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
Tag: gas dynamics
Definition of the Speed of Sound
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 attempt to explain and provide definitions of what it is and why it is important .I will go through the derivation of the speed of … Continue reading Definition of the Speed of Sound
Oblique Shockwaves
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 for analysis. Here is a summary of the contents of this post: Introduction to oblique shocks Analysis of the oblique shock Working relations for an oblique … Continue reading Oblique Shockwaves
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
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