@Article{CiCP-23-1,
author = {},
title = {An Explicit Formula for Two-Dimensional Singly-Periodic Regularized Stokeslets Flow Bounded by a Plane Wall},
journal = {Communications in Computational Physics},
year = {2018},
volume = {23},
number = {1},
pages = {142--167},
abstract = {<p style="text-align: justify;">We derive a closed form expression for the regularized Stokeslet in two
space dimensions with periodic boundary conditions in the x-direction and a solid
plane wall at y = 0. To accommodate the no-slip condition on the wall, a system of
images for the regularized Stokeslets was used. The periodicity is enforced by writing
all elements of the image system in terms of a Green&#39;s function whose periodic
extension is known. Although the formulation is derived in the context of regularized
Stokeslets, the expression for the traditional (singular) Stokeslet is easily found by taking
the limit as the regularization parameter approaches zero. The new formulation is
validated by comparing results of two test problems: the Taylor infinite waving sheet
and the motion of a cylinder moving near a wall. As an example of an application,
we use our formulation to compute the motion and flow generated by cilia using a
model that does not prescribe the motion so that the beat period and synchronization
of neighboring cilia are a result of the forces developed along the cilia.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2016-0266},
url = {https://global-sci.com/article/80006/an-explicit-formula-for-two-dimensional-singly-periodic-regularized-stokeslets-flow-bounded-by-a-plane-wall}
}