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 … Continue Reading Hagen-Poiseuille flow
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 … Continue Reading Couette Flow (Moving Wall)
Deriving the speed of sound is a main component of any undergraduate textbook in gas dynamics and is very important to understanding more complicated concepts! Here, I will give an honest … Continue Reading Definition of the Speed of Sound
An excellent test case, and case to familiarize yourself with some of the turbulence models available in OpenFOAM is a 2D flat plate with zero pressure gradient. I will solve … Continue Reading Turbulent Zero Pressure Gradient Flat Plate – simpleFOAM, komegaSST
I have already done a post on supersonic flow over 23 degree wedge. In that post, we were intentionally creating a situation where the shock wave would be detached from the … Continue Reading Alternate Set-up: Oblique Shock in rhoCentralFOAM
In this post I go over the numerical solution to the compressible boundary layer equations. This is very useful when a quick estimate of shear stress, wall heat flux, or … Continue Reading Numerical Solution of the Compressible Laminar Boundary Layer Equations
In this post I am going to derive the compressible Euler equations: (1) (2) (3)
In this post I go over the theory of oblique shocks by building on our understand of normal shockwaves! I will give a short overview of the theory and strategy … Continue Reading Oblique Shockwaves
In this post I will go over the set up and solution of a pressure driven nozzle flow with a shock located in the diverging section. This refers to the … Continue Reading Pressure Driven Nozzle Flow with Shock – rhoCentralFoam
In this post I will simulate inviscid Mach 1.5 flow over a 23 degree wedge of a finite height.
Here I have written a Matlab App for calculating compressible aerodynamics using the basic gas dynamics equations. The calculations available are: Isentropic Flow (including Prandtl-Meyer flow) Normal Shocks (See article) … Continue Reading Compressible Aerodynamics Calculator – Matlab
I was recently asked by a class to go over the Newton-Raphson method for solving non-linear equations. Specifically in this case it was to solve 1D gas dynamics equations. Here … Continue Reading Newton-Raphson Method
Shock-waves are a common topic covered in undergraduate thermodynamics, fluid mechanics, and gas dynamics courses. Because shock-waves are awesome, I figured I would do one of my first posts on … Continue Reading Stationary Normal Shock Waves
The classic lid-driven cavity flow problem is solved using the vorticity streamfunction formulation and compared to a solution using OpenFOAM.