The equations used to describe steady 1D isentropic flow are derived from conservation of mass, momentum, and energy, as well as an equation of state (typically the ideal gas law). These equations are typically described as ratios between the local static properties (p, T, $latex \rho$) and their stagnation property as a function of Mach … Continue reading Equations for Steady 1D Isentropic Flow
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Validation: Turbulent Zero Pressure Gradient Flat Plate – simpleFOAM, komegaSST
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 this problem using the solver simpleFoam and the komegaSST model. Here are the sections of this post: Quick Overview: kω-SST (komegaSST) Boundary Conditions Case set-up … Continue reading Validation: Turbulent Zero Pressure Gradient Flat Plate – simpleFOAM, komegaSST
Compressible Aerodynamics Calculator – Matlab
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) Oblique Shocks Fanno Flow Rayleigh Flow To install simply download the file from the Matlab File Exchange here: http://www.mathworks.com/matlabcentral/fileexchange/56152-compressiblecalccf?s_tid=srchtitle If you downloaded it prior to … Continue reading Compressible Aerodynamics Calculator – Matlab
Newton-Raphson Method
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 I will just do a brief overview of the method, and how its used. I will solve two cases, one where the derivative of the … Continue reading Newton-Raphson Method
Stationary Normal Shock Waves
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 their basic theory. I'm going to try to cover the topic by first providing some context and a clear picture of what a shock wave … Continue reading Stationary Normal Shock Waves