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Formation and evolution of vortex rings with weak to moderate swirl (2023)
Journal Article
Ortega Chavez, R., Gan, L., & Gaskell, P. (2023). Formation and evolution of vortex rings with weak to moderate swirl. Journal of Fluid Mechanics, 967, Article A16

The formation of swirling vortex rings and their early time evolution, resulting from the controlled discharge of an incompressible, Newtonian fluid into a stationary equivalent fluid bulk, is explored for weak to moderate swirl number S∈[0,1]. Two... Read More about Formation and evolution of vortex rings with weak to moderate swirl.

A new hysteresis simulation method for interpreting the magnetic properties of non-oriented electrical steels (2023)
Journal Article
Zhang, Z., Hamzehbahmani, H., & Gaskell, P. (2023). A new hysteresis simulation method for interpreting the magnetic properties of non-oriented electrical steels. Journal of Magnetism and Magnetic Materials, 576, Article 170763. https://doi.org/10.1016/j.jmmm.2023.170763

The magnetic properties of non-oriented electrical steels (NOESs) are characterized using an analytical simulation method accounting for the microstructures in ferromagnetic materials. Complementary experimental data for thin sheet laminations, obtai... Read More about A new hysteresis simulation method for interpreting the magnetic properties of non-oriented electrical steels.

An advanced, comprehensive thermochemical equilibrium model of a downdraft biomass gasifier (2022)
Journal Article
Ibrahim, A., Veremieiev, S., & Gaskell, P. (2022). An advanced, comprehensive thermochemical equilibrium model of a downdraft biomass gasifier. Renewable Energy, 194, https://doi.org/10.1016/j.renene.2022.05.069

A stoichiometric model is formulated for predicting the syngas yield from the reduction zone of a downdraft biomass gasifier. It incorporates the thermodynamic equilibrium of the global gasification reaction, predicts the concentration of the minor g... Read More about An advanced, comprehensive thermochemical equilibrium model of a downdraft biomass gasifier.

A Novel Dynamic Hysteresis Model for Grain-Oriented Electrical Steels Based on Magnetic Domain Theory (2021)
Journal Article
Zhang, Z., Hamzehbahmani, H., & Gaskell, P. H. (2022). A Novel Dynamic Hysteresis Model for Grain-Oriented Electrical Steels Based on Magnetic Domain Theory. IEEE Transactions on Magnetics, 58(1), 1-9. https://doi.org/10.1109/tmag.2021.3128765

A novel approach is adopted to model the hysteresis phenomenon of grain-oriented electrical steels (GOESs), by incorporating a variation of the domain patterns associated with ferromagnetic materials during magnetization and demagnetization. The ensu... Read More about A Novel Dynamic Hysteresis Model for Grain-Oriented Electrical Steels Based on Magnetic Domain Theory.

Gravity-driven film flow down a uniformly heated smoothly corrugated rigid substrate (2021)
Journal Article
Daly, G., Veremieiev, S., & Gaskell, P. (2022). Gravity-driven film flow down a uniformly heated smoothly corrugated rigid substrate. Journal of Fluid Mechanics, 930, Article A23. https://doi.org/10.1017/jfm.2021.920

Gravity induced film flow over a rigid smoothly corrugated substrate heated uniformly from below, is explored. This is achieved by reducing the governing equations of motion and energy conservation to a manageable form within the mathematical framewo... Read More about Gravity-driven film flow down a uniformly heated smoothly corrugated rigid substrate.

Multilayer Modelling of Lubricated Contacts: A New Approach Based on a Potential Field Description (2020)
Book Chapter
Scholle, M., Mellmann, M., Gaskell, P. H., Westerkamp, L., & Marner, F. (2020). Multilayer Modelling of Lubricated Contacts: A New Approach Based on a Potential Field Description. In G. Ostermeyer, V. L. Popov, E. V. Shilko, & O. S. Vasiljeva (Eds.), Multiscale biomechanics and tribology of inorganic and organic system (359-375). Springer Verlag. https://doi.org/10.1007/978-3-030-60124-9_16

A first integral approach, derived in an analogous fashion to Maxwell’s use of potential fields, is employed to investigate the flow characteristics, with a view to minimising friction, of shear-driven fluid motion between rigid surfaces in parallel... Read More about Multilayer Modelling of Lubricated Contacts: A New Approach Based on a Potential Field Description.

A first integral form of the energy-momentum equations for viscous flow, with comparisons drawn to classical fluid flow theory (2020)
Journal Article
Scholle, M., Marner, F., & Gaskell, P. (2020). A first integral form of the energy-momentum equations for viscous flow, with comparisons drawn to classical fluid flow theory. European Journal of Mechanics - B/Fluids, 84, 262-271. https://doi.org/10.1016/j.euromechflu.2020.06.010

An elegant four-dimensional Lorentz-invariant first-integral of the energy-momentum equations for viscous flow, comprised of a single tensor equation, is derived assuming a flat space–time and that the energy momentum tensor is symmetric. It represen... Read More about A first integral form of the energy-momentum equations for viscous flow, with comparisons drawn to classical fluid flow theory.

Potential Fields in Fluid Mechanics: A Review of Two Classical Approaches and Related Recent Advances (2020)
Journal Article
Scholle, M., Marner, F., & Gaskell, P. (2020). Potential Fields in Fluid Mechanics: A Review of Two Classical Approaches and Related Recent Advances. Water, 12(5), Article 1241. https://doi.org/10.3390/w12051241

The use of potential fields in fluid dynamics is retraced, ranging from classical potential theory to recent developments in this evergreen research field. The focus is centred on two major approaches and their advancements: (i) the Clebsch transform... Read More about Potential Fields in Fluid Mechanics: A Review of Two Classical Approaches and Related Recent Advances.

A Potential Field Description for Gravity-Driven Film Flow over Piece-Wise Planar Topography (2019)
Journal Article
Scholle, M., Gaskell, P. H., & Marner, F. (2019). A Potential Field Description for Gravity-Driven Film Flow over Piece-Wise Planar Topography. Fluids, 4(2), Article 82. https://doi.org/10.3390/fluids4020082

Models based on a potential field description and corresponding first integral formulation, embodying a reduction of the associated dynamic boundary condition at a free surface to one of a standard Dirichlet-Neumann type, are used to explore the prob... Read More about A Potential Field Description for Gravity-Driven Film Flow over Piece-Wise Planar Topography.

Competing Lagrangians for incompressible and compressible viscous flow (2019)
Journal Article
Marner, F., Scholle, M., Herrmann, D., & Gaskell, P. (2019). Competing Lagrangians for incompressible and compressible viscous flow. Royal Society Open Science, 6(1), Article 181595. https://doi.org/10.1098/rsos.181595

A recently proposed variational principle with a discontinuous Lagrangian for viscous flow is reinterpreted against the background of stochastic variational descriptions of dissipative systems, underpinning its physical basis from a different viewpoi... Read More about Competing Lagrangians for incompressible and compressible viscous flow.