All Outputs (5)

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.

Using triple deck theory for flow past a finite flat plate as a benchmark to test the Boundary Integral NSlet representation (2023)
Conference Proceeding
Dang, B. C., & Chadwick, E. A. (in press). Using triple deck theory for flow past a finite flat plate as a benchmark to test the Boundary Integral NSlet representation.

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)
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.