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The leading order equivalence of Oseen’s and Imai’s representations (2019)
Conference Proceeding
Adamu, H., & Chadwick, E. The leading order equivalence of Oseen’s and Imai’s representations. In C. Fresneda-Portillo (Ed.), Proceedings of the 12th UK Conference on Boundary Integral Methods UKBIM12

Consider the far-field behind a body in a steady, two-dimensional uniform flow field. In the far-field the Oseen linearisation is valid, and in the far-field wake Imai’s asymptotic expansion is applicable. The fundamental solution Green’s function o... Read More about The leading order equivalence of Oseen’s and Imai’s representations.

A Green’s integral representation for the two-dimensional steady Navier-Stokes equation (2019)
Conference Proceeding
Chadwick, E. (2019). A Green’s integral representation for the two-dimensional steady Navier-Stokes equation. In . C. Fresneda-Portillo (Ed.), Proceedings of the 12th UK Conference on Boundary Integral Methods UKBIM12

Consider steady uniform flow past a fixed, closed body in an unbounded domain governed by the incompressible Navier-Stokes equations. A velocity representation is given as an integral distribution of Green’s functions of the Navier-Stokes equations... Read More about A Green’s integral representation for the two-dimensional steady Navier-Stokes equation.

BEM for low Reynolds number flow past a steady circular cylinder in an unbounded domain (2019)
Conference Proceeding
Dang, B., & Chadwick, E. (2019). BEM for low Reynolds number flow past a steady circular cylinder in an unbounded domain. In C. Fresneda-Portillo (Ed.),

Consider a two dimensional steady low Reynolds number flow past a circular cylinder. The theoretical treatment in Chadwick [1] is detailed and elaborated. A Boundary Integral representation that matches an outer Oseen flow and inner Stokes flow is gi... Read More about BEM for low Reynolds number flow past a steady circular cylinder in an unbounded domain.

The theory and application of eulerlets (2019)
Journal Article
Chadwick, E., Christian, J., Kapoulas, A., & Chalasani, K. (2019). The theory and application of eulerlets. Physics of Fluids, 31(4), 047106. https://doi.org/10.1063/1.5088132

Consider a fixed body in a uniform flow field in the limit as the Reynolds number approaches infinity and the flow field remains steady. Instead of using standard techniques and theory for describing the problem, a new method is employed based upon t... Read More about The theory and application of eulerlets.

Modelling the electrical resistivity of concrete with varied water and chloride contents (2019)
Journal Article
Xiang, N., Wang, Y., Oleiwi, H., Chadwick, E., Yao, G., Augusthus Nelson, L., …Shabalin, I. (2020). Modelling the electrical resistivity of concrete with varied water and chloride contents. Magazine of Concrete Research, 72(11), 552-563. https://doi.org/10.1680/jmacr.18.00198

The electrical resistivity of concrete is an important property in the assessment of reinforcement corrosion in concrete and an essential parameter in the design and operation of cathodic protection for reinforced-concrete (RC) structures. Water and... Read More about Modelling the electrical resistivity of concrete with varied water and chloride contents.

Using eulerlets to model steady uniform flow past a circular cylinder (2018)
Journal Article
Chadwick, E., Christian, J., & Chalasani, K. (2018). Using eulerlets to model steady uniform flow past a circular cylinder. European Journal of Computational Mechanics, 27(5-6), 469-478. https://doi.org/10.1080/17797179.2018.1550960

Consider uniform, steady flow past a circular cylinder at Reynolds numbers 26, 36 and 40 before the flow becomes unsteady. Model the flow by using eulerlets, new Green’s functions for Euler flow. This is the first time this eulerlet model has been us... Read More about Using eulerlets to model steady uniform flow past a circular cylinder.

Making conditionally negative definite radial basis function interpolation well-conditioned by adding cardinal basis functions (2017)
Journal Article
Kazem, S., Chadwick, E. A., & Hatam, A. (2018). Making conditionally negative definite radial basis function interpolation well-conditioned by adding cardinal basis functions. Ain Shams Engineering Journal ASEJ / Ain Shams University, 9(4), 2587-2598. https://doi.org/10.1016/j.asej.2017.03.013

A class of basis functions so called well-conditioned RBF (WRBFs) has been introduced. This basis has been manipulated by adding cardinal functions to the conditionally negative definite RBFs of order 1, such as Multiquadric functions. The condition... Read More about Making conditionally negative definite radial basis function interpolation well-conditioned by adding cardinal basis functions.

Experimental study and modelling of the thermal conductivity of sandy soils of different porosities and water contents (2017)
Journal Article
and water contents. Applied Sciences, 7(2), 119. https://doi.org/10.3390/app7020119

This paper at first reports an experimental work to test the thermal conductivity of formulated sandy soil specimens of different porosities and water contents. Both needle probe and hot-plate methods were conducted and compared. It has been confirme... Read More about Experimental study and modelling of the thermal conductivity of sandy soils of different porosities and water contents.

Flow control and high-lift performance for flying-wing manned Combat Air Vehicle Configurations by inserting lots (2016)
Journal Article
Ali, U., & Chadwick, E. (2016). Flow control and high-lift performance for flying-wing manned Combat Air Vehicle Configurations by inserting lots. International Journal of Multiphysics, 10(2), https://doi.org/10.21152/1750-9548.10.2.117

The objectives of the present study on Unmanned Combat Air Vehicles (UCAVs) are two-fold: first to control the flow by inserting leading-edge and cross-flow slots and analysing the viscous flow development over the outer panels of a flying-wing co... Read More about Flow control and high-lift performance for flying-wing manned Combat Air Vehicle Configurations by inserting lots.

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.