3 (25 MARKS) Define what is a shock wave and elaborate on the flow physics of the formation of a shock wave based on the piston-tube theory. Use diagrams to assist in your explanation. a. b. C. The pressure ratio across a normal shock wave is given by the following equation: B_[(+1) 8-1] (+1)- P = P2 (CO1:PO1 - 4 Marks) P1 Show that this equation can be derived from the basic equations of conservation of mass, conservation of momentum and conservation of energy. (CO1:PO1 - 6 Marks) The flow inside the intake of a scramjet is found to be supersonic with Mach number of 2.5. From the instrumentations located inside the intake section, the static pressure and temperature were measured as 1 atm and 290 K, respectively. Inside the intake, the flow encounters the first compression ramp at an angle of 22. As an intake engineer, investigate the flow properties (Mach number, static pressure and temperature, stagnation pressure and temperature) after the resulting first oblique shock wave, so that the 2