Outputs (13)

The thermo-viscous fingering instability of a cooling spreading liquid dome (2023)
Journal Article

We investigate a theoretical model of a molten viscous planar liquid dome spreading under gravity over an inclined substrate. The liquid in the dome cools as it spreads, losing its heat to the surrounding colder air and substrate. Coupled nonlinear... Read More about The thermo-viscous fingering instability of a cooling spreading liquid dome.

THE ROLE OF THERMOVISCOUS AND THERMOCAPILLARY EFFECTS IN THE COOLING OF A MOLTEN FREE LIQUID FILM DRAINING DUE TO GRAVITY (2023)
Journal Article

We consider theoretically the two-dimensional flow in a vertically-aligned thick molten liquid film to investigate the competition between cooling and draining due to gravity, relevant in the formation of metallic foams. The molten liquid in the film... Read More about THE ROLE OF THERMOVISCOUS AND THERMOCAPILLARY EFFECTS IN THE COOLING OF A MOLTEN FREE LIQUID FILM DRAINING DUE TO GRAVITY.

The Role of Thermoviscous and Thermocapillary Effects in the Cooling and Gravity-Driven Draining of Molten Free Liquid Films (2023)
Journal Article

We theoretically considered two-dimensional flow in a vertically aligned thick molten liquid film to investigate the competition between cooling and gravity-driven draining, which is relevant in the formation of metallic foams. Molten liquid in films... Read More about The Role of Thermoviscous and Thermocapillary Effects in the Cooling and Gravity-Driven Draining of Molten Free Liquid Films.

Non-Newtonian and viscoplastic models of a vertically-aligned thick liquid film draining due to gravity (2022)
Journal Article

We consider theoretically the two-dimensional flow in a vertically-aligned thick liquid film supported at the top and bottom by wire frames. The film gradually thins as the liquid drains due to gravity. We focus on investigating the influence of non-... Read More about Non-Newtonian and viscoplastic models of a vertically-aligned thick liquid film draining due to gravity.

Proceedings of International Conference on Biomedical Engineering (2021)
Presentation / Conference

Aspiration thrombectomy is a life-saving interventional procedure to remove a blood clot from the brain of stroke patients. The pressure and blood flow dynamics during this procedure are crucial in determining the clinical outcomes. A mathematical mo... Read More about Proceedings of International Conference on Biomedical Engineering.

An adaptive moving mesh method for two-dimensional thin film flow equations with surface tension (2019)
Journal Article

In this paper, we extend our previous work [A. Alharbi and S. Naire, An adaptive moving mesh method for thin film flow equations with surface tension, J. Computational and Applied Mathematics, 319 (2017), pp. 365-384.] on a one-dimensional r-adaptive... Read More about An adaptive moving mesh method for two-dimensional thin film flow equations with surface tension.

A mathematical model of cartilage regeneration after chondrocyte and stem cell implantation - II: The effects of co-implantation (2019)
Journal Article

We present a mathematical model of cartilage regeneration after cell therapy, to show how co-implantation of stem cells (mesenchymal stem cells) and chondrocytes into a cartilage defect can impact chondral healing. The key mechanisms involved in the... Read More about A mathematical model of cartilage regeneration after chondrocyte and stem cell implantation - II: The effects of co-implantation.

A mathematical model of cartilage regeneration after chondrocyte and stem cell implantation - I: The effects of growth factors (2019)
Journal Article

Autologous Chondrocyte Implantation is a cell-based therapy for treating chondral defects. The procedure begins by inserting chondrocytes into the defect region. The chondrocytes initiate healing by proliferating and depositing extracellular matrix,... Read More about A mathematical model of cartilage regeneration after chondrocyte and stem cell implantation - I: The effects of growth factors.

An adaptive moving mesh method for thin film flow equations with surface tension (2017)
Journal Article

We present an adaptive moving mesh method for the numerical solution of thin liquid film spreading flows with surface tension. We follow the r-adaptive moving mesh technique which utilises a mesh density function and moving mesh partial differential... Read More about An adaptive moving mesh method for thin film flow equations with surface tension.

In vitro experiments of cerebral blood flow during aspiration thrombectomy: potential effects on cerebral perfusion pressure and collateral flow (2015)
Journal Article

BACKGROUND: Mechanical thrombectomy with stent retriever devices is associated with significantly better outcomes than thrombolysis alone in the treatment of acute ischemic stroke. Thrombus aspiration achieves high patency rates, but clinical outcome... Read More about In vitro experiments of cerebral blood flow during aspiration thrombectomy: potential effects on cerebral perfusion pressure and collateral flow.

The spreading and stability of a surfactant-laden drop on an inclined prewetted substrate (2015)
Journal Article

We consider a viscous drop, loaded with an insoluble surfactant, spreading over a flat plane that is covered initially with a thin liquid film. Lubrication theory allows the flow to be modelled using coupled nonlinear evolution equations for the film... Read More about The spreading and stability of a surfactant-laden drop on an inclined prewetted substrate.

Characterisation and optimisation of the GP Thrombus Aspiration Device for the treatment of acute ischaemic stroke (2014)
Presentation / Conference

A thin film on a porous substrate: A two-sided model, dynamics and stability (2012)
Journal Article