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)