Advanced physics

A symmetric planar (2D) dual-bell nozzle is designed using a Method of Characteristics minimum-length method to have two operating points. One is for low altitude supersonic operation where the pressure at an intermediate point 'i', as sketched in Figure Q.2 below, is equal to the environment pressure p. and one at high altitude, where there is an additional expansion from "i' to the exit 'e'. Considering a high-altitude design case with Mi=1.6 and Me=2.7, find the turning angle of the flow at points 't' (the throat) and 'i' and sketch the characteristic lines (start with 3 lines from each expansion fan).e M=1 M=M; centreline M=Me First stage: flow Second stage: flow accelerated to M; accelerated from M, to M