Fluid Mechanics

Prerequisite Knowledge

Mechanics of deformable bodies, Calculus of several variables, Differential equations

Course Units

#	Title	Description	Hours
1	Introduction	Fluid properties.	1Χ4=4
2	Hydrostatics	Hydrostatics equation, pressure distribution in homogeneous and density-stratified fluids, manometers, pressure forces on flat and curved surfaces, Archimedes principle, buoyancy force on submerged bodies.	2Χ4=8
3	Kinematics	Eulerian and Lagrangian flow description. Streamlines, streaklines, pathlines and timelines. Deformation of fluid elements, vorticity and circulation.	1Χ4=4
4	Fundamental laws of fluid mechanics	Differential analysis of the flow. Mass, momentum and energy conservation principles, continuity and Navier Stokes equations.	1Χ4=4
5	Control volume analysis	Reynolds transport theorem,continuity, momentum and energy equations. Energy and hydraulic grade lines, hydraulic machinery, pumps and turbines.	2Χ4=8
6	Ideal fluid and applications	Euler and Bernoulli equations, irrotational flow, potential and stream function, Laplace equation, Pitot tube.Flow separation and cavitation. Flow discharge through orifices, trajectory of free jets, flow over weirs and under sluice gates.	2Χ4=8
7	Viscous fluids	Reynolds number, laminar and turbulent flow. Lift and drag forces on submerged bodies in a moving fluid.	1Χ4=4
8	Laminar flow	Couette and Poiseuille flow.	1Χ4=4
9	Turbulent flow in pipes, boundary layer, velocity distribution, energy loss	Laminar and turbulent boundary layer, displacement and momentum thickness, boundary shear stress. Velocity distributions in turbulent pipe flow. Darcy-Weisbach equation, friction energy losses. Friction coefficient in turbulent and laminar flow, Colebrook-White equation, Moody diagram.	2Χ4=8

Learning Objectives

Upon the successful completion of the course the student will be able to:

o Calculate pressure forces on flat and curved submerged surfaces o Calculate flow velocity and pressure distribution using control volume analysis in open and in closed (confined) flow fields, as well as the dynamic loads on structures that contain or are submerged in the moving fluid o Calculate flow rate through orifices, over weirs and under sluice gates o Calculate lift and drag forces on submerged bodies in a moving fluid o Calculate the velocity and shear stress distribution in laminar flow fields o Calculate friction energy loss and draw the energy (EGL) and hydraulic grade lines (HGL) in closed systems

Teaching Methods

Teaching methods	Lectures.
Teaching media	Power point lectures, fluid mechanics films from laboratory or field experiments and natural flows
Problems - Applications	The solutions of 7-8 problem sets assigned, to be returned by the students.

Student Assessment

• Final written exam: 70%
• Mid-term exam: 15%
• Problems - Applications: 15%

Textbooks - Bibliography

1. Νουτσόπουλος, Γ. Χριστοδούλου Γ. Μαθήματα Μηχανικής των Ρευστών, Εκδόσεις Φούντα
2. Λιακόπουλος Α. Μηχανική Ρευστών, Εκδόσεις Τζιόλα.
3. Elger, DF, Williams, BC, Crowe, CT and Robertson, JA, 2016. Μηχανική ρευστών για μηχανικούς, 10η Έκδοση, Εκδόσεις Τζιόλα.
4. Gerhart, PM, Gerhart, AL, Hochstein, JI, 2017. Munson, Young και Okiishi’s Μηχανική ρευστών, 8η Έκδοση, Εκδόσεις Τζιόλα.

Lecture Time - Place:

• Tuesday, 12:45 – 14:30,
  Rooms:
  • Ζ. Κτ. 1 Πολ., Αιθ. 1
  • Ζ. Κτ. 1 Πολ., Αιθ. 7
• Friday, 12:45 – 14:30,
  Rooms:
  • Αιθ. 17
  • Ζ. Κτ. 1 Πολ., Αιθ. 12