This post is a simple demonstration of the timeVaryingFixedUniformValue boundary condition. This boundary condition allows a Dirichlet-type boundary condition to be varied in time. To demonstrate, we will modify the oscillating cylinder case. Set-Up Instead of using the oscillating boundary condition for point displacement. We will have the cylinder do two things: Move in a … Continue reading Time-Varying Cylinder Motion in Cross-flow: timeVaryingFixedUniformValue
Tag: Navier-Stokes
Hagen-Poiseuille flow
Here, I am going to go over the solution to fully developed laminar pipe flow. This is a canonical problem and provides an exact solution to the Navier-Stokes equations. It is often referred to as the Hagen-Poiseuille flow problem. The problem is depicted in the figure below: In this problem, we are examining laminar flow … Continue reading Hagen-Poiseuille flow
Couette Flow (Moving Wall)
In this post I am going to go through the solution to the moving wall Couette flow problem. An illustration of the problem is given below: In this problem, the fluid between two parallel plates is being driven by the motion of the top plate. Here, we assume that the flow is axial (v=w=0), incompressible (ρ=constant), … Continue reading Couette Flow (Moving Wall)