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The theory and application of Navier-Stokeslets (NSlets) (2019)
Journal Article
Chadwick, E. (2019). The theory and application of Navier-Stokeslets (NSlets). Physics of Fluids, 31(10), 107103. https://doi.org/10.1063/1.5119331

Consider a closed body moving in an unbounded fluid that decays to rest in the far-field and governed by the incompressible Navier-Stokes equations. By considering a translating reference frame, this is equivalent to a uniform flow past the body. A... Read More about The theory and application of Navier-Stokeslets (NSlets).

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.

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.

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.

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.