Axisymmetric non-Newtonian drops treated with a boundary integral method

Boundary-integral method for poloidal axisymmetric AC magnetic fields

This paper presents a boundary-integral equation (BIE) method for the calculation of poloidal axisymmetric magnetic fields applicable in a wide range of ac frequencies. The method is based on the vector potential formulation and it uses the Green’s functions of Laplace and Helmholtz equations for the exterior and interior of conductors, respectively. The work is particularly focused on a calcul...

A high-order boundary integral method for surface diffusions on elastically stressed axisymmetric rods

Many applications in materials involve surface diffusion of elastically stressed solids. Study of singularity formation and long-time behavior of such solid surfaces requires accurate simulations in both space and time. Here we present a high-order boundary integral method for an elastically stressed solid with axi-symmetry due to surface diffusions. In this method, the boundary integrals for i...

A boundary-integral model for drop deformation between two parallel plates with non-unit viscosity ratio drops

A boundary integral method is presented for drop deformation between two parallel walls for non-unit viscosity ratio systems. To account for the effect of the walls the Green’s functions are modified and all terms for the double-layer potential are derived. The full three-dimensional implementation is validated, and the model is shown to be accurate and consistent. The method is applied to stud...

Boundary Integral Equations for Viscous Flows - non-Newtonian Behavior and Solid Inclusions

Direct boundary integral formulations are developed for the solution of viscous fluid flow problems, specifically for non-Newtonian fluids and fluids containing solids. The partial differential equations are transformed into integral equations by Green’s identities. Here, the velocity field is represented as a combination of hydrodynamic potentials of singleand double-layer, whose densities are...

The Boundary Integral Equation Method