## Conducting Sphere

## Conducting Sphere

This verification example considers a perfectly conducting sphere placed between two charged capacitor plates. An axisymmetric solution for the electrostatic potential is compared with a full 3D one, and verified against the analytical solution U(xi) = E0*(r3/xi2 - xi), where the electrical field is the potential …

## Heat Induced Stress in a Brake Disc

## Heat Induced Stress in a Brake Disc

This multiphysics model examines temperature and heat induced stresses for one braking cycle in a brake disc assembly, and involves coupling of the stress-strain and heat transfer physics modes. The braking process consists of applying a brake pad to the front part of the disc which induces heat through friction, and …

## Axisymmetric Fluid Flow

## Axisymmetric Fluid Flow

FEATool is designed to be able to perform complex multiphysics simulations in arbitrary dimensions (1D, 2D, and 3D). However, running full 3D simulations often requires a significant amount of computational resources in the form of memory and simulation time. It is therefore desirable to find simplifications to reduce …

## Flow in Porous Media

## Flow in Porous Media

Axisymmetric laminar fluid flow in a diffusor duct or reaction chamber blocked by sections of a porous material. The model features several partially active subdomains with the Brinkman equations governing the fluid flow. The flow field with and without the porous material is compared. This model is available as an …

## Spherical Capacitor

## Spherical Capacitor

Model of an electrostatic spherical capacitor. The example makes use of a 2D axisymmetric approximation with three subdomains, where an electric charge is applied between the middle insulating layer. For this configuration the analytic capacitance can be calculated as 4*πεrε0/dr, where dr is the thickness of the …

## Vibration Modes of a Hollow Cylinder

## Vibration Modes of a Hollow Cylinder

This model studies the vibration modes of a free and hollow cylinder using an axisymmetric approximation. No loads or constrains are applied as the free modes are sought. The cylinder is 10 m long, has a center diameter of 2 m, and is 0.4 m thick. Moreover, the material of the cylinder is considered to be steel with E …

## Axisymmetric Swirling Flows

## Axisymmetric Swirling Flows

Fluid flows with swirl effects can occur in rotationally symmetric geometries where the azimuthal or angular velocity component is non-zero. In this case one must solve the fully three-dimensional Navier-Stokes equations. However, due to the assumption that azimuthal variations can be neglected, it is still sufficient …