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.
The nozzle plays a vital role in the propulsion of an aircraft to speeds more than the speed of sound. It is known from the Newton's third law that, in order for a body to move forward, it needs to apply thrust in the opposite direction. In order to achieve supersonic speeds we need to eject out mass at supersonic speeds in the opposite direction. This is achieved with the help of a convergent-divergent nozzle setup. In this project you will learn how this nozzle works and accelerates the gases from subsonic to supersonic speeds. You will use the MacCormack's technique to solve the inviscid quasi 1D Navier-Stokes equations (Euler's equations) with second order accuracy in time and space. You will study the conservative and non-conservative forms of governing equations and how they are solved. You will also perform a grid-independent test and come up with an ideal mesh size.
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