Outputs (42)

A novel method for boundary layer flow that uses asymptotics and the Wiener-Hopf technique (2024)
Thesis
Adamu, H. (2024). A novel method for boundary layer flow that uses asymptotics and the Wiener-Hopf technique. (Thesis). University of Salford

We consider the theory by (Chadwick, 2019) on the applications of Navier-Stokeslets (NSlets) by a Green’s integral distribution of fundamental solutions in boundary layer flow which we call BL-lets. This research investigates the application of the t... Read More about A novel method for boundary layer flow that uses asymptotics and the Wiener-Hopf technique.

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)
Conference Proceeding
Chadwick, E. (in press). Existence and smoothness of the Navier-Stokes equation using a Boundary Integral representation.

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.

A novel approach of testing NSlet representation using the classical Blasius flow past a semi-infinite flat plate (2023)
Conference Proceeding
Adamu, H. A., Chadwick, E. A., Borresen, J., Dang, B. C., & Darghoth, R. (in press). A novel approach of testing NSlet representation using the classical Blasius flow past a semi-infinite flat plate.

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 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.

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).