Lecture 26: PDEs and boundary layers

[@mahhagogo]

I love your lectures. Understandable to a non-mathematician who loves math. Looks like the subject of this lecture has implications for rocket engine design.

[@emsihongg4868]

I am a bit surprised that this wave variable ansatz works out. this ansatz seems strange to me, because the equation is more or less a heat and not a wave equation. Is there some intuition on why this ansatz makes sense or how those two equations relate?

[@stevenstrogatz1]

Diffusion equations can support waves if they also have reaction terms. Look up the literature on "reaction-diffusion" equations, which are very common in mathematical biology and some parts of chemistry, combustion engineering, etc.

[@miaochengxi2731]

very good lecture in mathematical combustion,

[@JeffMTX]

Is there an Oxidizer concentration field anywhere?

[@abdullahyasinyagmur4687]

I may be wrong about this but the reason why the oxidizer concentration is not considered, is due to the fact that the fuel is assumed to be deficient meaning there is a large excess of the oxidizer so there is little to no change in the concentration of the oxidizer hence no inclusion of the oxidizer concentration. Again I may be wrong about this