Semi-analytical solutions for two-dimensional elastic capsules in Stokes flow

Semi-analytic solutions for elastic capsules in 2D flow

Elastic capsules occur in nature in the form of cells and vesicles and are manufactured for biomedical applications. They are widely modeled but there are few analytical results. In this paper, complex variable techniques are used to derive semi-analytic solutions for the steady-state response and timedependent evolution of elastic capsules in 2D Stokes flow. This provides a complete picture of...

Semi - analytic solutions for elastic capsules in 2 D

Analytical solutions for two-dimensional Stokes flow singularities in a no-slip wedge of arbitrary angle

An analytical method to find the flow generated by the basic singularities of Stokes flow in a wedge of arbitrary angle is presented. Specifically, we solve a biharmonic equation for the stream function of the flow generated by a point stresslet singularity and satisfying no-slip boundary conditions on the two walls of the wedge. The method, which is readily adapted to any other singularity typ...

Elastic capsules in shear flow: analytical solutions for constant and time-dependent shear rates.

We investigate the dynamics of microcapsules in linear shear flow within a reduced model with two degrees of freedom. In previous work for steady shear flow, the dynamic phases of this model, i.e. swinging, tumbling and intermittent behaviour, have been identified using numerical methods. In this paper, we integrate the equations of motion in the quasi-spherical limit analytically for time-cons...

Semi-Analytical Solution for Elastic Impact of Two Beams

Original scientific paper This paper presents semi-analytical solution for the problem of elastic impact of two beams. The solution is based on the finite element discretization of the structure and equation of motion solution using diagonalization method for solving a system of differential equations. This procedure avoids temporal discretization typical for numerical methods, and in this way ...