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Assessing Performance of Morphology Particle Swarm Optimization (Morph-PSO) on Standard Benchmark Functions (2024)
Presentation / Conference Contribution

The search boundary is a critical aspect of optimization problems. Understanding the limits of the search boundary can help prevent solutions from exiting the search area and assist optimization algorithms in converging more rapidly. Typi-cally, opti... Read More about Assessing Performance of Morphology Particle Swarm Optimization (Morph-PSO) on Standard Benchmark Functions.

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 and smoothness of the Navier-Stokes equation using a Boundary Integral representation (2023)
Presentation / Conference Contribution

In the current study we determine existence and smoothness of the Navier-Stokes equation as described in the Millennium problem [1]. This considers an exterior space-time domain where the incompressible Navier-Stokes equation and continuity equation... Read More about Existence and smoothness of the Navier-Stokes equation using a Boundary Integral representation.

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.

Using triple deck theory for flow past a finite flat plate as a benchmark to test the Boundary Integral NSlet representation (2023)
Presentation / Conference Contribution

Consider the new theory by Chadwick [1] that describe the incompressible Navier-Stokes equations by an integral distribution of Navier-Stokes fundamental solutions called NSlets. Let us test this against triple deck theory for flow past a finite flat... Read More about Using triple deck theory for flow past a finite flat plate as a benchmark to test the Boundary Integral NSlet representation.

A novel approach of testing NSlet representation using the classical Blasius flow past a semi-infinite flat plate (2023)
Presentation / Conference Contribution

Consider the new theory by Chadwick [1] that describe the incompressible Navier-Stokes equations by an integral distribution of Navier-Stokes fundamental solutions called NSlets. This paper tests this theory against the classical non-linear Blasius p... Read More about A novel approach of testing NSlet representation using the classical Blasius flow past a semi-infinite flat plate.

An experimental test for the existence of the Euler wake velocity, validating Eulerlet theory by using a bluff body in a low-speed wind tunnel (2020)
Thesis
Chalasani, K. An experimental test for the existence of the Euler wake velocity, validating Eulerlet theory by using a bluff body in a low-speed wind tunnel. (Thesis). University of Salford

The application of manoeuvrability problems in aerodynamics mainly works for Reynolds average Navier-Stokes equations particularly for a uniform, steady flow past a fixed body. Further, consider large Reynolds number such that the flow is not turbule... Read More about An experimental test for the existence of the Euler wake velocity, validating Eulerlet theory by using a bluff body in a low-speed wind tunnel.

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.

A novel boundary element method for low Reynolds number external flow of biological fluid dynamics (2020)
Thesis
Dang, B. A novel boundary element method for low Reynolds number external flow of biological fluid dynamics. (Thesis). University of Salford

Consider two dimensional low Reynolds number flow past a body. In this thesis, the problems of steady flow past a circular cylinder, steady flow past an elliptical cylinder, and the motion of a generic tail-like body are investigated. The theoretical... Read More about A novel boundary element method for low Reynolds number external flow of biological fluid dynamics.

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.

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.