EMM 312: Fluid Mechanics III Second Semester Examination

Compressible flow and open channel paper. Defines critical depth, shows that critical conditions in a rectangular channel occur at a Froude number of one, finds the channel slope from discharge, depth and Chezy constant, derives the height of a hydraulic jump and relates critical depth to critical specific energy. Treats the maximum continuous discharge of air through an orifice in the side of a large vessel, which occurs when the pressure ahead of the orifice is the critical fraction of the vessel pressure, with the corresponding back pressure and discharge for a nozzle, and derives Bernoulli's equation for compressible adiabatic flow applied to a venturimeter measuring air. Closes on normal and oblique shock waves, the temperature ratio across a shock, local Mach number, stagnation pressure, density and temperature, and the static pressure of air moving through a trunk at a stated stagnation pressure.