Outputs (26)

A mathematical model for the motion of a micro-robot consisting of three spheres linked with axially aligned retractable arms in Stokes flow that gives expressions for mean distance moved, mean drift velocity and energy efficiency of the non-reciprocal cyclic swimming motion (2023)
Journal Article
Elatrash, L., Chadwick, E., El-Mazuzi, R., Christian, J. M., Wang, Y., Adamu, H. A., & Chadwick, E. (in press). A mathematical model for the motion of a micro-robot consisting of three spheres linked with axially aligned retractable arms in Stokes flow that gives expressions for mean distance moved, mean drift velocity and energy efficiency of the non-reciprocal cyclic swimming motion. Computers and Fluids, 266, https://doi.org/10.1016/j.compfluid.2023.106064

The problem studied was the non-reciprocal cyclic swimming motion of three spheres linked with axially aligned retractable arms in Stokes flow. The arms are assumed to be able to retract at a steady speed to half their length, and then at a later tim... Read More about A mathematical model for the motion of a micro-robot consisting of three spheres linked with axially aligned retractable arms in Stokes flow that gives expressions for mean distance moved, mean drift velocity and energy efficiency of the non-reciprocal cyclic swimming motion.

Existence, Smoothness and Uniqueness (in smooth space) of the Navier-Stokes equation by using a new Boundary Integral representation (2023)
Journal Article
Chadwick, E. Existence, Smoothness and Uniqueness (in smooth space) of the Navier-Stokes equation by using a new Boundary Integral representation. https://doi.org/10.48550/arXiv.2305.14219. Manuscript submitted for publication

Consider an exterior space-time domain where the incompressible Navier-Stokes equation and continuity equation hold with no bodies or force fields present, and smooth velocity at initial time. This is equivalent to the velocity being impulsively inst... Read More about Existence, Smoothness and Uniqueness (in smooth space) of the Navier-Stokes equation by using a new Boundary Integral representation.

An optimisation of a chordwise slot to enhance lateral flow control on a UCAV (2022)
Journal Article
Ali, U., Chadwick, E., & Sugar-Gabor, O. (2022). An optimisation of a chordwise slot to enhance lateral flow control on a UCAV. Incas Bulletin, 14(4), 3-17. https://doi.org/10.13111/2066-8201.2022.14.4.1

This research aims to optimise a chordwise slot so that lateral flow control of a flying wing configuration can be enhanced. This was achieved by maximising the airflow rate over the trailing edge control surfaces of the wing. A higher rate of airf... Read More about An optimisation of a chordwise slot to enhance lateral flow control on a UCAV.

Uniform flow past a closed body at low Reynolds number employing a novel matching in a boundary element formulation (2020)
Journal Article
Dang, B., & Chadwick, E. (2020). Uniform flow past a closed body at low Reynolds number employing a novel matching in a boundary element formulation. Engineering Analysis with Boundary Elements, 119, 95-104. https://doi.org/10.1016/j.enganabound.2020.07.008

Consider a two dimensional steady low Reynolds number flow past a circular cylinder. A boundary integral representation that matches an outer Oseen flow and inner Stokes flow is given, and the matching error is shown to be smallest when the outer dom... Read More about Uniform flow past a closed body at low Reynolds number employing a novel matching in a boundary element formulation.

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).

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.