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The exponential function method for solving nonlinear ordinary differential equations with constant coefficients on a semi-infinite domain (2016)
Journal Article
Chadwick, E., Hatam, A., & Kazem, S. (2016). The exponential function method for solving nonlinear ordinary differential equations with constant coefficients on a semi-infinite domain. Proceedings Mathematical Sciences, 126(1), 79-97. https://doi.org/10.1007/s12044-015-0254-3

A new approach, named the Exponential Function Method (EFM) is used to obtain solutions to nonlinear ordinary differential equations with constant coefficients in a semi-infinite domain. The form of the solutions of these problems is considered to... Read More about The exponential function method for solving nonlinear ordinary differential equations with constant coefficients on a semi-infinite domain.

Using generating functions to convert an implicit (3,3) finite difference method to an explicit form on diffusion equation with different boundary conditions (2015)
Journal Article
Kazem, S., Chadwick, E., Hatam, A., & Deghan, M. (2015). Using generating functions to convert an implicit (3,3) finite difference method to an explicit form on diffusion equation with different boundary conditions. Numerical Algorithms, 71(4), 827-854. https://doi.org/10.1007/s11075-015-0026-2

In this article, our main goal is to develop an idea to convert an implicit (3,3) Ø-scheme finite difference method to an explicit form for both linear and nonlinear diffusion equations and also for nonlinear advection-diffusion equation with differe... Read More about Using generating functions to convert an implicit (3,3) finite difference method to an explicit form on diffusion equation with different boundary conditions.

Emotional intelligence in STEM (2014)
Journal Article
Singh, M., & Chadwick, E. (2014). Emotional intelligence in STEM. Mathematics today, Dec, 212-214

Using eulerlets to give a boundary integral formulation in euler flow and discussion on applications (2014)
Journal Article
Chadwick, E., & Kapoulas, A. (2014). Using eulerlets to give a boundary integral formulation in euler flow and discussion on applications. https://doi.org/10.3970/cmes.2014.102.331

Boundary element models in inviscid (Euler) flow dynamics for a manoeuvring body are difficult to formulate even for the steady case; Although the potential satisfies the Laplace equation, it has a jump discontinuity in twodimensional flow relating t... Read More about Using eulerlets to give a boundary integral formulation in euler flow and discussion on applications.

Gravitational theoretical development supporting MOND (2013)
Journal Article
Chadwick, E., Hodgkinson, T., & McDonald, G. (2013). Gravitational theoretical development supporting MOND. Physical Review D - Particles, Fields, Gravitation and Cosmology, 88(024036), https://doi.org/10.1103/PhysRevD.88.024036

Conformal geometry is considered within a general relativistic framework. An invariant distant for proper time is defined and a parallel displacement is applied in the distorted space-time, modifying Einstein’s equation appropriately. A particular so... Read More about Gravitational theoretical development supporting MOND.

An extension to thin aerofoil theory obtained by using eulerlets and oseenlets (2013)
Thesis
Kapoulas, A. An extension to thin aerofoil theory obtained by using eulerlets and oseenlets. (Thesis). University of Salford

An extension and theoretical underpinning of thin aerofoil theory is given. To enable this requires first a novel mathematical representation for a new matched asymptotic approach. The new matched asymptotic approach is to match near - field Euler... Read More about An extension to thin aerofoil theory obtained by using eulerlets and oseenlets.

Assessing student teams developing mathematical models applied to business and industrial mathematics (2011)
Journal Article
Chadwick, E., Sandiford, K., & Percy, D. (2011). Assessing student teams developing mathematical models applied to business and industrial mathematics. MSOR Connections, 11(3), 22-24

Using case studies and group work, this project attempted to provide students with experience of business and industrial working practices and also to address the issue of how to solve practical mathematical problems. Students were organised into tea... Read More about Assessing student teams developing mathematical models applied to business and industrial mathematics.

Experimental verification and computational comparison of an oseen flow slender body theory (2010)
Thesis
Khan, H. Experimental verification and computational comparison of an oseen flow slender body theory. (Thesis). Salford : University of Salford

This project further develops recent work which proposes a new theory that predicts the forces on slender bodies, and slender and thin wings. A steady, incompressible uniform field for high Reynolds numbers (although aerodynamically low-speed) is a... Read More about Experimental verification and computational comparison of an oseen flow slender body theory.

Experimental verification of an Oseen flow slender body theory (2010)
Journal Article
Chadwick, E., Khan, H., Moatamedi, M., Mappin, M., & Penney, M. (2010). Experimental verification of an Oseen flow slender body theory. Journal of Fluid Mechanics, 654, 271-279. https://doi.org/10.1017/S0022112010001333

Consider uniform flow past four slender bodies with elliptical cross-section of constant ellipticity along the length of 0, 0.125, 0.25 and 0.375, respectively, for each body. Here, ellipticity is defined as the ratio of the semiminor axis of the e... Read More about Experimental verification of an Oseen flow slender body theory.

A slender body theory in oseen flow obtained by expanding the Oseenlets in the Green's integral representation (2009)
Journal Article
Chadwick, E. (2009). A slender body theory in oseen flow obtained by expanding the Oseenlets in the Green's integral representation. Fluid Dynamics Research, 41(4), 045508. https://doi.org/10.1088/0169-5983/41/4/045508

Consider steady, uniform flow at a small angle of incidence to a slender body. Let us assume that Oseen flow, the far field approximation obtained by linearizing the velocity about the uniform flow velocity, also holds in a near-field region that conti... Read More about A slender body theory in oseen flow obtained by expanding the Oseenlets in the Green's integral representation.

The vortex line in steady, incompressible Oseen flow (2006)
Journal Article
Chadwick, E. (2006). The vortex line in steady, incompressible Oseen flow. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 462(2066), 391-401. https://doi.org/10.1098/rspa.2005.1593

The horseshoe vortex is given in Oseen flow as a constant spanwise distribution of lift Oseenlets. From this, the vortex line is represented in steady, incompressible Oseen flow. The velocity near to the vortex line is determined, as well as near to... Read More about The vortex line in steady, incompressible Oseen flow.

A slender-wing theory in potential flow (2005)
Journal Article
Chadwick, E. (2005). A slender-wing theory in potential flow. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 461(2054), 415-432. https://doi.org/10.1098/rspa.2004.1295

Consider uniform, steady potential flow past a slender wing. By considering a horseshoe vortex in the limit as γ/Us → ∞, where γ is the circulation, U is the uniform stream velocity and s is the span, a model representing a vortex sheet is obtained f... Read More about A slender-wing theory in potential flow.

An investigation into inviscid theory applied to manoeuvring bodies in fluid (2005)
Thesis
Hatam, A. An investigation into inviscid theory applied to manoeuvring bodies in fluid. (Thesis). Salford : University of Salford

This thesis focuses on the appropriateness of the inviscid potential flow model for determining the manoeuvring characteristics of a body moving through fluid. This model is widespread in many key applications for ships, submarines, aircraft, rocke... Read More about An investigation into inviscid theory applied to manoeuvring bodies in fluid.

Manoeuvring characteristics of slender bodies through fluid (2004)
Thesis
Fishwick, N. Manoeuvring characteristics of slender bodies through fluid. (Thesis). Salford : University of Salford

This research addresses the difficulties in determining the manoeuvring characteristics of a slender body through a fluid. This work has direct applicability in many areas of hydrodynamics and aerodynamics. For example the manoeuvring of ships and... Read More about Manoeuvring characteristics of slender bodies through fluid.

A slender-body theory in Oseen flow (2002)
Journal Article
Chadwick, E. (2002). A slender-body theory in Oseen flow. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 458(2024), 2007-2016. https://doi.org/10.1098/rspa.2002.0996

Consider steady flow generated by a uniform velocity field past a fixed closed slender body whose major axis is aligned closely to the uniform stream direction. Let us assume Oseen flow with the slip boundary condition. A slender-body theory is prese... Read More about A slender-body theory in Oseen flow.

An investigation of the Oseen differential equations for the boundary layer
Thesis
Darghoth, R. (in press). An investigation of the Oseen differential equations for the boundary layer. (Thesis). University of Salford

The thesis is on an investigation of the Oseen partial differential equations for the problem of laminar boundary layer flow for the steady two-dimensional case of an incompressible, viscous fluid with the boundary conditions that the velocity at the... Read More about An investigation of the Oseen differential equations for the boundary layer.

The diffraction of monsters from complex apertures
Thesis
Middleton-Spencer, H. (in press). The diffraction of monsters from complex apertures. (Dissertation). University of Salford

The research presented in this MSc thesis is concerned with understanding the way incoming electromagnetic waves are diffracted by various different types of scattering screens. These classes of problem are fundamental in the laser optics community,... Read More about The diffraction of monsters from complex apertures.

A novel optimised design using slots for flow control and high-lift performance of UCAVs
Thesis
Ali, U. (in press). A novel optimised design using slots for flow control and high-lift performance of UCAVs. (Thesis). University of Salford

In this study, two UCAV planforms are considered based around generic 40° edge-aligned configurations. One configuration has a moderate leading and trailing edges sweep of Λ = 40°, while the other configuration is highly swept with a leading-edge swe... Read More about A novel optimised design using slots for flow control and high-lift performance of UCAVs.