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Fundamentals of Mathematics. Analytical mechanics
The aim of the course is to teach students of the Architectural Engineering the fundamental concepts in the field of Hydraulics, Hydrology and Hydraulics structures with reference to design of urban water supply and sewer systems.
The first part of the course concerns the fluid mechanics concepts in relation to the hydrostatic, the kinematics and the dynamics of the non compressible fluids; thus the Stevin law, the continuity equation and the Euler theorem are showed. Starting from these concepts the Bernoulli theorem is derived and its application to the real fluids in pipe and canals is proposed by using the semi-empirical relationship between energy dissipation and hydraulic characteristics of flow and pipes (or canals).
The second part deals with water supply systems. Detention tanks and supply pipe with constant flow are firstly considered. Then the water needs in the urban area are taken into account. Finally design criteria for the pipe network are showed and numerical methods for verification of network behaviour in different supply situation are applied.
The third part regards Urban Hydrology and Sewer systems design. The hydrological cycle is illustrated and the particular cycle in the urban context is considered. The measurement equipments for different hydrological variables and parameters are briefly recalled and the statistical analysis of extreme rainfall for single rain-gage is showed. Then some methods for computation of areal reduction factor, initial abstraction and infiltration are illustrated. The Rainfall-Runoff process is simulated trough the rational method and the iterative method for the design sewer system is applied to some simple examples.
Idraulica, M.Mossa e A.F.Petrillo, Casa Editrice Ambrosiana, 2013, ISBN 978-88-08-18072-8
Blackboard, slides, surveys and seminars
Both written and oral test