THE ROLE OF THERMOVISCOUS AND THERMOCAPILLARY EFFECTS IN THE COOLING OF A MOLTEN FREE LIQUID FILM DRAINING DUE TO GRAVITY (2023)
Journal Article
Naire. (2023). THE ROLE OF THERMOVISCOUS AND THERMOCAPILLARY EFFECTS IN THE COOLING OF A MOLTEN FREE LIQUID FILM DRAINING DUE TO GRAVITY. Fluids, https://doi.org/10.3390/fluids8050153

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.

Non-Newtonian and viscoplastic models of a vertically-aligned thick liquid film draining due to gravity (2022)
Journal Article
Naire, S., & Alahmadi, H. N. (2022). Non-Newtonian and viscoplastic models of a vertically-aligned thick liquid film draining due to gravity. Physics of Fluids, 34(1), https://doi.org/10.1063/5.0075248

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.

A mathematical model of cartilage regeneration after chondrocyte and stem cell implantation - II: The effects of co-implantation (2019)
Journal Article
Naire, & Kuiper. (2019). A mathematical model of cartilage regeneration after chondrocyte and stem cell implantation - II: The effects of co-implantation. Journal of Tissue Engineering, 1-14. https://doi.org/10.1177/2041731419827792

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
Campbell, K., Kuiper, J., & Naire, S. (2019). A mathematical model of cartilage regeneration after chondrocyte and stem cell implantation - I: The effects of growth factors. Journal of Tissue Engineering, 1-16. https://doi.org/10.1177/2041731419827791

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 two-dimensional thin film flow equations with surface tension (2019)
Journal Article
Alharbi, A., & Naire, S. (2019). An adaptive moving mesh method for two-dimensional thin film flow equations with surface tension. Journal of Computational and Applied Mathematics, 365, 219-230. https://doi.org/10.1016/j.cam.2019.02.010

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.

An adaptive moving mesh method for thin film flow equations with surface tension (2017)
Journal Article
Naire. (2017). An adaptive moving mesh method for thin film flow equations with surface tension. Journal of Computational and Applied Mathematics, 365-384. https://doi.org/10.1016/j.cam.2017.01.019

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.

The spreading and stability of a surfactant-laden drop on an inclined prewetted substrate (2015)
Journal Article
Naire. (2015). The spreading and stability of a surfactant-laden drop on an inclined prewetted substrate. Journal of Fluid Mechanics, 5-24. https://doi.org/10.1017/S0022112005008104

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.