Quasi 1D simulation of a Subsonic-Supersonic Nozzle

What will you do in this project?

In this project, you will solve the quasi 1D Euler's equations to simulate the conditions inside a subsonic supersonic nozzle. You will derive the governing equations for an isentropic inviscid flow through a nozzle in both conservative and non-conservative forms and non-dimensionalize them. You will then solve those equations using the MacCormack's technique. You will apply the appropriate boundary conditions and adopt a time marching procedure with adaptive time step control based on Courant number to arrive a steady-state distribution of flow properties. You will then validate the numerical solution of both forms with the analytical solution and provide a contrast between their solutions through various analyses. You will also perform a grid independence test on the solution.

Benefits of this Project

In this project, you will simulate one of the most important problems in aerospace applications- the convergent-divergent nozzle. You will solve the quasi 1D Euler's equations in Matlab to simulate and study the conditions for an isentropic flow inside a subsonic-supersonic nozzle. This project will provide insights into how a super-sonic aircraft is able to attain such speeds with the help of a simple convergent-divergent nozzle setup.