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Professor Philip Gaskell's Outputs (27)

A Lagrangian for Compressible Flow Focusing on Dissipation due to Thermal Conduction (2024)
Journal Article
Scholle, M., Ismail‐Sutton, S., & Gaskell, P. H. (2025). A Lagrangian for Compressible Flow Focusing on Dissipation due to Thermal Conduction. Studies in Applied Mathematics, 154(1), Article e12791. https://doi.org/10.1111/sapm.12791

With the aim of describing compressible viscous flows by means of a variational principle that takes into account heat conduction, a recently proposed Lagrangian is subjected to a detailed linear wave analysis that stems directly from the Lagrangian.... Read More about A Lagrangian for Compressible Flow Focusing on Dissipation due to Thermal Conduction.

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.

Exact integration of the unsteady incompressible Navier-Stokes equations, gauge criteria, and applications (2018)
Journal Article
Scholle, M., Gaskell, P., & Marner, F. (2018). Exact integration of the unsteady incompressible Navier-Stokes equations, gauge criteria, and applications. Journal of Mathematical Physics, 59(4), Article 043101. https://doi.org/10.1063/1.5031119

An exact first integral of the full, unsteady, incompressible Navier-Stokes equations is achieved in its most general form via the introduction of a tensor potential and parallels drawn with Maxwell’s theory. Subsequent to this gauge freedoms are exp... Read More about Exact integration of the unsteady incompressible Navier-Stokes equations, gauge criteria, and applications.

Steady bilayer channel and free-surface isothermal film flow over topography (2018)
Journal Article
Abdalla, A., Veremieiev, S., & Gaskell, P. (2018). Steady bilayer channel and free-surface isothermal film flow over topography. Chemical Engineering Science, 181, 215-236. https://doi.org/10.1016/j.ces.2018.01.031

Two flow configurations, involving bilayers, are explored systematically: through an inclined channel comprised of two planar surfaces in parallel alignment and down an inclined plane. Both liquid layers are assumed to be perfectly immiscible and the... Read More about Steady bilayer channel and free-surface isothermal film flow over topography.

A complex-valued first integral of Navier-Stokes equations: Unsteady Couette flow in a corrugated channel system (2017)
Journal Article
Marner, F., Gaskell, P., & Scholle, M. (2017). A complex-valued first integral of Navier-Stokes equations: Unsteady Couette flow in a corrugated channel system. Journal of Mathematical Physics, 58(4), Article 043102. https://doi.org/10.1063/1.4980086

For a two-dimensional incompressible viscous flow, a first integral of the governing equations of motion is constructed based on a reformulation of the unsteady Navier-Stokes equations in terms of complex variables and the subsequent introduction of... Read More about A complex-valued first integral of Navier-Stokes equations: Unsteady Couette flow in a corrugated channel system.

Free Surface Thin Film Flow of a Sisko’s Fluid over a Surface Topography (2017)
Journal Article
Shah, R., Gaskell, P., & Veremieiev, S. (2017). Free Surface Thin Film Flow of a Sisko’s Fluid over a Surface Topography. Journal of applied fluid mechanics, 10(1), 307-317. https://doi.org/10.18869/acadpub.jafm.73.238.26727

The flow of a thin film down an inclined surface over topography is considered for the case of liquids with Sisko’s model viscosity. For the first time lubrication theory is used to reduce the governing equations to a non-linear evolution equation fo... Read More about Free Surface Thin Film Flow of a Sisko’s Fluid over a Surface Topography.

Jet flame heights, lift-off distances, and mean flame surface density for extensive ranges of fuels and flow rates (2016)
Journal Article
Bradley, D., Gaskell, P. H., Gu, X., & Palacios, A. (2016). Jet flame heights, lift-off distances, and mean flame surface density for extensive ranges of fuels and flow rates. Combustion and Flame, 164, 400-409. https://doi.org/10.1016/j.combustflame.2015.09.009

An extensive review and re-thinking of jet flame heights and structure, extending into the choked/supersonic regime is presented, with discussion of the limitations of previous flame height correlations. Completely new dimensionless correlations for... Read More about Jet flame heights, lift-off distances, and mean flame surface density for extensive ranges of fuels and flow rates.

Free-surface film flow over topography: full three-dimensional finite element solutions (2015)
Journal Article
Veremieiev, S., Thompson, H., & Gaskell, P. (2015). Free-surface film flow over topography: full three-dimensional finite element solutions. Computers and Fluids, 122, 66-82. https://doi.org/10.1016/j.compfluid.2015.08.016

An efficient Bubnov-Galerkin finite element formulation is employed to solve the Navier-Stokes and continuity equations in three-dimensions for the case of surface-tension dominated film flow over substrate topography, with the free-surface location... Read More about Free-surface film flow over topography: full three-dimensional finite element solutions.