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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.

A coupled far-field formulation for time-periodic numerical problems in fluid dynamics (2012)
Journal Article
Chadwick, E., & El-Mazuzi, R. (2012). A coupled far-field formulation for time-periodic numerical problems in fluid dynamics. #Journal not on list, 122(4), 661-672. https://doi.org/10.1007/s12044-012-0101-8

Consider uniform flow past an oscillating body generating a time-periodic motion in an exterior domain, modelled by a numerical fluid dynamics solver in the near field around the body. A far-field formulation, based on the Oseen equations, is present... Read More about A coupled far-field formulation for time-periodic numerical problems in fluid dynamics.

On oscillatory oseenlets: the forces generated by them, the far field expansion obtained using them, and their relation to oscillatory stokeslets (2011)
Journal Article
Chadwick, E., & Elmazuzi, R. (2011). On oscillatory oseenlets: the forces generated by them, the far field expansion obtained using them, and their relation to oscillatory stokeslets. #Journal not on list, 9(1),

Consider uniform flow past an oscillating body. Assume that the resulting far-field flow consists of both steady and time periodic components. The time periodic components can be decomposed into a Fourier expansion series of time harmonic components.... Read More about On oscillatory oseenlets: the forces generated by them, the far field expansion obtained using them, and their relation to oscillatory stokeslets.

Oscillatory oseenlets (2011)
Thesis
Elmazuzi, R. Oscillatory oseenlets. (Thesis). University of Salford

Consider uniform flow past an oscillating body. Assume that the resulting far-field flow
consists of both steady and time periodic components. The time periodic component can
be decomposed into a Fourier expansion series of time harmonic terms. The... Read More about Oscillatory oseenlets.

Multiwavelet Collocation Boundary Element Solution of Laplace's Equation (2004)
Conference Proceeding
Amini, S., Elmazuzi, R., & Nixon, S. P. (2004). Multiwavelet Collocation Boundary Element Solution of Laplace's Equation.

In this paper we present the result of a preliminary investigation into the collocation method, based on multiwavelet approximation, for boundary integral equations with analytically standard kernels. We apply the method to the boundary integral solu... Read More about Multiwavelet Collocation Boundary Element Solution of Laplace's Equation.