EMM 312: Fluid Mechanics III First Semester Examination

Open channel and compressible flow paper. Defines critical depth and derives it for a rectangular channel, shows the Froude number equals one at critical conditions, and works specific energy, critical depth and maximum discharge for a channel of given width, velocity and depth. Explains shock waves and separates normal from oblique, derives the maximum flow over a broad crested weir, and establishes when a hydraulic jump forms and the depth after it with the loss of specific energy. Continues with the pressure rise when a valve closes on a liquid in a thin walled pipe, treated for a rigid pipe and for an elastic one that stretches, and derives Bernoulli's equation for a compressible fluid under steady adiabatic conditions, applied to the maximum continuous discharge of air from a small orifice in the side of a large vessel.