FLUID MECHANICS

VINCENZO CITRO FLUID MECHANICS

0612300014
DEPARTMENT OF INDUSTRIAL ENGINEERING
EQF6
MECHANICAL ENGINEERING
2023/2024

OBBLIGATORIO
YEAR OF COURSE 3
YEAR OF DIDACTIC SYSTEM 2018
AUTUMN SEMESTER
CFUHOURSACTIVITY
660LESSONS
Objectives
THE COURSE PURPORTS TO PROVIDE KNOWLEDGE ON GENERAL SCIENTIFIC CONTENTS AND METHODOLOGICAL-OPERATIONAL ASPECTS OF FLUID MECHANICS. IN PARTICULAR, THE COURSE AIMS TO PROVIDE KNOWLEDGE OF THE FUNDAMENTAL EQUATIONS GOVERNING THE MOTION OF A FLUID AND THE ACQUISITION OF THE ABILITY TO PROPERLY SIZE THOSE FLUID SYSTEMS THAT ARE GOVERNED BY A SIMPLE ONE-DIMENSIONAL BALANCE.

THE MAIN KNOWLEDGE ACQUIRED DURING THE COURSE WILL BE:
• DESCRIPTION OF THE MATTER AS A CONTINUUM
• FLUID STATICS
• BALANCE EQUATIONS ON A FINITE VOLUME,
• BALANCE EQUATIONS ON AN INFINITESIMAL VOLUME
• BERNOULLI'S LAW
• CURRENTS WITH NEGLIGIBLE ACCELERATION
• POTENTIAL FLOW
• BOUNDARY LAYER FLOW
• TURBULENT FLOW IN DUCTS.

THE MAIN SKILLS ACQUIRED BY STUDENTS DURING THE COURSE WILL BE:
• TO PROPERLY SIZE THOSE FLUID SYSTEMS WHOSE CHARACTERISTICS DERIVE FROM A SIMPLE ONE-DIMENSIONAL BALANCE
• TO DETERMINE FORCES AND TORQUES ACTING ON SYSTEMS IN CONTACT WITH A FLUID AT REST OR IN MOTION.
• TO DERIVE THE BASIC DIMENSIONLESS PARAMETERS THAT DETERMINE THE BEHAVIOUR AND THE PERFORMANCES OF A FLUID SYSTEM.
• TO OBTAIN AN OVERVIEW OF THE DIFFERENT BEHAVIOURS THAT A FLUID CAN MANIFEST, DESCRIBING IN A SIMPLIFIED MANNER (BOTH QUALITATIVELY AND QUANTITATIVELY) THEIR MAIN FEATURES.
• TO ACQUIRE AND USE A SCIENTIFIC TERMINOLOGY APPROPRIATE TO DESCRIBING AND MODELLING A FLUID SYSTEM.
Prerequisites
FOR THE SUCCESSFUL ACHIEVEMENT OF THE OBJECTIVES, THE KNOWLEDGE IS REQUIRED OF THE CLASSES OF MATHEMATICS I AND II, PHYSICS I AND THERMODYNAMICS AND HEAT TRANSFER
Contents
THE DESCRIPTION OF THE MATER AS A CONTINUUM (6H):
LOCAL MECHANICAL INVARIANTS, BALANCE EQUATIONS, PROPERTIES OF FLUIDS, GENERAL FORM OF THE MOMENTUM FLUX, MASS AND SURFACE FORCES, STRESS TENSOR. (EXCERCISES 2H)
FLUID STATICS (6H):
EQUATION OF HYDROSTATICS, MANOMETERS, FORCES ACTING ON A SURFACES. (EXCERCISES 4H)
BALANCE EQUATIONS ON A FINITE VOLUME (7H):
REYNOLDS TRANSPORT THEOREM, CONSERVATION OF MASS, MOMENTUM AND ANGULAR MOMENTUM WITH APPLICATIONS, DIMENSIONAL ANALYSIS. (EXCERCISES 2H)
BALANCE EQUATIONS ON AN INFINITESIMAL VOLUME (6H):
MATERIAL DERIVATIVE, NEWTON'S LAW OF VISCOSITY, EULER AND NAVIER-STOKES EQUATIONS, STREAMLINES AND THEIR REPRESENTATION, TO A MAXIMUM OF MOTION FLOWS, EXACT SOLUTIONS OF THE NAVIER-STOKES EQUATIONS. (EXCERCISES 2H)
BERNOULLI'S LAW (6H):
STATIC, DYNAMIC AND TOTAL PRESSURE. HYDRAULIC HEAD, HEAD LOSSES , VENTURI TUBE. (EXCERCISES 3H)
CURRENTS WITH NEGLIGIBLE ACCELERATION (6H):
REYNOLDS' THEORY OF LUBRICATION, STOKES FLOW AROUND A SPHERE AND A CYLINDER. (EXCERCISES 2H)
POTENTIAL FLOW (3H):
FLOW FIELDS OBTAINABLE AS A SUPERPOSITION OF SIMPLE SOLUTION (SOURCE/SINK, VORTEX, DOUBLET), GENERATION OF LIFT, LIFT AND DRAG COEFFICIENTS. (EXCERCISES 1H)
THE BOUNDARY LAYER (6H):
CONCEPT OF SIMILARITY, BOUNDARY LAYER ON A FLAT PLATE AND DRAG EVALUATION, QUALITATIVE DESCRIPTION OF THE PHENOMENA ASSOCIATED WITH SEPARATION. (EXCERCISES 3H)
TURBULENT FLOW IN DUCTS (9H):
PROPERTIES OF TURBULENCE, VELOCITY PROFILE, PRANDTL'S LAW OF FRICTION, MOODY DIAGRAM, LOSSES IN STRAIGHT DUCTS, PIPE FITTINGS, FLOW MEASUREMENTS .
OVERVIEW OF THE COURSE AND FINAL EXERCISES (5H).
Teaching Methods
THE COURSE IS BASED ON LECTURES, CLASSROOM EXERCISES AND MOVIE PROJECTIONS. CLASSROOM EXERCISES ARE USUALLY RELATED TO THE THEORY AND ARE CARRIED OUT WITH THE INVOLVEMENT OF THE STUDENTS. SHORT MOVIES CONCERNING EXPERIMENTS ARE PROJECTED FOR ILLUSTRATIVE PURPOSES TO BETTER UNDERLINE SOME PRACTICAL AND THEORETICAL ASPECTS OF THE COVERED TOPICS.
Verification of learning
THE ACHIEVEMENT OF THE OBJECTIVES WILL BE ASSESSED THROUGH A WRITTEN TEST LASTING ABOUT TWO HOURS, COMPRISED OF BOTH THE ANSWER TO THEORETICAL QUIZZES AND THE SOLUTION OF EXERCISES. INTEGRAL TO THE EVALUATION, WHERE TAKEN, WILL BE TESTS OF THE SAME FORMAT CARRIED OUT DURING THE CLASS.
Texts
Y. ÇENGEL, J.M. CIMBALA, FLUID MECHANICS: FUNDAMENTALS AND APPLICATIONS, MCGRAW-HILL 4A ED 2007

FURTHER STUDY REFERENCES:
D. PNUELI, C. GUTFINGER: FLUID MECHANICS. CAMBRIDGE UNIVERSITY PRESS 1997
D. J. ACHESON: ELEMENTARY FLUID DYNAMICS. OXFORD UNIVERSITY PRESS 1990
G. K. BATCHELOR: AN INTRODUCTION TO FLUID DYNAMICS. CAMBRIDGE UNIVERSITY PRESS 2000
R. L. PANTON: INCOMPRESSIBLE FLOW. WILEY 1995
P. LUCHINI: ONDE NEI FLUIDI, INSTABILITÀ E TURBOLENZA. DIPARTIMENTO DI PROGETTAZIONE AERONAUTICA, UNIVERSITÀ DI NAPOLI, 1993
P. LUCHINI, M. QUADRIO: AERODINAMICA. DIPARTIMENTO DI INGEGNERIA AEROSPAZIALE, POLITECNICO DI MILANO, 2000-2002; (CONSULTABILE SU HTTP://PCQUADRIO.AERO.POLIMI.IT/IT/DIDATTICA/AERODINAMICA.HTML)
F. M. WHITE, FLUID MECHANICS, MCGRAW-HILL VI EDIZIONE
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