Fluid Mechanics Ι

Properties of fluids. Hydrostatics pressure in fluids, measuring instruments, hydrostatic forces on plane surfaces, buoyancy, stability of floating bodies. Kinematics and fluid dynamics - Lagrange and Euler methods, total derivative, description of the flow field, mass and volume flow, pathlines, streaklines, streamlines, flow types - uniform, non-uniform, steady, non-steady, one- two- and three- dimensional. Integral and differential forms of continuity equations. Euler & Bernoulli equations. Dynamic flow - streamlines equations, vorticity, irrotational flow, velocity potential. Flow in two dimensions - uniform flow, sources and sinks, free vortices. Superposition of elementary plane-flow solutions - simulation of flow around a half-body, the Rankine oval , linear doublet, flow around a cylinder. Lift and drag forces. Two dimensional flow around hydrofoils. Three-dimensional flow around a wing. Linear wave theory, small amplitude waves, dispersion relation, wave energy.
Exercises: Problem-solving in accordance to the theoretical part.
Laboratory: Simulation of fluid mechanics basic phenomena and their corresponding computations using appropriate computer packages in the PC laboratory (e.g. MATLAB, COMSOL).

Fluid Mechanics ΙΙ

Dimensional analysis - Rayleigh method and Pi theorem. Geometric, kinematic and dynamic similarity. Reynolds, Froude, Weber and Euler numbers. Theory of model tests. Non- compressible fluid flows in closed pipes - laminar and turbulent flows, energy loss during flow, Darcy - Weisbach equation, Moody chart, secondary losses, energy line, hydraulic line, multiple-pipe systems, pipe networks. Boundary layer - description and calculations. Compressible flows - elements of thermodynamics, sound speed, Mach number, isentropic flow, shock waves, Fanno lines. Compressible flow in pipes. Measurements in fluid dynamics - measurement of speed, pressure, flow and viscosity. Rotodynamic machines - pumps, turbines, cavitation, connection and installation.

Laboratory: Laboratory exercises.