Question

Problem 3) For quasi-1D steady adiabatic flow in a converging-diverging channel with negligible friction, show that the maximum achievable mass flux (m/A) occurs at "critical" or sonic flow with Mach number

equal to one, valid for all simple compressible substances. Note: For steady quasi-ID flow the maximum mass flux must occur at the minimum flow area (So dA-0). Clearly show symbolic equations. Starting from fundamental principles, explain the logical and algebraic steps to show the requirement for Mach number equal to one at this critical condition. You may refer to the text but do not use derived expressions from the text to skip over fundamental