Solving for your own Sutherland Coefficients using Python

Sutherland's equation is a useful model for the temperature dependence of the viscosity of gases. I give a few details about it in this post: https://curiosityfluids.com/2019/02/15/sutherlands-law/ The law given by: $latex \mu=\mu_o\frac{T_o + C}{T+C}\left(\frac{T}{T_o}\right)^{3/2}&s=1$ It is also often simplified (as it is in OpenFOAM) to: $latex \mu=\frac{C_1 T^{3/2}}{T+C}=\frac{A_s T^{3/2}}{T+T_s}&s=1$ In order to use these equations, … Continue reading Solving for your own Sutherland Coefficients using Python

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)