Unit VISCOUS FLOW MODELLING

Course
Sustainable materials and processes engineering
Study-unit Code
A004705
Curriculum
In all curricula
Teacher
Bruno Brunone
Teachers
  • Bruno Brunone
Hours
  • 60 ore - Bruno Brunone
CFU
6
Course Regulation
Coorte 2024
Offered
2024/25
Learning activities
Affine/integrativa
Area
Attività formative affini o integrative
Academic discipline
ICAR/01
Type of study-unit
Obbligatorio (Required)
Type of learning activities
Attività formativa monodisciplinare
Language of instruction
English
Contents
Fundamentals of numerical modelling of flow processes in pressurized pipes will be illustrated with regard to both steady- and unsteady-state processes.
Reference texts
Ghetti, A. (1996). Idraulica. Edizioni
Cortina (Padova), 570 pp.
Educational objectives
To simulate properly the behavior of pressurized flow in steady and unsteady-state conditions.
Prerequisites
There is no prerequisite.
Teaching methods
The course is divided into lessons and exercises. If allowed, some practical applications will be take place at the Water Engineering Laboratory (WEL) of the Department of Civil and Environmental Engineering.
Other information
At the end of the course, summary lessons will take place, if necessary.
Learning verification modality
The exam is oral.
Extended program
Fluid Media as Continuous Systems. Density, Compressibility, and Viscosity (Measurement of Viscosity). Adherence Condition and Newton's Law. Equation of State. Lagrangian and Eulerian Approaches. Eulerian Derivation Rule. Local Continuity Equation. Transport Theorem and Global Continuity Equation.
Local Equation of Dynamic Equilibrium and Statics. Stevin's Law. Properties of Fluids at Rest, Compressible, Heavy. Force on Flat and Curved Surfaces. Mariotte's Formula for Calculating the Thickness of a Tube. Measurement of Pressure.
Formulating the Problem in Local Terms. Global Equation of Motion (and Hydrostatics) with the Transport Theorem. Euler's Equation. Bernoulli's Theorem for a Fluid Stream and its Geometric Interpretation. Torricellian Velocity and the Fundamental Equation of Outflow.
Extension of Bernoulli's Theorem to Finite Section Flows. Gradually Varied Flows and Their Properties. Extension of Bernoulli's Theorem to Gradually Varied Finite Section Flows. Energetic Significance of Bernoulli's Trinomial (with the Transport Theorem). Extension of Bernoulli's Theorem to Gradually Varied Finite Section Flows of Real Liquids.
Reynolds Experiment, Shear Stresses, Adherence Condition, Boundary Layer, Velocity Profile, Relative Roughness, and Darcy-Weisbach Formula. Evaluation of Continuous Head Losses (Nikuradse's Diagram and Moody's Chart) and Concentrated Losses (Borda's Formula and Some Recurring Situations). Verification of Short Pipelines. Pumping Systems: Design and Management Issues.
Varied Flow in Pressurized Streams (Overview).
Relationships Between Angular Deformation Velocity and Shear Stresses. Relationships Between Linear Deformation Velocity and Normal Stresses. Navier-Stokes Equations for Incompressible Fluids. Uniform Flow in Circular Pipes in Laminar Regime and Poiseuille's Formula. Dimensionless Form of the Navier-Stokes Equations.
Fundamentals of Computational Fluid Dynamics (CFD). The first lecture introduces Computational Fluid Dynamics (CFD), explaining its purpose and general
procedures. It covers the finite volume method and emphasises the importance of validating numerical data.
Various application branches of CFD are presented, and the different software licenses available, both
commercial and non-commercial, are discussed.
The second lecture introduces the OpenFOAM software, detailing the available solvers and turbulence models.
It explains the case structure, including the organisation of folders and files. Instructions are provided on how
to run simulations in parallel, particularly in a cluster of computers. The cavity tutorial is analysed in detail, and
the mesh generation software available for use with OpenFOAM is covered.
The third lecture features a hands-on session on the 2D sloshing of water in a tank. To conclude and illustrate
the OpenFOAM features, real case studies are explained, demonstrating the integration of experimental
facilities with CFD studies.
Obiettivi Agenda 2030 per lo sviluppo sostenibile
6: Clean Water and Sanitation

9: Industry, Innovation, and Infrastructure

13: Climate Action
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