination of acetone and zinc bromide as the salt solution, wh... Read More about CFD multiphase modelling of the acetone condensation and evaporation process in a horizontal circular tube.

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.

CFD assessment of the effect of nanoparticles on the heat transfer properties of acetone/ZnBr2 solution (2017)
Journal Article
Mohammed, H. I., Giddings, D., Walker, G. S., & Power, H. (2018). CFD assessment of the effect of nanoparticles on the heat transfer properties of acetone/ZnBr2 solution. Applied Thermal Engineering, 128, https://doi.org/10.1016/j.applthermaleng.2017.08.169

A potential novel working fluid for vapour absorption refrigeration utilising very low grade waste heat, is based on acetone and zinc bromide as the salt solution. A Computational Fluid Dynamics (CFD) model is presented of the fluid with zinc oxide n... Read More about CFD assessment of the effect of nanoparticles on the heat transfer properties of acetone/ZnBr2 solution.

Immiscible thermo-viscous fingering in Hele-Shaw cells (2017)
Journal Article
Jackson, S., Power, H., & Giddings, D. (2019). Immiscible thermo-viscous fingering in Hele-Shaw cells. Computers and Fluids, 156, 621-641. https://doi.org/10.1016/j.compfluid.2017.04.004

We investigate immiscible radial displacement in a Hele-Shaw cell with a temperature dependent viscosity using two coupled high resolution numerical methods. Thermal gradients created in the domain through the injection of a low viscosity fluid at a... Read More about Immiscible thermo-viscous fingering in Hele-Shaw cells.

The stability of immiscible viscous fingering in Hele-Shaw cells with spatially varying permeability (2017)
Journal Article
Jackson, S., Power, H., Giddings, D., & Stevens, D. (2017). The stability of immiscible viscous fingering in Hele-Shaw cells with spatially varying permeability. Computer Methods in Applied Mechanics and Engineering, 320, 606-632. https://doi.org/10.1016/j.cma.2017.03.030

In this paper, we investigate the stability of immiscible viscous fingering in Hele-Shaw cells with spatially varying permeability, across a range of capillary numbers. We utilise a coupled boundary element - radial basis function (BE –RBF) numerical... Read More about The stability of immiscible viscous fingering in Hele-Shaw cells with spatially varying permeability.

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.

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.

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.

An adaptive RBF finite collocation approach to track transport processes across moving fronts (2015)
Journal Article
Power, H., Giddings, D., Jackson, S., & Stevens, D. (2016). An adaptive RBF finite collocation approach to track transport processes across moving fronts. Computers and Mathematics with Applications, 71(1), 278-300. https://doi.org/10.1016/j.camwa.2015.11.015

© 2015 Elsevier Ltd. We develop a radial basis function finite collocation method (RBF-FC) that utilises an adaptive quadtree dataset to cluster nodes around critical features in the domain, for the solution of transport processes occurring in moving... Read More about An adaptive RBF finite collocation approach to track transport processes across moving fronts.

Numerical analysis of particle flows within a double expansion (2014)
Journal Article
Love, A., Giddings, D., & Power, H. (2014). Numerical analysis of particle flows within a double expansion. Powder Technology, 266, 22-37. https://doi.org/10.1016/j.powtec.2014.05.057

The effect of solid particles within flows having zones of recirculation is of interest in pulverised fuel distribution and combustion at burners. Previous modelling of a 1/4 scale test rig was performed by Giddings et al. (2004), and an instability... Read More about Numerical analysis of particle flows within a double expansion.

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.

On the effects of mass and momentum transfer from droplets impacting on steady two-dimensional rimming flow in a horizontal cylinder (2012)
Journal Article
Williams, J., Hibberd, S., Power, H., & Riley, D. S. (2012). On the effects of mass and momentum transfer from droplets impacting on steady two-dimensional rimming flow in a horizontal cylinder. Physics of Fluids, 24, Article 053103. https://doi.org/10.1063/1.4718653

Motivated by applications in aero-engines, steady two-dimensional thin-filmflow on the inside of a circular cylinder is studied when the filmsurface is subject to mass and momentum transfer from impacting droplets. Asymptotic analysis is used systema... Read More about On the effects of mass and momentum transfer from droplets impacting on steady two-dimensional rimming flow in a horizontal cylinder.