Course Content (Syllabus)
General properties of fluids. Hydrostatic pressure, forces due to it. Description of a flow field: equations of continuity, Euler equations, Bernoulli equation, measurement of flow rate, static and total pressure, instruments. Conservation of momentum, applications. Similarity, non dimensional numbers. Navier –Stokes equations, analytical solutions. Laplace equation for 2-D, steady, incompressible, irrotational flow: velocity potential, stream function, elementary flows.
The boundary layer: Prandl’s equation for laminar flow, integral quantities. The boundary layer of a flat plate, boundary layer separation. Transitional and turbulent flow: description of turbulent flow, turbulence quantities, the effect on the flow, introduction to turbulence modeling. Introduction to Computational fluid mechanics. Flow in pipes: Velocity profiles, Pressure drop, Moody diagram. Flow and pressure field in pipe components, nozzles, diffusers, curves, valves. External flow, flow around bodies: cylinders, spheres, prisms of various cross sections, aerodynamic shapes. Compressible flow: Sonic velocity, Mach no, isentropic flow, Laval nozzle, compressible flow in pipes. Water hammer in pipes, and problem alleviation techniques.